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

subject to the following constraints

x≤-2

x≥-4

y≥1

y≤6

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.