State the linear programming problem in mathematical terms, identifying the objective function and the constraints.A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 5 protein and 3 fat units at $5/bag. Feed type II provides 4 protein and 4 fat units at $3/bag. Which mixture fills the needs at minimum cost?
A. Minimize 5x + 3y
Subject to: 5x + 4y ? 8
3x + 4y ? 10
x, y ? 0.
B. Minimize 5x + 3y
Subject to: 5x + 4y ? 8
3x + 4y ? 10
x, y ? 0.
C. Minimize 5x + 3y
Subject to: 5x + 4y ? 10
3x + 4y ? 8
x, y ? 0.
D. Minimize 3x + 5y
Subject to: 5x + 3y ? 10
4x + 4y ? 8
x, y ? 0.
Answer: C
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A.
B.
C.
D.
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A. Maximum: 1 at minimum: -1 at
B. Maximum: 8 at minimum: -8 at
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