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Doug Turner Food Processors wishes to introduce a new brand of dog biscuits composed of chicken- and liver-flavored biscuits that meet certain nutritional requirements. The liver- flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B; the chicken- flavored biscuits contain 1 unit of nutrient A and 4 units of nutrient B. According to federal requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new mix. In addition, the company has decided that there can be no more than 15 liver- flavored biscuits in a package. A) formulate this as a linear programming problem, B) solve this problem graphically, giving the optimal values of all variables, and C) What is the total cost of a package of dog biscuits using the optimal mix?
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