Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter D, Problem 4P
Summary Introduction
Interpretation: To estimate the minimum amount of operators with the needed demand requirements
Concept Introduction: one kind of problem in linear programming is
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Fairway Inc. makes custom golf clubs. They are manufactured in 3 plants in Denver, Phoenix, and Dallas. They are then shipped to distribution centers in Sacramento, Salt Lake, Chicago, Albuquerque, and New York. Since shipping costs are a major expense, management requires an analysis to determine the optimal shipping routes and quantities shipped along those routes. Each plant has a maximum production capacity and each distribution center has a demand that must be satisfied. You must determine how many clubs to send along each route, staying within plant capacity, meeting demand, for the lowest total shipping cost.
Shipping Costs per route
Plants
Sacramento
Salt Lake
Chicago
Albeq
New York
Capacity
Denver
$10
$8
$6
$5
$4
310
Phoenix
$6
$5
$4
$3
$6
260
Dallas
$3
$4
$5
$5
$9
280
Demand
180
80
200
160
220
Number to ship from plant to warehouse:
Plants
Sacramento
Salt Lake
Chicago
Albeq
New York
Total Shipped
Denver
Phoenix…
Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here.
The cost of producing Q1 chairs at Aynor is: 75Q1 + 5Q1^2 + 100
and the cost of producing Q2 kitchen chairs at Spartanburg is 25Q2 + 2.5Q2/2 + 150
Andalus needs to manufacture a total of 40 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost?
Can you please use Excel to formulate and Solver to solve?
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The Detroit and Los Angeles facilities can produce 350 skateboards per week, but the Austin plant is larger and can produce up to 700 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at most 500 skateboards per week.
Factory/DCs
Shipping Costs ($ per skateboard)
Iowa 4
Maryland 5
Idaho 6
Arkansas 7
Detroit 1
25.00
25.00
35.00
40.00
Los Angeles 2
35.00
45.00
35.00
42.50
Austin 3
40.00
40.00
42.50
32.50
Skateboards are then shipped from the distribution centers to retailers. Sports of All Sorts supplies three major U.S. retailers: Just Sports, Sports 'N Stuff,…
Chapter D Solutions
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
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