Question

100 Points!!! Algebra question, multiple choice. Only looking for an answer to #8. Find the maximum value of f(x,y)=3x+y for the feasible region. Photo attached. Thank you!

Answer 1

+4

Explanation:

F(x,y) = 3x+y and y <= -2x+ 4 sub in for 'y'

= 3x + (-2x+4)

= x + 4

If you look at the graph for y <= - 2x+4 ( see below)

you will see that the domain (x values ) can only go from 0 to 4 and the max value is +4 ( rememeber too that y is restricted to >= 0 as is x )