The shadow price of a constraint, the change in the objective function value for a unit change in (RHS) value of the constraint, with all other variables held constant.
What are constraints?A constraint is a condition of an optimization problem that should be satisfied the condition.
We can formulate this problem as a linear programming model (LPM):
Suppose X1 be the number of belt A produced per day, X2 be the number of belt B produced per day and X3 be the number of belt C produced per day
The objective function is to maximize the profit;
3X1 + 5X2 + 4X3.
The constraints are as :
The time spent on machine M1 must be less than or equal to 8 hours per day so we get;
2X1 + 3X2 <= 8
The time spent on machine M2 must be less than or equal to 10 hours per day so we get;
3X1 + 2X2 + 5X3 <= 10
The time spent on machine M3 must be less than or equal to 15 hours per day so we get
2X1 + 2X2 + 4X3 <= 15
Thus number of belts produced must be positive:
X1, X2, X3 >= 0
To solve this LPM using the simplex algorithm,
Also the objective function is to minimize the cost, and all constraints are in the form of "less than or equal to" a certain value.
The pivot row is the row that corresponds to the smallest positive ratio between (RHS) value and the corresponding pivot column element the constraint 2X1 + 3X2 ≤ 8.
Now Interpret the shadow prices.
The shadow price of a constraint is the change in the objective function value for a unit change in (RHS) value of the constraint, with all other variables held constant.
Here the value of the constraints in the LPM and how they contribute to the optimal solution.
Learn more about constraints;
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Help me I need to finish this today
Answer:
24 glasses
Step-by-step explanation:
Hannah signs on a $148,500 mortgage at a 4.5% annual interest rate for 20 years. This results in a monthly payment is
$938.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her
balance?
First let's find the amount of interest she paid in month 1, then find the amount toward reducing the balance.
Round to the nearest cent.
Answer:
Interest in one month= 556.88
Her balance is reduced by= 381.6
Step-by-step explanation:
You spin a spinner that is equally divided into 7 parts, and then you spin it again. 1 part is red, 2 parts are white, 3 parts are yellow and 1 part is black.
What is the probability of the spinner stopping on a white section on the first spin and then a red section on the second spin?
Answer:
[tex] \frac{2}{7} \: and \: \frac{1}{7} [/tex]
i don’t need to show work but it would help :)
Answer:
d. (73.9 in^2)
Step-by-step explanation:
I suppose that 9.7 in is the diameter.
R=D/2=9.7/2=4.8in
A=π*(R^2)=3.14*(4.8)^2=73.9 in^2
Write the form of the partial fraction decomposition of the rational expression.
11x - 10/ (x-6)(x+7)
Answer:
x+7x2+3x+2=6x+1+−5x+2
Step-by-step explanation:
Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)
The form of the partial fraction decomposition is
x+7(x+1)(x+2)=Ax+1+Bx+2
Write the right-hand side as a single fraction:
x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)
The denominators are equal, so we require the equality of the numerators:
x+7=(x+1)B+(x+2)A
Expand the right-hand side:
x+7=xA+xB+2A+B
Collect up the like terms:
x+7=x(A+B)+2A+B
The coefficients near the like terms should be equal, so the following system is obtained:
{A+B=12A+B=7
Solving it (for steps, see system of equations calculator), we get that A=6, B=−5
Therefore,
x+7(x+1)(x+2)=6x+1+−5x+2
Answer: x+7x2+3x+2=6x+1+−5x+2
Find which of the following fractions is larger: 51) 2/5,1/3,1/15 A) 2/5 B) 1/3 C) 1/15
52) 3/12,2/6, 1/24 A) 3/12 B) 2/6 C) 1/24
(10x – 2) - (2x - 7)
O 8x + 5
O 12.2 + 5
o 12c - 9
O 83 -9
Answer:
the first one
8x+5
Step-by-step explanation:
10x-2-2x+7= 8x+5
Find two numbers which add to give 0 and multiply to give -16
Answer:
4 and -4
Step-by-step explanation:
Find the value of x.
Answer:
13.8
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html
It gives you everything you need to know about the triangle
Brainliest for correct answer
-6y+15= -27 what is y?
Answer:
y=7
Step-by-step explanation:
-6y= -27-15
-6y= -42
y=7
Answer:
‐6y= ‐27‐15
‐6y= ‐42
y= ‐42/‐6 minus minus sign will be cut
y=7
PLEASE HELP
3/4x - 7 = 3 (1/6x +1)
Solve the linear equation and determine whether it’s one solution or infinite solution or no solution
Answer:
One SolutionStep-by-step explanation:
[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]
[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]
[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]
[tex] = > \frac{3 - 2}{4} x = 10[/tex]
[tex] = > \frac{1}{4} x = 10[/tex]
=> x = 10 × 4
=> x = 40
Here,
The variable x whose only one value 40 will solve the equation.
Hence,
It has only one solution. (Ans)
Jayda is watching a movie that lasts 1 hour and 37 minutes. She has watched 52 minutes so far. How many minutes are left in the movie? *
Answer:
45 minutes
Step-by-step explanation:
97-52 = 45
There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, lemon is 4/32, cherry is 1/8, and grape is 14/64. What is the probability of randomly selecting a piece of the 6th flavor?
The perimeter of any polygon is the?
Choose a right answer :
a) Product of all the sides.
b) sum of the all sides.
c) sum of any two sides.
d) sum of the diagonals.
Answer:
B
Step-by-step explanation:
perimeter is the sum of all sides. it's the distance around the figure.
A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 Liked jazz. If the company estimates sales of 3,000 copies a week at its online store, how many will likely be from the rock genre?* 520 1,500 2,100 1,560
Answer:
3,120
Step-by-step explanation:
Because...............
PLEASE HELP 0ffering MAX POINTS
Answer:
Priya is correct
Step-by-step explanation:
Priya is right because of the plus sign. When its adding you should always subtract from both sides but when you have the subtraction side you have to add to both sides.
Answer:
I think he is right I got that it is priya
Step-by-step explanation:
Determine whether the equation represents direct, joint, or inverse variation. Then identify the constant.
t = 100/s
y/5 = x
p/qr = 4
C = 2πr
V = 1/3πr^2h
xy = 2/5
Can you plz help me by solving the equation and showing how you got the answer
Answer:80
Step-by-step explanation: It is 80
According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in sample size from n = 16 to n = 25 will produce a sampling distribution for the sample means that has a smaller standard deviation. B. The larger the sample size, the more the sampling distribution of sample means will resemble a normal distribution C. The mean of the sampling distribution of sample means for samples of size n = 15 will be the same as the mean of the sampling distribution for samples of size n = 100. D. The mean of a sampling distribution of sample means is equal to the population mean divided by the square root of the sample size. E. The larger the sample size, the more the sampling distribution of sample means resembles the shape of the population.
Answer:
Options A, B and C are correct.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
From the Central Limit Theorem, we have that:
The larger the sample size, the closer to the normal distribution the distribution of sample means is.
No matter the sample size, the mean is the same.
The larger the sample size, the smaller the standard deviation.
The smaller the sample size, the larger the standard deviation.
So the correct options are:
A, B, C
260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys
Answer:
We need a picture of the screen plz
Step-by-step explanation:
What is the value of the following
expression when d=2?
3d + (2.d)-4
Answer:
6
Step-by-step explanation:
I used a calculator and the answer is 6
uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom
Answer:
hello your question is incomplete attached below is the complete question
answer : It would be narrower ( C )
Step-by-step explanation:
When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .
help me please i will give you brainliest
Answer:
its b!
please brainliest
Factor and solve 121r^2-64t^2
Answer:
(11r + 8t)(11r - 8t)
Step-by-step explanation:
difference of two squares
if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?
Answer:
8,000,000
Step-by-step explanation:
This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.
Meaning? Well...
500,000 x 2 = 1,000,000 = 64yrs
1,000,000 x 2 = 2,000,000 = 128yrs
2,000,000 x 2 = 4,000,000 = 192yrs
4,000,000 x 2 = 8,000,000 = 256yrs
This is 4 times.
so every time it's doubled, it means the sum of that number times 2.
If log 7 =0.845, find log (7200).
Answer:
corbet. orbet
Step-by-step explanation:
nsjebfndnjetjjcs
The volume of this rectangular prism is 240 cubic centimeters. What is the surface area?
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself