Question

A computer manufacturer makes a standard model and a gaming model. Each standard computer requires 2 labor-hours from the assembly department and 5 labor-hours from the programming department. Each gaming computer requires 4 labor-hours from the assembly department and 5 labor-hours from the programming department. The maximum labor-hours available per day in the assembly department and the programming department are 48 and 80, respectively.

The company makes a profit of $410 on each standard computer and $710 on each gaming computer.

Let x = standard computer
Let y = gaming computer

Answer 1

Then, 2x + 4y < 48
and 5x + 5y < 80.

The graph of these functions is shown to the right. Since a negative number of computers cannot be produced, both x and y have to be greater than zero.

Profit function:
P = $410x + $710y
What is the maximum potential profit for computer sales?
A. $8,520
B. $6,560
C. $11,360
D. $8,960

Answer 2

are you still looking for help?

Answer 3

yes please

Answer 4

okay i took a look and your equations
Then, 2x + 4y < 48
and 5x + 5y < 80
don't make sense

Answer 5

@MarthaHearst is this the question?

Answer 6

ahhhhhhh i see now what you did. okay

Answer 7

@Princer_Jones yes

Answer 8

wasn't paying attention to the values you were using XD you did it right

Answer 9

so what is the question???

Answer 10

What is the maximum potential profit for computer sales?
A. $8,520
B. $6,560
C. $11,360
D. $8,960

Answer 11

ok i saw the complete question now...

Answer 12

@camper4834 would it be c?

Answer 13

wrapping my head around the concept

Answer 14

@MarthaHearst do you know lpp? hmm the maximum profit is obtained at any one of the extreme points of the graph

Answer 15

@Princer_Jones I didnt know that

Answer 16

but now you have to make an equation with the limits

Answer 17

which is a 3d graph

Answer 18

okay it is more productive to work on gaming computers

Answer 19

How do i make equation as you say

Answer 20

i didn't i made an assumption

Answer 21

i don't know if i CAN make an equation

Answer 22

but i do know that if i it takes my programming department 5 hours per computer and 5 hours per gaming computer i would rather have them working on the gaming computer

Answer 23

@MarthaHearst the purle colour region contains your solution. the exreme points are (0,0),(0,12),(8,8) and (16,0). put these values in the profit equation and see that the maximum profit is 8960

Answer 24

dang princer is right

Answer 25

merci :) i comprehend

Answer 26

makes a lot of sense at 0,0 some of the hours are left open by one department. at 8, 8 everyone works the full amount of hours

Answer 27

yes it does

Answer 28

@MarthaHearst if you know lpp, there is a method known as simplex method, you can solve very easily if you know that

Answer 29

what is lpp?

Answer 30

linear programming problem.

Answer 31

@MarthaHearst