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

Step-by-step explanation:

Let x and y represent the quantities of feed type I and feed type II, respectively.

Constraints

  5x +4y ≥ 10 . . . protein requirements

  3x +4y ≥ 8 . . . . fat requirements

  x ≥ 0, y ≥ 0 . . . can't have negative quantities

Objective Function

  Minimize 5x +3y

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The graph shows the solution to be ...

  2.5 bags of Feed Type II will fill the need at minimum cost.

answer: x=60