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Farmer Giles grows soybeans and corn on his 45-acre farm. He can sell at most 140 bushels of soybeans and 120 bushels of corn. Each acre planted with soybeans yields 5 bushels and each acre planted with corn yields 4 bushels. Soybeans sell for $30 per bushel and corn sells for $50 per bushel. To harvest an acre of soybeans requires 6 hours of labour, whereas 10 hours of labour are required to harvest an acre of corn. Up to 450 hours of labour can be purchased at $12 per hour.
Formulate an LP that can be used to maximize Farmer Giles’ profits.
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The roasted turkey and bacon ciabatta is a very popular item. If the raw food cost of this item is 2.15, is the selling price for cash costumers within the desired food cost percentage range?
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