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.
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.
Chapter10: Short-term Decision Making
Section: Chapter Questions
Problem 13PA: Sports Specialists makes baseballs and softballs in a three-step process. Unfortunately, the sewing...
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Question
![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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47a27b45-bbae-484e-a10e-b50f62e64264%2Fc23e3de9-e778-4b88-be90-75a8bb9be5a6%2Fyfz1o9f_processed.jpeg&w=3840&q=75)
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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