What is the total cost of a package of dog biscuits

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A local Food Company wishes to introduce a new brand of dog biscuits (composed of chicken and liver-flavored biscuits) that meets certain nutritional requirements. The liver-flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, while the chicken-flavored ones contain 1 unit of nutrient A and 4 units of nutrient B. According to government requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new biscuit mix. In addition, the company has decided that there can be no more than 15 liver-flavored biscuits in a package. If it costs R1 to make a liver-flavored biscuit and R2 to make a chicken-flavored one, what is the optimal product mix for a package of the biscuits in order to minimize the firm's cost?

1) Formulate this as a linear programming problem.

2) Find the optimal solution for this problem graphically.

3) What is the total cost of a package of dog biscuits using the optimal mix?

Reference no: EM132630151

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