What is the maximum value of P=4x+2y given the constraints on x and y listed below

Question

X+2y is less than or equal to 10

y is less than or equal to 2

x is greater than or equal to 0

y is greater than or equal to 0

Answer 1

the vertices of the region bounded by these functions are:

(0,0)

(0,2)

(6,2)

(10,2)

Plugging these into the objective function:

(0,0) --> 0

(0.2) ---> 4

(6,2) ---> 6(6) + 2(2) = 36+4 = 40

(10,2) ---> 4(10) + 2(2) = 40 + 4 = 44