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Business

Management

The aim of the objective function should be to (Maximize or Minimize) the objective value.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 107P

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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 12 liver flavored biscuits in a package. It costs 1¢ to make 1 liver flavored biscuit and 2¢ to make 1 chicken flavored. Doug wants to determine the optimal product mix for a package of the biscuits to minimize the firm's cost.

The aim of the objective function should be to (Maximize or Minimize) the objective value.

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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 3 units of nutrient A and 1 unit of nutrient B; the chicken-flavored biscuits contain 3 units of nutrient A and 2 units of nutrient B. According to federal requirements, there must be at least 55 units of nutrient A and 50 units of nutrient B in a package of the new mix. In addition, the company has decided that there can be no more than 20 liver-flavored biscuits in a package. If it costs 3¢ to make 1 liver-flavored biscuit and 2¢ to make 1 chicken-flavored, what is the optimal product mix for a package of the biscuits to minimize the firm’s cost? Formulate this as a linear programming problem (write out the objective function and the constraints including non-negativity constraint). Solve this problem using the corner-point method or the iso-profit/iso-cost line method, giving the…
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 16 liver flavored biscuits in a package. It costs 1¢ to make 1 liver flavored biscuit and 2¢ to make 1 chicken flavored. Doug wants to determine the optimal product mix for a package of the biscuits to minimize the firm's cost. The aim of the objective function should be to Minimize the objective value. The optimum solution is: Number of liver flavored biscuits in a package = nothing (round your response to two decimal places).
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