A company makes a profit of 35$ per video game. The company can produce at most 200 software programs and at most 300 video games 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:

Let x = software program

Let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225

50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300

50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250

50(175)  + 35(250) = 8,750 + 8,750 = 17,500

It is more profitable to maximize production of software program when working within the limits provided.

Step-by-step explanation:


Related Questions

A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)

Answers

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =

Answers

Answer:

r²(9r-1)

Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

6r³ + 3r³ - r²

= 9r³ - r²

factorize by divide each by r²

= r²(9r - 1)

Divide. 1/3 ÷ 4/5 Express your answer in simplest form. Enter your answer in the box.

Answers

1/3 divided by 4/5 = 5/12


In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.

Answers

Answer:

May I ask why you are you doing this math in college?

Step-by-step explanation:

1/5(x)( 5/1)=6/3(5/1) What is the value of the x?

Answers

Answer:

The value of x would be 10. I hope this helped :)

Answer:

10

Step-by-step explanation:

on the left side 1/5 and 5/1 time each other is 1. Which means the x is already alone. On the right 6/3 times 5/1 is 10. So x = 10.

5(-42/-7) + (-15) - (-3)​

Answers

Answer:

2058

Step-by-step explanation:

Solve all these to be marked the brainlest

Answers

5. A^2 = 91
6. A = 12.2

How do you know that 8 thousandths is less than 1 hundredth

Answers

Because the hundredths is between 10-99 and thousandths is between 100-999

Expanded form of 7050024

Answers

Expanded Notation Form:

 7,000,000  

+ 0  

+ 50,000  

+ 0  

+ 0  

+ 20  

+ 4  

Expanded Factors Form:

 7 × 1,000,000  

+ 0 × 100,000  

+ 5 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 2 × 10  

+ 4 × 1  

Expanded Exponential Form:

7 × 106

+ 0 × 105

+ 5 × 104

+ 0 × 103

+ 0 × 102

+ 2 × 101

+ 4 × 100

Hope this helps? :))

Answer:7,00,000 50,000 20 4n

Step-by-step explanation:

The school shop ordered 20 boxes of snacks and there were 89 snacks in each box. If 15 snacks were sold from each box, how many were left?

Answers

Answer:

1,480

Step-by-step explanation:

89x20=1,780 total snacks

20x15=300 snacks sold

1,780-300=1,480 snacks left

7x 3/4 qeqeqeqeqeqeqeqeqeqe

Answers

Answer:

5.25

Step-by-step explanation:

1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x​

Answers

D. y=mx+b. m being slope and b being the y intercept. so the equation for the line is y=3x+2 and to be parallel your m must be the same number so D. 3x

What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)

Answers

Answer:

focus | (2, 7)

vertex | (2, 6)

semi-axis length | 1

focal parameter | 2

eccentricity | 1

directrix | y = 5

Step-by-step explanation:

13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.​

Answers

Answer:

CP of ring = 1200

profit % = 15%

Profit amount = 15% 0f 1200 = 180

SP = 1200 + 180 = 1380

Answer:

€ 1380

Step-by-step explanation:

The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,

[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]

he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).

So, the selling price (the new price of the ring) would be:

= Original price + profit

= €1200 + €180

= €1380

7 x [{9+8)-(12-7)] answer

Answers

Answer:

84

Step-by-step explanation:

7×[17-5]

7×12

84

hope it will help

What is equivalent to
5[4 + 3(x – 6)]?

Answers

Answer:

odk

Step-by-step explanation:

Solve for x : 3xyz= P

Answers

Answer:

x = P/yz

Step-by-step explanation:

You just divide the left side by yz

Which equations are related equations to x + 5 = 34. Select each correct answer. A. X = 34 - 5 B. 5 = 34 - x C. X + 34 = 5 D. X = 34 + 5

Answers

A because is adding then subtracting then diving but last of all multiple times).))/)/)/)

Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?

Answers

Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

Answer: A

Step-by-step explanation: line one should have a y-intercept at (0,2).

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

Answers

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

If UV = 5, VW = 4x − 1, and UW = 5x + 2, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you type in step by step so I could understand it too?

Answers

Answer:

12

Step-by-step explanation:

UV + VW = UW

[tex]5+(4x-1)=5x+2[/tex]

Remove brackets:

[tex]5+4x-1=5x+2[/tex]

Solve [tex]5-1=4:[/tex]

[tex]4x+4=5x+2[/tex]

Subtract 4 from both sides:

[tex]4x+4-4=5x+2-4[/tex]

[tex]4x=5x-2[/tex]

Subtract 5x from both sides:

[tex]4x-5x=5x-2-5x[/tex]

[tex]-x=-2[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]

[tex]x=2[/tex]

[tex]UW=5x+2=5(2)+2=10+2=12[/tex]

Find the range of the given data set.

-4, -3, -1, -1, 0, 1

Answers

Answer:

5

Step-by-step explanation:

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

4x(10-3+2) simplify expression

Answers

Answer:

20

Step-by-step explanation:

the answer is 20 use pemdas (parenthesis,exponents,multiplication,divide,add,subtract)

Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11

Answers

I believe it should be 0.5 x 7 as that is in a bracket and you have to deal with the bracket first before dealing with numbers outside the bracket.

Answer:

0.5 x 7

Step-by-step explanation:

hope this helps

Find two decimals that are equivalent to (4x10)+(7x1/100)

Answers

Answer:

4.700 and 4.70

Step-by-step explanation:

step one:

Since the number is basically a representation of numbers to the powers of 10,  that is the place value of each digit corresponds to the power of 10

step two:

now given the expression

(4x10)+(7x1/100)

this can be written as

4.700

and this Could also be equivalent to

4.70 and 4.7 since

 The difference between the product of four and a number and six

Into algebraic expression

Answers

answer- 4x-6
explain- i got it right

Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000

Answers

Answer:

Step-by-step explanation:

i think this is the answer

576.628

Answer:

[tex]\frac{72776}{125}[/tex]

Step-by-step explanation:

500+76+6+1/5+1/125

500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125

62500+9500+750+25+1/125

[tex]\frac{72776}{125}[/tex]

or 582.208

or

[tex]582 \frac{26}{125}[/tex]

Which equation represents the data shown in the table below? x y 2 9 3 12 4 15 5 18 A. y = 2x + 9 B. y = 3x + 3 C. y = 3x + 12 D. y = 4x + 1

Answers

Answer:

Step-by-step explanation:

The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The data best fit the line y = 3x+3, the correct option is B.

What is an Equation?

The equation is a statement that equates two algebraic expressions with an equal sign.

The data is given

x   y

2    9

3    12

4    15

5    18

The equation that represents the data can be found by substituting the data and checking if they satisfy the equation.

The first equation is

y = 2x +9

Substitute ( 2,9)

9 = 2 *2 +9

9 ≠ 13

The second equation is

y = 3x +3

Substitute ( 2,9)

y = 3 *2 +3

9 = 9

Substitute ( 3,12)

12 = 3 *3 +3

12 = 12

Therefore, the data best fit the line y = 3x+3, the correct option is B.

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

9. Which of the following is NOT written in scientific notation? O 32.78103 O 1.272103 4.7x103 3.75x10​

Answers

Answer:

32.78103

Step-by-step explanation:

as far as I know it would be 3.278103 times whatever

Answer:

the answer is 32.78103

Step-by-step explanation:

Scientific notation is when the number is more than 1 but less than 10 and the 32 is more than 10.

I need help. Three different polygons in this shape and explain how I know? Help please thanks!

Answers

Answer:

why it say least

Step-by-step explanation:

as the first word

Well, it's a square, a rhombus and a rectangle.

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.

A rhombus is a quadrilateral whose four sides all have the same length.

Hope I helped :)

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