If machine 2 is used, machine 3 must be used also. However, if machine 3 is used, machine 2 need NO be used. The company wants to minimize the total cost of fulfill the contract. Please formulate a mixed integer linear programming problem to decide which machine(s) to use and how many garden hoses to produce on each machine if the machine used.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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The Westfall Company has a contract to produce 10,000 garden hoses for a large discount chain.
Westfall has four different machines that can produce this kind of hose. Because these machines are
from different manufacturers and use different technologies, their specifications are not the same.
Machine
1
2
3
4
Fixed Cost to
Set Up
$750
$500
$1000
$300
Variable Cost
Per Hose
$1.25
$1.50
$1.00
$2.00
Capacity
(units)
6000
7500
4000
5000
If machine 2 is used, machine 3 must be used also. However, if machine 3 is used, machine 2 need NOT
be used.
The company wants to minimize the total cost of fulfill the contract. Please formulate a mixed integer
linear programming problem to decide which machine(s) to use and how many garden hoses to
produce on each machine if the machine is used.
The correct set of decision variables is:
Transcribed Image Text:The Westfall Company has a contract to produce 10,000 garden hoses for a large discount chain. Westfall has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use different technologies, their specifications are not the same. Machine 1 2 3 4 Fixed Cost to Set Up $750 $500 $1000 $300 Variable Cost Per Hose $1.25 $1.50 $1.00 $2.00 Capacity (units) 6000 7500 4000 5000 If machine 2 is used, machine 3 must be used also. However, if machine 3 is used, machine 2 need NOT be used. The company wants to minimize the total cost of fulfill the contract. Please formulate a mixed integer linear programming problem to decide which machine(s) to use and how many garden hoses to produce on each machine if the machine is used. The correct set of decision variables is:
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