Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Question
Chapter 19, Problem 7P
a)
Summary Introduction
To determine: The range of feasibility for each constraint.
Introduction:
Linear programming:
Linear programming is a mathematical modelling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.
Range of feasibility:
It is the range of the values present in the right hand side quantities of a constraint. The shadow prices and variables attained in the solution will remain the same for the right hand side quantities.
b)
Summary Introduction
To determine: The range of optimality for the coefficients of the objective function.
Introduction:
Linear programming:
Linear programming is a mathematical modelling method where a linear function is maximized or minimized taking into consideration the various constraints present in the problem. It is useful in making quantitative decisions in business planning.
Range of optimality:
It is the range of values at which the coefficient of the objective function of a decision variable will change without changing either the list of the variables in the optimal quantities or the solution.
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IM.82 A distributor of industrial equipment purchases specialized compressors for use in air conditioners. The regular price is $50, however, the manufacturer of this compressor offers quantity discounts per the following discount schedule:
Option Plan Quantity Discount
A 1 - 299 0%
B 300 - 1,199 0.50%
C 1,200+ 1.50%
The distributor pays $56 each time it places an order with the manufacturer. Holding costs are negligible (none) but they do earn 10% annual interest on all cash balances (meaning there will be a financial opportunity cost when they put cash into inventory). Annual demand is expected to be 10,750 units.
When there is no quantity discount (Option Plan A, the first row of the schedule listed above), what is the adjusted order quantity? (Display your answer to the nearest whole number.)
491
Based on your answer to the previous question, and based on the annual demand as stated above, what will be the annual ordering costs? (Display your answer to the…
Chapter 19 Solutions
Operations Management
Ch. 19 - For which decision environment is linear...Ch. 19 - What is meant by the term feasible solution space?...Ch. 19 - Explain the term redundant constraint.Ch. 19 - Prob. 4DRQCh. 19 - Prob. 5DRQCh. 19 - Prob. 6DRQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - A small candy shop is preparing for the holiday...
Ch. 19 - A retired couple supplement their income by making...Ch. 19 - Solve each of these problems by computer and...Ch. 19 - Prob. 7PCh. 19 - For Problem 6b: a. Find the range of feasibility...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - The manager of the deli section of a grocery...Ch. 19 - Prob. 13PCh. 19 - A chocolate maker has contracted to operate a...Ch. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - Prob. 1.1CQCh. 19 - Prob. 1.2CQCh. 19 - Prob. 1.3CQCh. 19 - Prob. 2.1CQCh. 19 - Prob. 2.2CQCh. 19 - Prob. 2.3CQCh. 19 - Prob. 2.4CQ
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