The Fido Dog 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 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. If it costs 1 cent to make a liver-flavored biscuit and 2 cents 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? (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?

MARKETING 2018
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ISBN:9780357033753
Author:Pride
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Chapter12: Developing And Managing Products
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I need answers from A-D.
The Fido Dog 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 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. If it
costs 1 cent to make a liver-flavored biscuit and 2 cents 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?
(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?
Transcribed Image Text:The Fido Dog 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 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. If it costs 1 cent to make a liver-flavored biscuit and 2 cents 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? (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?
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