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## Assignment 1 Staff Schedule

Snookers Restaurant is open from 8:00 a.m. to 10:00 p.m. daily. Besides the hours they are open for business, workers are needed an hour before opening and an hour after closing for setup and clean up activities. The restaurant operates with both full-time and part-time workers on the following shifts:

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The following numbers of workers are needed during each of the indicated time blocks.

At least one full time worker must be available during the hour before opening and after closing. Additionally, at least 30% of the employees should be full-time (8-hour) workers during the restaurant’s busy periods from 11:00 a.m. − 1:00 p.m. and 5:00 p.m. − 7:00 p.m. Question 1. Formulate an ILP for this problem with the objective of minimizing total daily labor costs. Question 2. Implement your model in a spreadsheet and solve it. What is the optimal solution?

## Question 1

Formulate an ILP for this problem with the objective of minimizing total daily labor costs.

## Question 2

Snookers Restaurant

Implement your model in a spreadsheet and solve it.

## 1. Weedwacker Company

The Weedwacker Company manufactures two types of lawn trimmers: an electric model and a gas model. The company has contracted to supply a national discount retail chain with a total of 30,000 electric trimmers and 15,000 gas trimmers. However, Weedwacker’s production capability is limited in three departments: production, assembly, and packaging. The following table summarizes the hours of processing time available and the processing time required by each department, for both types of trimmers:

The company makes its electric trimmer in-house for \$55 and its gas trimmer for \$85. Alternatively, it can buy electric and gas trimmers from another source for \$67 and \$95, respectively. How many gas and electric trimmers should Weedwacker make and how many should it buy from its competitor in order to fulfill its contract in the least costly manner? a. Formulate an LP model for this problem in “Answer a” tab. b. Create a spreadsheet model for this problem in “Answer b” tab and solve it using Solver.

Weedwacker Company

Minimize: E8 By Changing: B4:C5 Subject To: B10:C10=B11:C11 D14:D16<=E14:E16 B4:C5>=0

## 2. Rent-A-Dent

The Rent-A-Dent car rental company allows its customers to pick up a rental car at one location and return it to any of its locations. Currently, two locations (1 and 2) have 16 and 18 surplus cars, respectively, and four locations (3, 4, 5, and 6) each need 10 cars. The costs of getting the surplus cars from locations 1 and 2 to the other locations are summarized in the following table.

Because 34 surplus cars are available at locations 1 and 2, and 40 cars are needed at locations 3, 4, 5, and 6, some locations will not receive as many cars as they need. However, management wants to make sure that all the surplus cars are sent where they are needed, and that each location needing cars receives at least five. c. Formulate an LP model for this problem in “Answer c” tab. d. Create a spreadsheet model for this problem in “Answer d” tab and solve it using Solver.