Question

Find the max value of c=5x+4y

subject to the following constraints

x≤−2
x≥−4
y≥1
y≤6

Answer 1

You should be able to find the maximum value of c by simply substituting the maximum values for x and y.

So we'll let x = -2 and y = 6.

The equation is is now as follows:

c = 5(-2) + 4(6)

c = -10 + 24

c = 14

Therefore the maximum value for c is 14.