solved Question Consider a machine in a manufacturing center that can

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.