A manufacturer buys peas for vegetable pies from 2 cooperatives. The price per p

Question

A manufacturer buys peas for vegetable pies from 2 cooperatives. The price per pound is $6 from cooperative, and $5.50 per pound from cooperative B. Develop an objective function that would minimize the total cost. Use X1 = number of pounds to buy from cooperative A and X2 = number of pounds to buy from cooperative B. The manufacturer needs at least 12,000 pounds of peas. Cooperative A can supply up to 8,000 pounds, and cooperative B can supply at least 6,000 pounds. Develop three separate constraints for these requirements.

Explanation / Answer

Given

X1 = number of pounds to buy from cooperative A

X2 = number of pounds to buy from cooperative B

Constraints:

X1+X2 >= 12000 ( The manufacturer needs at least 12,000 pounds of peas)

X1<=8000 ( Cooperative A can supply up to 8,000 pounds)

X2>=6000 (cooperative B can supply at least 6,000 pounds)

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