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 59,000 77,000 60,000 Bindley has three plants that can produce the motors. The plants and production capacities are Boulder Macon 51,000 70,000 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 20 25 SHIPPED TO FORT WORTH 28 10 SAN DIEGO 22 20 MINNEAPOLIS 13 30 Given profit maximization as a criterinn Rindley would like to determine how many motore should ha

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
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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
Boulder
Macon
Gary
Bindley has three plants that can produce the motors. The plants and production capacities are
75,000
59,000
77,000
60,000
51,000
160,000
78,000
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.)
PRODUCED AT NEW YORK CITY
Boulder
20
25
8
SHIPPED TO
FORT WORTH
28
10
Check my work
SAN DIEGO
18
22
20
MINNEAPOLIS
13
30
Given profit maximization as a criterion Rindley would like to determine how many motore should ha
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 Boulder Macon Gary Bindley has three plants that can produce the motors. The plants and production capacities are 75,000 59,000 77,000 60,000 51,000 160,000 78,000 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.) PRODUCED AT NEW YORK CITY Boulder 20 25 8 SHIPPED TO FORT WORTH 28 10 Check my work SAN DIEGO 18 22 20 MINNEAPOLIS 13 30 Given profit maximization as a criterion Rindley would like to determine how many motore should ha
a. Develop a transportation grid for this problem.
New York City Fort Worth
From To
Boulder
Macon
Gary
Requirements
Candidate Solution
Boulder
Macon
Gary
Total supplied
Profit
b. Find the optimal solution using Microsoft Excel. (Leave no cells blank- be certain to enter "0" wherever
required.)
Boulder
Macon
San Diego
Gary
Total profit
Minneapolis
Supply
Total Shipped
Transcribed Image Text:a. Develop a transportation grid for this problem. New York City Fort Worth From To Boulder Macon Gary Requirements Candidate Solution Boulder Macon Gary Total supplied Profit b. Find the optimal solution using Microsoft Excel. (Leave no cells blank- be certain to enter "0" wherever required.) Boulder Macon San Diego Gary Total profit Minneapolis Supply Total Shipped
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