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The Fido Dog Food Company wishes to introduce a new brand of dog biscuits (composed of chicken and liver-flavoured biscuits) that meets certain nutritional requirements. The liver-flavoured biscuits contain 1 unit of nutrient A and 2 units of nutrient B, while the chicken-flavoured ones 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-flavoured biscuits in a package. If it costs 1 cent to make a liver-flavoured biscuit and 2 cents to make a chicken-flavoured one, what is the optimal product mix for a package of the biscuits in order to minimize the firm's cost? (a) Formulate this as a linear programming problem. (b) Find the optimal solution for this problem graphically. (c) Are any constraints redundant? If so, which one or ones? (d) What is the total cost of a package of dog biscuits using the optimal mix?
Why the succession of Ursula burns to the top position at Xerox was considered historic? Why are there so few women and minority CEOs of large corporations? What steps have m
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