Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Question
Chapter B, Problem 27P
a)
Summary Introduction
To formulate: The given information as a linear programming problem.
Introduction:
Linear programming:
It is a linear optimization technique followed to develop the best outcome for the linear programming problem. The outcome might be to maximize profit, minimize cost, or to determine the optimal product mix. The outcome will take the constraints present in achieving the solution into consideration.
b)
Summary Introduction
To solve: The linear programming problem graphically.
c)
Summary Introduction
To determine: The total cost of a package of the dog biscuits.
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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 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.
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).
Chapter B Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 9PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 13PCh. B - Prob. 14PCh. B - Prob. 22PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - Prob. 30PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 37PCh. B - Prob. 38PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 40PCh. B - Prob. 41PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Prob. 1.1VCCh. B - Prob. 1.2VCCh. B - Prob. 1.3VCCh. B - Prob. 1.4VC
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