Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 3.5, Problem 26P
A)
Summary Introduction
Interpretation: formulate linear program
Concept introduction: Linear Programming (LP) is a process to accomplish the best conclusion, such as highest profit or least cost in a Mathematical Model whose necessities are signified by linear relations.
B)
Summary Introduction
Interpretation: determine the cost of the plan and optimal solution.
Concept introduction: Linear Programming (LP) is a process to accomplish the best conclusion, such as highest profit or least cost in a Mathematical Model whose necessities are signified by linear relations.
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Students have asked these similar questions
The distribution of daily demand for party cakes at a bakery is shown in the
following table:
Relative Frequency Demand
0.05
10
0.03
22
0.05
37
0.06
45
0.03
53
0.39
61
0.19
88
0.2
111
Determine the optimal number of cakes to make each day if labour and
material are estimated to cost $26.985 per unit. Cakes are sold for $38.55
per unit, and leftover cakes at the end of the day are sold next day at half
price.
O a. 45
O b. 88
Oc. 61
O d. 111
O e. 53
The distribution of daily demand for party cakes at a bakery is shown in the following table:
Relative Frequency
Demand
0.08
18
0.02
21
0.02
34
0.04
43
0.07
56
0.38
67
0.12
87
0.27
114
Determine the optimal number of cakes to make each day if labour and material are estimated to cost $35.455 per unit. Cakes are sold for $50.65 per unit, and leftover cakes at the end of the day are sold next day at half price.
a. 114
b. 67
c. 87
d. 43
e. 56
Comfort Plus Inc. (CPI) manufactures a standard dining chair used in restaurants. The demand forecasts for quarter 1 (January–March) and quarter 2 (April–June) are 3700 chairs and 4200 chairs, respectively. CPI has a policy of satisfying all demand in the quarter in which it occurs. The chair contains an upholstered seat that can be produced by CPI or purchased from DAP, a subcontractor. DAP currently charges $12.50 per seat, but has announced a new price of $13.75, effective April 1. CPI can produce the seat at a cost of $10.25. CPI can produce up to 3800 seats per quarter. Seats that are produced or purchased in quarter 1 and used to satisfy demand in quarter 2 cost CPI $1.50 each to hold in inventory, but maximum inventory cannot exceed 300 seats.
Define the decision variables needed to model this problem.
Give the objection function.
Write the constraints.
What is the final answer? Explain in detail.
Chapter 3 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.2 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10P
Ch. 3.2 - Prob. 11PCh. 3.2 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.5 - Prob. 26PCh. 3.5 - Prob. 27PCh. 3.6 - Prob. 29PCh. 3.6 - Prob. 30PCh. 3 - Prob. 31APCh. 3 - Prob. 32APCh. 3 - Prob. 33APCh. 3 - Prob. 34APCh. 3 - Prob. 35APCh. 3 - Prob. 36AP
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