minimize cost
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Three foods are to be manufactured, A, B, C. Their protein vitamins and calories contents, minimum requirements and price are shown below.
A B C Minimum Requirement
Protein 2 2 0 20
Vitamins 1 0 1 15
Calories 1 1 1 20
Cost/unit $22 $33 $11
How much of A, B, C must be produce to minimize cost?
*please explain well how you get the answer, thanks*
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Solution Summary
The ways to minimize cost are addressed using the simplex method.
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Three foods are to be manufactured, A, B, C. Their protein vitamins and calories contents, minimum requirements and price are shown below.
A B C Minimum Requirement
Protein 2 2 0 20
Vitamins 1 0 1 15
Calories 1 1 1 20
Cost/unit $22 $33 $11
How much of A, B, C must be produce to minimize cost?
Solution:
Let the units of foods A, B and be a, b and c respectively.
The equations will be
2a + 2b ≥ 20
a + c ≥ 15
a + b + c ≥ ...
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