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MAN 4504 FAU Find the Total Working Hours to Manufacture the Items Questions

MAN 4504 FAU Find the Total Working Hours to Manufacture the Items Questions

Question Description

Question 

Consider a machine in a manufacturing center that can process multiple types of

products. During a day, the machine is available for 8 hours. We have a set of potential items that can be

processed on this machine and after the process, each item can be sold to a customer. Assume that we

only can sell one copy of each item. Table below shows the processing times and the potential profit of

each item.

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Items

A

B

C

D

E

F

G

Processing  Time  

(minutes)

80

75

65

125

100

90

120

Revenue (4)

529

990

748

805

575

727

773

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1- Which items the manufacturer should select to process and sell to the customer in order to

maximize his profit? Write a mathematical optimization model for this problem. Clearly define

decision variables, objective function, and constraints for the optimization model. Use Excel to

solve the optimization model.

2- How long (in minutes) the machine remains idle during a day?

3- What is the solution of the problem if we assume that we can sell multiple copies of each item?

How the objective function value changes if we consider this new assumption? Use excel to

solve the problem with this new assumption

***************** I also uploaded a word document containing the question as well.

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