Problem 1: (25%) A manufacturer of metal sheets received an order for producing 2000 sheets of size 2'x4 and 1000 sheets of size 4'x7. Two standard sheets are available of sizes 11'x 3000' and 10'x 2000. The engineering staff decided that the following four cutting patterns are suitable for this order. Formulate the problem of meeting the order and minimizing the waste as as a linear program. Patterns from size 11'x3000 Patterns from size 10' x 2000 Pattern 2 2 7 Pattern 4 2 7″ 2″ to search

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