Assignment:
The Quick Mix Boxer Food Company wishes to introduce a package of dog treats which contains two new flavors of dog biscuits; liver and chicken which must meet certain nutritional requirements.
The liver flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, while 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 at least 60 units of nutrient B in a package of the new mix. In addition, the company had decided that there will be no more than 15 liver flavored biscuits in a package. It costs 1 cent to make a liver flavored biscuit and 2 cents to make a chicken flavored biscuit. What is the minimum cost of a package of dog treats using the optimal product mix?
80 cents
70 cents
65 cents
30 cents
40 cents
Provide complete and step by step solution for the question and show calculations and use formulas.