Question

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below? x+2y<_ 10. y<_2. x>_0. y>_0.

Answer 1

the answer is D. 40. I hope this helps!!!!!

Answer 2

The maximum value of P is
`40`

Explanation:

we have the constraints

`x+2y\leq 10` ------> constraint A

`y\leq 2` ------> constraint B

`x\geq 0` ------> constraint C

`y\geq 0` ------> constraint D

`P=4x+2y`

Using a graphing tool

The solution of the constraints is the shaded area in the attached figure

For the point
`(0,0)`

The value of P is equal to

`P=4(0)+2(0)=0`

For the point
`(6,2)`

The value of P is equal to

`P=4(6)+2(2)=28`

For the point
`(0,2)`

The value of P is equal to

`P=4(0)+2(2)=4`

For the point
`(10,0)`

The value of P is equal to

`P=4(10)+2(0)=40`

therefore

The maximum value of P is
`40`