60. Ford has four automobile plants. Each is capable of producing the Focus, Mustang, or Taurus, but it can produce only one of these cars. The fixed cost of operating each plant for a year and the variable cost of producing a car of each type at each plant are given in the file P06_60.xlsx. Ford faces the following restrictions: · Each plant can produce only one type of car. 1 The total production of each type of car must be at a single plant. For example, if any Mustangs are made at plant 1, then all Mustangs must be made there. · Each year, Ford must produce five million of each type of car. a. Determine how to minimize the annual cost of

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Question: Make a formula to determine how to minimize the annual cost of producing these cars 

60. Ford has four automobile plants. Each is capable
of producing the Focus, Mustang, or Taurus, but it
can produce only one of these cars. The fixed cost
of operating each plant for a year and the variable
cost of producing a car of each type at each plant
are given in the file P06_60.xlsx. Ford faces the
following restrictions:
· Each plant can produce only one type of car.
1 The total production of each type of car must be at
a single plant. For example, if any Mustangs are made
at plant 1, then all Mustangs must be made there.
1 Each year, Ford must produce five million of each
type of car.
a. Determine how to minimize the annual cost of
producing these cars.
Transcribed Image Text:60. Ford has four automobile plants. Each is capable of producing the Focus, Mustang, or Taurus, but it can produce only one of these cars. The fixed cost of operating each plant for a year and the variable cost of producing a car of each type at each plant are given in the file P06_60.xlsx. Ford faces the following restrictions: · Each plant can produce only one type of car. 1 The total production of each type of car must be at a single plant. For example, if any Mustangs are made at plant 1, then all Mustangs must be made there. 1 Each year, Ford must produce five million of each type of car. a. Determine how to minimize the annual cost of producing these cars.
A
B
D
E
1 Ford auto data
2
3
Fixed cost
Variable costs (in $1000s)
(in $billions)
$50
$40
$20
$10
4
Focus
Mustang
Taurus
5 Plant 1
6 Plant 2
7 Plant 3
$11.5
$11.7
$12.4
$12.7
$21.3
$20.9
$21.4
$22.5
$23.3
$22.9
$23.4
$24.5
8 Plant 4
Transcribed Image Text:A B D E 1 Ford auto data 2 3 Fixed cost Variable costs (in $1000s) (in $billions) $50 $40 $20 $10 4 Focus Mustang Taurus 5 Plant 1 6 Plant 2 7 Plant 3 $11.5 $11.7 $12.4 $12.7 $21.3 $20.9 $21.4 $22.5 $23.3 $22.9 $23.4 $24.5 8 Plant 4
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