Answer:
Lola can buy 12 DVD's,
Step-by-step explanation:
Lola's dad gives each of his 5 children an equal part of $340, which means that each child receives $340 / 5 = $68. Lola adds $28 to her portion, so she has a total of $68 + $28 = $96 to spend on gifts.
Lola finds classic DVDs for $8 each, and she has $96 to spend, so she can buy a total of $96 / $8 = 12 DVDs. Therefore, Lola can buy 12 classic DVDs with the money she received from her dad and the additional money she added.
I did some stuff I hope you get the bar graph or a diagram of sorts
The number of DVDs Lola can buy if, Lola's dad gives each of his 5 children an equal part of $340 to buy gifts, is 12.
What is division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
Lola's dad gives each of his 5 children an equal part of $340 to buy gifts,
Lola adds $28 to her portion. She finds classic DVDs for $8 each,
Calculate the money each child gets as shown below,
The money each child gets = Total money/number of children
The money each child gets = 340 / 5
The money each child gets = 68
The total money Lola has after adding extra money,
The total money Lola has = 68 + 28
The total money Lola has = 96
Calculate the number of DVDs as shown below,
The number of DVDs = total money/price of each DVDs
The number of DVDs = 96 / 8
The number of DVDs = 12
Thus, the number of DVDs Lola can buy is 12.
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How do I solve for X?
Step-by-step explanation:
remember some of the angle theorems inside a circle.
first of all, arc angles are the angles of the corresponding circle segments at the center of the circle (the angle between the lines from the points on the arc to the center).
and, of course, all the arc angles together around a circle are therefore 360°.
so,
(8x + 20) + 104 + arc angle KJP = 360
and then :
the opposite angle is half of the arc angle for the same points on the circle arc.
angle L = 5x + 1 is the opposite angle of K and P, and that is therefore half of the arc angle KJP.
5x + 1 = (arc angle KJP)/2
arc angle KJP = 2×(5x + 1)
and by using this in the first equation we get
(8x + 20) + 104 + 2×(5x + 1) = 360
8x + 124 + 10x + 2 = 360
18x + 126 = 360
18x = 234
x = 234/18 = 13
what property is this? i’m so confused. like is it right?
Is triangle LMN a right triangle?
It is demonstrated in the following figure itself that △LMN is a right triangle.
What is a right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.
The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
To describe the sides of right triangles, we utilize specific terminology.
The side opposite the right angle is always the hypotenuse of a right triangle.
So, in the given figure, it is shown that △LMN is a right triangle.
Therefore, it is demonstrated in the following figure itself that △LMN is a right triangle.
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What is the nature of the roots 5x² 3x 2 0?
The nature of the roots of the equation 5x² + 3x + 2 = 0 are x = -7.123 and x = 0.878.
The equation 5x² + 3x + 2 = 0 has two solutions, or roots, which can be found using the quadratic formula:
x = [-b ± √(b² - 4ac)] / 2a
Where a = 5, b = 3 and c = 2,
x = [-3 ± √(3² - 4(5)(2))] / 2(5)
x = [-3 ± √17] / 10
x = (-3 ± 4.123) / 10
x = (-7.123) / 10, 0.878
The roots of the equation 5x² + 3x + 2 = 0 are x = -7.123 and x = 0.878.
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A bakery records whether the customer is a loyalty program member or not on each receipt.
Total purchase price for both members and non-members is skewed toward the higher
prices.
The bakery takes separate random samples of 45 receipts from members and non-members.
They look at the difference in the mean total price from each group
(member - non-member).
What do we know about the shape of the sampling distribution of TM - IN, and why?
The sample size is more than 30 and according to the central limit theorem, with a sample size of more than 30, approximately normal distribution.
What is the central limit theorem?
The central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
We have,
the shape of the sampling distribution of the (mean of members - mean of non-members):
A. It's exactly normal because both populations are normally distributed.
B. It's approximately normal because both sample sizes are at least 30.
C. It's skewed, because the populations are skewed, and both sample sizes are at least 30.
D. The shape cannot be determined since we don't know the shape of either population distribution.
Option (B) is true, as the sample size is more than 30 and according to the central limit theorem, with a sample size of more than 30, approximately normal distribution.
Hence, the sample size is more than 30 and according to the central limit theorem, with a sample size of more than 30, approximately normal distribution.
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What equation can be formed that would relate the width length and the area of the room?
The equation that makes relationship between width, length and area of a room is Area of room = length of room × width of room and perimeter of room = 2× (length of room + width of room)
How to calculate the size of a room?The size of a room is either square or rectangle in shape. Whenever a room is rectangle shaped, we need to measure all the side lengths and finally area is found by product of two unequal side length. Besides, we can determine the perimeter of room by adding the two unequal side length and finally 2 is multiplied with it.
What is the formula for rectangle or square?We stated earlier that the size of a room is either rectangle or square.
area of square shaped room = (side length× side length)
area of rectangle shaped room = (bigger side length × smaller side length)
perimeter of square shaped room = 4 × side length = 4√(area of room)
perimeter of rectangle shaped room = 2(bigger side length + smaller side length)
hence, the above equations make relationship among the width, length, area and perimeter of a room.
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Y = 1/3x + 4
3x+y=-6
Answer:
Step-by-step explanation:
x= -3
y= 3
Is purple math free?
Yes, Purple math is a completely free online math resource for students and teachers.
What is purple math?
Purple math is an online resource that provides comprehensive math lessons and problem-solving tools for students of all ages.
It offers step-by-step instructions for solving math problems, interactive tutorials, and helpful study guides.
The website also features practice tests, quizzes, and a variety of other learning resources to help students improve their math skills.
Purple math makes learning math fun and accessible to everyone, no matter their age or learning level.
According to the given question:
It provides comprehensive math lessons and tutorials, as well as interactive practice questions with instant feedback. It is an invaluable tool for students of all levels as it is free, from middle school to college, who are looking to improve their math skills and better understand mathematical concepts.
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Is 3x 1 a quadratic equation?
3x - 1 = 0 is not a quadratic equation.
What is a quadratic equation?A variable with the largest power of two in a quadratic equation is called a variable. Quad, which signifies square, is the root of the term quadratic. The phrase must be two times its own strength, neither higher nor lower.
Given that they are the x values for which f(x) = 0, the roots of the function f(x) = ax² + bx + c correspond to the solutions of the quadratic equation ax² + bx + c = 0.
The term ax² is known as the quadratic term (hence the function's name), the word bx is known as the linear term, and the value c is known as the constant term.
In the given equation: 3x - 1 = 0 , no ax² term is given, so it is not a quadratic equation.
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The complete question is as follows:
Is 3x - 1 = 0 a quadratic equation?
Which is a factor of x³ 7x 6?
The factor of [tex]x^3 -7x + 6[/tex] is (x - 1) (x +3) (x -2).
Now, According to the question:
The given expression to be factorized is :
[tex]x^3 -7x + 6[/tex]
This can be written in the form:
[tex]x^3 -7x + 6[/tex] = [tex]x^3[/tex] - (1 + 6)x + 6
[tex]x^3 -7x + 6[/tex] = [tex]x^3[/tex] -x - 6x + 6
Take common 'x' from the first two terms and -6 from the last two terms. Then we have,
[tex]x^3 -7x + 6[/tex] = x([tex]x^2 -1[/tex]) -6 (x -1)
= x{ [tex](x)^2 - (1)^2[/tex] } - 6(x -1)
= x(x +1) (x -1) - 6(x -1)
Finally, Take common (x -1) from the above expression:
[tex]x^3 -7x + 6[/tex] = (x -1) {x(x +1) - 6}
= (x -1) [tex](x^{2} +x-6)[/tex]
= (x -1)([tex]x^{2}[/tex]+3x -2x -6)
= (x - 1) (x (x +3) -2 (x +3))
= (x - 1) (x +3) (x -2)
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The complete question is this:
Which is the factor of [tex]x^3 -7x + 6[/tex]
1. x(x -6) (x -1)
2. [tex](x^{2} -6)[/tex] (x -1)
3. (x + 1) (x + 2) (x +3)
4. (x - 1) (x +3) (x -2)
What is the space between contour lines called?
The space among contour lines are known as Sharp slopes which is closely spaced contour lines. Gently sloping or comparatively flat regions are shown by widely spaced contour lines.
Contour lines link places with the same elevation; if they are close together (they never intersect), the terrain is steep and the elevation changes quickly over a short distance. The elevation changes gently where the contour lines are far apart, indicating a moderate slope.
The areas between the contour lines are filled with colors when using the layer tinting technique. A particular height is indicated by each color. Contours are shown as lines. A hilltop is indicated by a contour line that creates a closed loop with no other contour lines inside. Sharp slopes are indicated by closely spaced contour lines. Gently sloping or comparatively flat regions are shown by widely spaced contour lines.
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Which 3 transformations can be described as rigid transformations because they keep shapes congruent?
The size and shape of things are preserved by stiff transformations (reflections, translations, and rotations). As a result, archetypes and visuals are always compatible.
What is rigid transformations?The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape. The form remains the same after being pushed left and right, rotated, and flipped. When the mold was created using putty, the opposite was true. The thing can then be twisted and stretched. These conversions, nevertheless, are not exact. Stretching a form alters the distances between each pair of its points.
c + 18 + 10 = 42//
[tex]c = 42 -(18 + 10) cm = 14 cm\\s = 21 cm//[/tex]
Area = [tex]\sqrt{s(s - a)(s - b)(s - c) }[/tex]
and, here s = half the perimeter,
[tex](a + b + c)/2.[/tex]
A = [tex]21\sqrt{11}[/tex]
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Here are 2 triangles. One triangle has a 60 degree angle and a 40 degree angle. The other triangle has a 40 degree angle and an 80 degree
angle.
How long are the sides labeled x and y?
x= (blank) units and y= (blank) units.
Answer:
x=4.04 y=7.66
Step-by-step explanation:
How do you solve inverse questions?
In order to solve a inverse function question we switch the coordinates of x with that of y and the perform the required calculations.
The result which we get as is considered as a relation and not as a function.
We an calculate inverse for functions which are one to one .
A function is known as a one to one function only when every second element matches the first value.
The inverse question is a type of function , when we solve this function we get another function which is represented as , ‘g’ and is known as the inverse of function .
y = f(x) then,
x = g(y)
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Please give a step by step explanation
From the concepts and properties of triangles, m∠BDC is 26°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is equal to 180°.
In the given ΔABD, line segment AD and BD are equal and hence it is an isosceles triangle.
Therefore,
x° + x° + 70° = 180°.
2x° = 110°.
x = 55°.
So, m∠DAB = m∠DBA = 55°.
We know the sum of linear pair of angles is 180°.
Therefore, m∠ABD + m∠DBC = 180°.
55° + m∠DBC = 180°.
m∠DBC = 125°.
Now,
m∠BDC + m∠DCB + m∠CBD = 180.
m∠BDC + 29° + 125° = 180°.
m∠BDC = 26°.
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Tim needs a new car while he attends college in the United States for the next three years. The car he would like has a MSRP of $15,000. A local dealer can get him a 3-year loan with a 7% interest rate if Tim can give them a $1,500 down payment.
The same dealer offers the same car to lease with a money factor of 0.00271 and a residual value of 75%. The lease requires an additional fee of $1,250 to cover Tim’s security deposit and the acquisition and documentation fees for the car.
Tim is looking to drive the car home with the smallest initial out-of-pocket cost. Which of the following statements is true?
a.The initial out-of-pocket cost is less for the lease.
b.The initial out-of-pocket cost is less for the loan.
c.The initial out-of-pocket cost is the same for the lease and loan.
d.The initial out-of-pocket cost for a lease is not comparable to that of a loan.
Answer:
A
Step-by-step explanation:
To compare the initial out-of-pocket cost for the lease and loan options, we need to calculate the total cost for each option.
For the loan option, we can calculate the total cost as follows:
Total cost = MSRP + down payment + interest
= $15,000 + $1,500 + $1,050 (7% of MSRP)
= $17,550
For the lease option, we can calculate the total cost as follows:
Total cost = (MSRP x money factor x 36) + acquisition and documentation fees + security deposit
= ($15,000 x 0.00271 x 36) + $1,250
= $5,925 + $1,250
= $7,175
Since the total cost for the lease option is less than the total cost for the loan option, the initial out-of-pocket cost is less for the lease. Therefore, the correct statement is:
a. The initial out-of-pocket cost is less for the lease.
A boat heading out to sea starts out at Point A, at a horizontal distance of 1032 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 15°. At some later
time, the crew measures the angle of elevation from point B to be 6°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answer:
1598.9 ft
Step-by-step explanation:
You want the distance between points A and B when observers at each point find the angle of elevation to a lighthouse beacon to be 15° and 6°, respectively. Point A is 1032 ft horizontal distance from the lighthouse.
TangentThe tangent relation for sides in a right triangle is ...
Tan = Opposite/Adjacent
This can be rearranged to ...
Opposite = Tan × Adjacent
SetupIf d is the distance in feet from A to B, two expressions for the same lighthouse height can be written:
height = tan(15°)(1032)
height = tan(6°)(1032 +d)
SolutionEquating these values of height, we have ...
tan(6°)(1032 +d) = tan(15°)(1032)
d = 1032(tan(15°) -tan(6°))/tan(6°) = 1032(tan(15°)/tan(6°) -1)
d ≈ 1598.946 . . . . feet
The distance from A to B is about 1598.9 feet.
Need help!!
Maria is making t shirts to sell to earn money for a field trip. She only has enough money to make 25 t-shirts or less. If t represents the number of t shirts, write an equality that represents the situation
Answer: 25 smaller than or equal to t
Step-by-step explanation:
Because we know that she only has enough money to make 25 t-shirts or less, our number 25 will be smaller than or equal to t.
To diplay the ditribution of the length in inche of a ample of brook trout, you could ue
To display the distribution of the lengths in inches of a sample of brook trout, the graph you should use is histogram. (Option A)
A histogram refers to a graphical representation of data points organized into user-specified ranges. It is an approximate representation of the distribution of numerical data. It is similar in appearance to a bar graph; however, the histogram condenses a data series into an easily interpreted visual by taking many data points and grouping them into logical ranges or bins. It is used to summarize discrete or continuous data that are measured on an interval scale. The histogram is represented by a set of rectangles, adjacent to each other, where each bar represents a type of data. Hence, in order to display the distribution of the lengths in inches of a sample of brook trout, the appropriate graph to use is histogram.
Note: The question is incomplete. The complete question is probably is: To display the distribution of the lengths in inches of a sample of brook trout, what graph should you use? A) histogram B) bar chart C) scatterplot D) pie chart E) line graph.
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Miyo can make 5 origami figures in 3 minutes. How many origami figures can Miyo make in 18 minutes?
Answer:
Miyo can make 30 origami figures in 18 minutes
Step-by-step explanation:
tbh, i just counted up by 5's until i reached 18
Answer: 3
Step-by-step explanation: Because we know Miyo can make 5 origami figures in 3 minutes. and we want to know How many origami figures can Miyo make in 18 minutes? so, we know 5*3 is 15. right? well, then we take 18-15 and get 3 so, Miyo can make 3 origami figures in 18 mins.
A(n) _____ s a numerical summary of a sample. A(n) _____ is a numerical summary of a population.
Answer:
1. statistic 2. parameter
Step-by-step explanation:
Rearrange w = 3(2a + b) - 4 to make a the subject.
Answer:
The answer is a = w + 4 - 3b/2
Step-by-step explanation:
w = 3(2a + b) - 4
add 4 both sides we get,
w + 4 = 3(2a + b) - 4 + 4
w + 4 = 3(2a + b)
w + 4 = 6a + 3b
Subtract 3b from both sides we get,
w + 4 - 3b = 6a + 3b - 3b
w + 4 - 3b = 2a
Now, Divide both sides by 2 we get,
w + 4 - 3b/2 = 2a/2
a = w + 4 - 3b/2
Thus, The answer is a = w + 4 - 3b/2
What is a graph Grade 4?
Sets of points connected by typical lines or curves form graphs.
What is a graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The five main types are:Blank graph is a null graph, also known as an empty graph, is a graph with no connections connecting any of its vertices.A connected graph is one in which every pair of its vertices is connected by an edge path.A disconnected graph is one in which not every vertex is always connected by the path of the edges.A graph that can be divided into two sets of vertices, with edges passing solely between the two sets and not among them, is said to be bipartite.Weighted graph has assigned weights, or numerical values, to each of its edges is referred to as a weighted graph.To learn more about graphs, refer:
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Wanda is a cake designer with a specialty in rectangular silk screen photo cakes. For every cake that she makes, the width of the cake is 4 inches more than the width of the photo in the center of the cake, and the length of every cake is two times its width. The area of the cake wanda is currently working on is at least 254 square inches.
The inequality x² + 8x - 238 <= 0 represents the situation in which the area of the cake is at least 254 square inches.
The width of the cake is 4 inches more than the width of the photo, so the width of the cake can be represented by the expression x+4.
The length of the cake is two times its width, so the length of the cake can be represented by the expression 2(x+4).
The area of the cake is the product of its length and width, so it can be represented by the expression (x+4)(2(x+4)).
To represent the situation in which the area of the cake is at least 254 square inches, we can set the expression for the area equal to 254 and solve for x:
(x+4)(2(x+4)) >= 254
2x² + 16x + 16 >= 254
x² + 8x - 238 <= 0
The inequality x² + 8x - 238 <= 0 represents the situation in which the area of the cake is at least 254 square inches.
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Determine if the table shows a proportional relationship.
x 7.2 9.2 13.6
y 1.8 2.3 3.4
Yes, it is proportional because all y over x ratios are equivalent to one half.
Yes, it is proportional because all y over x ratios are equivalent to one fourth.
No, it is not proportional because 9.2 over 2.3 does not equal 1.8 over 7.2.
No, it is not proportional because 2.3 over 9.2 does not equal 13.6 over 3.4.
Answer:
the answer it's No, it is not proportional because 2.3 over 9.2 does not equal 13.6 over 3.4.
Answer: The answer is C!
Step-by-step explanation:
Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? Responses C(t)=−0.10t+25 C t = - 0 . 10 t + 25 C(t)=0.10t+25 C t = 0 . 10 t + 25 C(t)=25(0.10)t C t = 25 0 . 10 t C(t)=25(1+0.10)t
With the help of Algebra the correct function is C(t) = 0.10t+25.
What is Algebra?
Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating them. It is used to solve a variety of equations and problems by using formulae, equations and graphs. Algebra is primarily used to find unknown values, such as the unknown side of a triangle or the value of a variable in an equation. It can also be used to solve problems that involve more than one variable, such as those involving linear equations and systems of equations. Algebra is a powerful tool for problem-solving and can be used in various scientific fields, such as physics, chemistry and engineering. It is essential for developing a good understanding of mathematics and is an important part of any mathematics curriculum.
Assuming that : y = kx + b
plug in : ( 0, 25 ) and ( 50, 30)
25 = b
30 = 50k + 25
so, k = 0.10 after solving this equation
y = 0.10t+25
Hence the function is C(t)= 0.10t+25
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help again asap pls!!!!!!!!!
Answer:
9
Step-by-step explanation:
vertical angles are congruent
110=13x-7
110+7=13x
117=13x
divide
9=x
x=9
How do you find the height of an isosceles triangle without the base?
The height of the isosceles triangle is h = [tex]\sqrt{a^{2}-\frac{c^{2} }{4} }[/tex]
Given,
Isosceles triangle;
An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
Follow these procedures to determine an isosceles triangle's height:
The lengths of the two equal sides are squared.Step 1 is then reduced by the square of the unequal side length, its result being divided by four.The outcome from Step 2's square root.The height of an isosceles triangle is the outcome.That is,
Height, h = [tex]\sqrt{a^{2}-\frac{c^{2} }{4} }[/tex]
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What is the mean of the following numbers 23 45 87 40 50?
The mean of the set of numbers 23, 45, 87, 40, and 50 is 49. This is the average value of the set, and it is affected by all the values in the set.
The mean, also known as the arithmetic mean, of a set of numbers is found by adding up all the numbers in the set and dividing by the total number of numbers in the set. In this case, the set of numbers is 23, 45, 87, 40, 50. When we add up all the numbers in the set, we get a total of 245. There are 5 numbers in the set, so the mean is 245 / 5 = 49.
To find the mean, we first need to add up all the numbers in the set. Then, we divide that sum by the total number of numbers in the set. This gives us the average value of the set.
In summary, the mean of the set of numbers 23, 45, 87, 40, 50 is 49. This is the average value of the set, and it is affected by all the values in the set.
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A small company manufactures two products: A and B. Each product requires three operations: assembly, finishing and testing. Product A requires 1 hour of assembly, 3 hours of finishing, and 1 hour of testing. Product B requires 3 hours of assembly, 1 hour of finishing, and 1 hour of testing. The total work-hours available per week in the assembly division is 60, in finishing is 60, and in testing is 24. Each item of product A has a profit of $50, and each item of Product B has a profit of $75. How many of each should be made to maximize profit?
Hence,the company should produce 12 pieces of Model A and 6 pieces of Model B to get the maximum profit i.e. 168000.
How many of each should be made to maximize profit?Let x be the number of pieces of model A and y be the number of pieces of model B.
Let total profit be Z
Then, Total profit =8000x+12000y
Z=8000x+12000y .............. (i)
Now we have the following mathematical model for the given problem
Max Z=8000x+12000y
Subject to constraints
9x+12y≤180 .......... (Fabricating constraints)
3x+4y≤60 .......... (ii)
x+3y≤30 (Finishing constraints)........ (iii)
Let us evaluate the objective function Z at each point as shown below
At C(0,10), Z=8000×0+12000×10=120000
Maximum value of Z is 168000 at B(12,6)
Hence, the company should produce 12 pieces of Model A and 6 pieces of Model B to get the maximum profit i.e. 168000.
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