Bindley Corporation has a one-year contract to supply motors for all washing machines produced by Rinso Ltd. Rinso manufactures the washers at four locations around the country: New York City. Fort Worth, San Diego, and Minneapolis. Plans call for the following numbers of washing machines to be produced at each location: New York City Fort Worth San Diego Minneapolis 75,000 45,000 60,000 se,eee Bindley has three plants that can produce the motors. The plants and production capacities are Boulder Macon Gary 100,000 145,000 65,000 Due to varying production and transportation costs, the profit Bindley earns on each 1,000 units depends on where they were produced and where they were shipped. The following table gives the accounting department estimates of the dollar profit per unit. (Shipment will be made in lots of 1,000.) SHTRRED TO

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Bindley Corporation has a one-year contract to supply motors for all washing machines produced by Rinso Ltd. Rinso manufactures the
washers at four locations around the country. New York City, Fort Worth, San Diego, and Minneapolis. Plans call for the following
numbers of washing machines to be produced at each location:
New York City
Fort Worth
San Diego
Minneapolis
Bindley has three plants that can produce the motors. The plants and production capacities are
Boulder
Macon
Gary
Due to varying production and transportation costs, the profit Bindley earns on each 1,000 units depends on where they were
produced and where they were shipped. The following table gives the accounting department estimates of the dollar profit per unit.
(Shipment will be made in lots of 1,000.)
Macon
Gary
PRODUCED AT NEW YORK CITY
Boulder
12
From/To
Boulder
Macon
Gary
Requirements
75,000
45,000
60,000
50,000
100,000
145,000
65,000
Candidate Solution
Boulder
Macon
Gary
Total supplied
Profit
24
11
Boulder
Macon
Gary
Total profit
Given profit maximization as a criterion, Bindley would like to determine how many motors should be produced at each plant and
how many motors should be shipped from each plant to each destination.
a. Develop a transportation grid for this problem.
New York City
0
45,000
0
75,000
SHIPPED TO
FORT WORTH
15
24
13
Fort Worth
45,000
40,000
0
45,000
SAN DIEGO
20
24
26
MINNEAPOLIS
16
San Diego Minneapolis
0
80,000
15,000
60,000
0
0
10
32
50,000
50,000
b. Find the optimal solution using Microsoft Excel. (Leave no cells blank - be certain to enter "0" wherever required.)
Supply
100,000
145,000
65,000
Total Shipped
Transcribed Image Text:Bindley Corporation has a one-year contract to supply motors for all washing machines produced by Rinso Ltd. Rinso manufactures the washers at four locations around the country. New York City, Fort Worth, San Diego, and Minneapolis. Plans call for the following numbers of washing machines to be produced at each location: New York City Fort Worth San Diego Minneapolis Bindley has three plants that can produce the motors. The plants and production capacities are Boulder Macon Gary Due to varying production and transportation costs, the profit Bindley earns on each 1,000 units depends on where they were produced and where they were shipped. The following table gives the accounting department estimates of the dollar profit per unit. (Shipment will be made in lots of 1,000.) Macon Gary PRODUCED AT NEW YORK CITY Boulder 12 From/To Boulder Macon Gary Requirements 75,000 45,000 60,000 50,000 100,000 145,000 65,000 Candidate Solution Boulder Macon Gary Total supplied Profit 24 11 Boulder Macon Gary Total profit Given profit maximization as a criterion, Bindley would like to determine how many motors should be produced at each plant and how many motors should be shipped from each plant to each destination. a. Develop a transportation grid for this problem. New York City 0 45,000 0 75,000 SHIPPED TO FORT WORTH 15 24 13 Fort Worth 45,000 40,000 0 45,000 SAN DIEGO 20 24 26 MINNEAPOLIS 16 San Diego Minneapolis 0 80,000 15,000 60,000 0 0 10 32 50,000 50,000 b. Find the optimal solution using Microsoft Excel. (Leave no cells blank - be certain to enter "0" wherever required.) Supply 100,000 145,000 65,000 Total Shipped
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