Question

7. Maximize

subject to
P = 5x₁ + 10x₂
x₁ + x₂ <= 3
2 x₁, + 3 x₂>=12
X1, X₂>=0

Answer 1

Explanation:

find the point of intersection of each line with x-axis(y or x2=0) and y-axis (x or x1=0)

find also the point of intersection of two lines .

Find P at (0,0) and other three points found above and find maximum P.