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1) Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if...
1)
Minimize C = 15x + 45y
Subject to
2x + 5y ≥ 20
x ≥ 0,
y ≥ 0
C
Maximize
P = 15x + 9y
Subject to:
2x + y ≤ 90
x + y ≤ 50
x + 2y ≤ 90
x ≥ 0, y ≥ 0
P
Maximize
P = 50x + 60y Subject to
2x + y ≤ 16
x + y ≤ 10
x ≥ 0, y ≥ 0
P =