WB is a food processing plant that makes hot dogs and bread for hot dogs. They grind their own flour, at most they can grind 300 pounds a week. Each loaf requires 0.1 pounds and 0.02 each hotdog. They have a contract with PL, Inc., which specifies the delivery of 800 pounds of pork products every Monday. Each hotdog requires 1/4 pound of pork product. There is sufficient quantity of the rest of the ingredients of both products. Finally, the workforce consists of 5 full-time employees (40 hours per week). Each hotdog requires 3 minutes of work and each bread 2 minutes of this input. Each hotdog provides a profit of $ 0.80 and each bread $ 0.30. WB wants to know how many hotdogs and how many loaves to produce each week to achieve the highest possible profit. Formulate a linear programming model for this problem.
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