A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work.

Answers

Answer 1

Answer:

200 Software programs = $10,000 profit

225 video games = $7,875 profit


Related Questions

For the function k(x)=-1/16x-8 what is the inverse function of k^-1(x)?

Answers

Answer:

k^-1(x) = -1/128+16x

Domain = ]-infinity,-8[ U ]-8,infinity[

Range = ]-infinity,0[ U ]0,infinity[

Step-by-step explanation:

k(x) = -1/16x = -8

y = -1/16x = -8

x = -1/16y = -8

y = -1/128+16x

k^-1(x) = -1/128+16x

Answer:

D

Step-by-step explanation:

e2021 on god

Simplify these epressions.

Answers

The answer is:
Letter c

Dividing fractions word problems 1 1 A 16-kilometer stretch of road needs repairs. Workers can repair 2- kilometer of road per week. 4 How many weeks will it take to repair this stretch of road? Weeks Stuck? Reviews related articles/videos or use a hint.​

Answers

Answer:

8 weeks

Step-by-step explanation:

16km is the total, 2km is what is completed in a single (1) week.

so our equation is 16÷2

Week 1: 2km

Week 2: 4km

Week 3: 6km

Week 4: 8km

Week 5: 10km

Week 6: 12km

Week 7: 14km

Week 8: 16km (final)

Name three fractions between 1/3 and 1/4

Answers

Answer:

[tex] \frac{2}{7} \\ \\ \frac{5}{16} \\ \\ \frac{7}{24} [/tex]

Please help! If you do so you will get 50 points and brainiest!

Answers

Answer:

1

Step-by-step explanation:

Answer: 1

Explanation: 0v0

There are 26 red cards and 26 black cards in a standard deck of playing cards, for a total of 52 cards. There are 4 kings to a deck, two of which are red kings and two of which are black kings. A card will be randomly selected from a standard deck of playing cards. Let A represent selecting a king and let B represent selecting a red card. Calculate the following probabilities:

P (A) =



P (A ׀ B) =



Based on these probabilities, are A and B independent events? Explain your reasoning.

Answers

It would b a just because

Ted has 18 feet of lumber. How many 2 1/2 foot shelves can he make? Explain your answer.

Answers

Answer:

The answer is 7.2, and if you round it, it would be 7.

g(x)=(x-2)^2 + 1
Explain the transformation

Answers

Answer: The graph of g(x) will be shifted 2 units left and 1 unit down compared to the parabola, f(x).

Step-by-step explanation:

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram?

Answers

Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is  75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

=  [tex]\frac{4.5}{750}[/tex]

= 0.006$

In 1 gram of rice he spend 0.006$

If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true

That makes 0.006$ is the right answer.

Hope that help :)

Write the prime factorization of 128. Use exponents when appropriate and order the factors from least to greatest

Answers

128 = 2^7

There are just seven 2's being multiplied to get to 128,

We know that the factors of 128 are :  1, 2, 4, 8, 16, 32, 64, and 128 itself.

But we need a prime factorization, and so [tex]2^{7}[/tex] is the prime factorization of that number

there were 8 gallons of juice for the third grade picnic.How many gallons of juice were there for each of the third grade classes???? please help with my hw!!!

Answers

8 gallons divided by amount of third grade classes is how you'll get your answer

Write each equation in slope intercept form. underline the slope and circle the y intercept in each equation 5x + 3y = 30

Answers

Answer:

y=-5/3x+10

Step-by-step explanation:

slope is -5/3 and the y int. is 10. Hope this helps!

If y varies directly with X,
Y
and y= 4.5 when x= 2.5,
what is y when x= 12?
Y

Answers

Answer:

y=1.8x

Step-by-step explanation:

Damon skateboards from his house to school 4 miles away. It takes him 20 minutes to get to school.


How many minutes will it take Damon to skateboard to his friend Stefan's house, which is 2 1/2 miles from school, if he travels at the same rate that he did from his house to school.

Answers

Answer:

about 12 1/2 minutes

each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5

Answer:  12.5 minutes

======================================================

Work Shown:

20 min = 20/60 = 1/3 of an hour

distance = rate*time

d = r*t

4 mi = (x mph)*(1/3 hr)

4 = x*(1/3)

4*3 = x

x = 12 mph

Damon's speed is 12 mph

--------------

Now calculate the time it takes go travel to his friends house.

d = r*t

2.5 = 12*t

t = (2.5)/12

t = 25/120

t = (5*5)/(5*24)

t = 5/24

He takes 5/24 of an hour to go from school to Stefan's house.

Multiply by 60 to convert to minutes

(5/24)*60 = 12.5 minutes

Consider the following data set:

2 , − 3 , − 3 , 1 , 8 , 12 , 14 , 2

Find the lower quartile.

Answers

Answer:

-3, -3, 1, 2, | 2, 8, 12, 14

Lower quartile is negative 1

Because the middle number is the median because there is an odd set of numbers.

To find the quartile you have to arrange the numbers from lowest to highest.

When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped

What is the measure of ∠ABC?

Answers

Answer:

not sure

Step-by-step explanation:

I'm not sure how to do this guys I am very sorry for the inconvenience

Step-by-step explanation:

brother or sister whoever you are, please try to post the full question.

Solve for the indicated variable. Include all of your work in your answer. Submit your solution.

Answers

Answer:

[tex]h = \frac{2a}{a + b} [/tex]

What is the x-intercept of the line 2x -3y = -6?

Answers

Given, \[ - 2x + 3y = 6\]. \[ \Rightarrow x = - 3\]. Thus 'x' intercept is \[ - 3\].

Answer:

The x-int is 3/2y - 3 (x=3/2y-3)

Step-by-step explanation:

2x-3y=-6

2x=3y-6

x=3/2y-3

Find the equation (in terms of x) of the line through the points (-2,4) and (2,0)
y =

Answers

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )

m = [tex]\frac{0-4}{2-(-2)}[/tex] = [tex]\frac{-4}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , then

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 0 )

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

The answer you are looking for is y=-x+2

6 Ella is a salesperson for a cosmetics company. She is paid $500 per week and a commission of 3% on sales in excess of $800.
What does Ella earn in a week in which she makes sales of $600?

Answers

The total amount that Ella earned in a week in which she made sales of $600 is; $500

How to solve Algebra Word problems?

The parameters given about Ella who is a salesperson are;

Amount paid per week = $500

Commission on sales exceeding $800 = 3%

Total sales for the week = $600

From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.

Therefore her weekly pay was still $500

Read more about Algebra Word Problems at; https://brainly.com/question/21405634

#SPJ1

Will give brainiest to correct answer

Answers

Answer:

8 x 4 = 5 fours + 3 fours

= 20 + 12

= 32

Hope This Helps! •v•

Which congruent angles can prove that
lines Land M are parallel?

A. 2 and 7
B. 5 and 8
C. 4 and 6

Answers

Answer:

C 4 and 6

Step-by-step explanation:

Because 4 and 6 are coointerior

If j= 14, find the value of 1/2j.

Answers

Answer:7

Step-by-step explanation:

1/2 of j is the same as j ÷ 2

14 ÷ 2 = 7

Write an equation in Point-Slope form for a line that passes through the points (-10,8) & (-20,-12)

surprise i need help again

Answers

the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.

-1.5x – 2x - 12(x + 10)

Answers

Answer:

-15.5x-120

Step-by-step explanation:

-1.5x-2x-12(x+10)=-1.5x-2x-12x-120

=-15.5x-120

Answer:

-3.5x - 12(x + 10)

-3.5x - 12x - 120

-15.5x - 120

Step-by-step explanation:

brainliest plz

Find all possible values of P in x^2-10x+P=(x-A)(x-B) if P, A and B are all whole numbers

Answers

The value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25

Given the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex]

To get the value of P, we will use the completing the square method;

Add the square of the half of the coefficient of x

The coefficient of x is -10Half of the coefficient of x is -10/2 = 5Square of half of the coefficient of x = 5^2 = 25

Hence the complete quadratic expression will be [tex]x^2-10x + 25[/tex]

Hence the value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25

Learn more here: https://brainly.com/question/13981588

Given f(x) = -x + 5, solve for 2 when f(x) = -10.

Answers

Answer:

15

Step-by-step explanation:

replace x with -10

A line that includes the points (-5, 7) and (g, -6) has a slope of -1. What is the value of g?

Answers

Answer:

g = 8

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

-1 = (-6 -7) / (g +5)

-1= -13/x + 5

-1(x+5)= -13

-x - 5 = -13

-x = -8

x = 8

Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what are the domain and range in the context of this problem?

Answers

Refer to the attachment

Please someone help me with this im giving brainliest!!

Answers

Answer:

A) Second step

would be the answer

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