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)

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)

anonymous · Answer

Start off with plugging in a few values of x and y that make it greater-than or equal-to 24.  Then, increase each and try different combinations to find the maximum.

....or construct a 3D plot and find the max. values of the intersection of the planes 9x+9y = zand x+2y = z.