Question

Use graphical methods to solve the linear programming problem.

2x + 6y ≥ 30.
4x + 2y ≥ 20.
x ≥ 0.
y ≥ 0.
Minimize P = 0.18x + 0.12y

A. Minimum of 1.86 when x = 9 and y = 2

B. Minimum of 1.08 when x = 4 and y = 3

C. Minimum of 1.02 when x = 3 and y = 4

D. Minimum of 1.2 when x = 4 and y = 4

Answer 1

You should graph on the same coordinate axes:

y = 5 - x/3

y = 10 - 2x

This will give you a good start.

(Where did those come from?)