The Elastic Firm has two products coming on the market, Zigs and Zags.To make a Zig, the firm needs 10 units of product A and 15 units of product B.To make a Zag, they need 20 units of product A and 15 units of product B.There are only 2,000 units of product A and 3,000 units of product B available to the firm.The profit on a Zig is $4 and on a Zag it is $6.Management objectives in order of their priority are:
(1)Produce at least 40 Zags.
(2)Achieve a target profit of at least $750.
(3)Use all of the product A available.
(4)Use all of the product B available.
(5)Avoid the requirement for more product A.
Formulate this as a goal programming problem.
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