Question

maximize P=9x+9y Subject to 2x+y is less than or equal to 30 x+2y is less than or equal to 24 x, y is greater than 0 What is the maximum value of P? (integer or fraction)

Answer 1

I don't really know

Explanation:

Answer 2

Find the intersection point between the 2 restraint equations:

`30 - 2x = 12 - (1)/(2) x \\ (3)/(2) x = 18 \\ x = 12`

Substitute back in to find y-value:

`y = 30 - 2(12) = 6`

P is maximized at point (12,6)

`P = 9(12)+9(6) = 162`