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Optimize the equation P = 3x + y using the constraints
x ≥ 0, x ≤ 4, y ≥-1 and y ≤ 5.
What is the maximum?

Sagot :

coolstick

Answer:

P = 17

Step-by-step explanation:

let's separate this into x and y components

x component: 3x

as x increases, so does the x component. e.g. 0 * 3 = 0, 4 * 3 = 12. therefore, we want x as high as possible

y component: y

as y increases, so does the y component. this is because the y component is literally just y.

therefore, given these two, to maximize P, we want x and y to be as high as possible

in 0 ≤ x ≤ 4, the maximum of x is 4

in -1 ≤ y ≤ 5, the maximum of y is 5

plug these in to get

3(4) + 5 = 17 as our answer

DragonWinxZ

Answer:

17

Step-by-step explanation:

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