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Instructions: Each of the following problems is to be solved using Solver in Excel. In order to receive proper and maximum credit, your spreadsheet(s) should show the formulation of your LP or ILP model, your assumptions, and the implementation of your model. Label appropriately. Use cell notes if needed.
1. A company needs to hire workers to cover a 7 day work week. Employees work 5 consecutive days with 2 days off. The demand for workers by day of the week and the weekly wages for the employees are:
Days of Week
Workers Required
Shift
Days off
Wage
Sunday
54
1
Sun & Mon
900
Monday
50
2
Mon & Tue
1000
Tuesday
36
3
Tue & Wed
Wednesday
38
4
Wed & Thu
Thursday
42
5
Thu & Fri
Friday
40
6
Fri & Sat
Saturday
48
7
Sat & Sun
850
The company wishes to determine the number of employees to have on each shift such that the operating costs are minimized
a) Formulate the model for this problem.
b) What is the optimal solution?
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If SMM wants to have at least 5 ads per day, but spend no more than $50,000 on Friday and no more than $75,000 on Saturday, formulate a linear program to help SMM decide how the company should advertise over the weekend.
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What is the probability that my right headlight will last for at least 1900 hours given that it has not failed after 950 hours?
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