(6) A frozen vegetable supplier makes two brands of mixed vegetables. Brand A co

Question

(6) A frozen vegetable supplier makes two brands of mixed vegetables. Brand A contains 20% beans, 25% carrots, 25% peas and 30% sweet corn and yields a profit of $5 per kilo sold. Brand B contains 20% beans, 42% carrots, 28% peas and 10% sweet corn and sells giving a profit of S3 per kilo. Today, the supplier has available 120 kilos of beans, 160 kilos of carrots, 250 kilos of peas, and 166 kilos of sweet corn. Using Solver, he found that today he should produce 531.88 kilos of brand A and 64.36 kilos of brand B to maximize the profit.

Explanation / Answer

d)

Since the allowable decrease of profit for brand A is 5-3.21, and 4.2 is within the range, the optimal solution does not change.

Maximum profits is

4.2*531.88+3*64.36 = 2426.976

e)

Resources (beans, carrots, peas,sweet corn ) should lie between allowable increase and allowable decrease.

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