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Business, 15.04.2020 16:31 dragonslayer321

A fast food restaurant uses full-time and part-time help to meet fluctuating demand during the day. The following table presents projected need for workers at different times of the day:

Time

Workers needed

9:00-10:00

4

10:00-11:00

5

11:00-12:00

9

12:00-1:00

10

1:00-2:00

8

2:00-3:00

4

3:00-4:00

3

4:00-5:00

6

There is a maximum of four full-time workers and the other workers are part-time workers. Each full-time worker is there from 9:00 until 5:00, while the part-time workers will work for 4 consecutive hours at a cost of $4.00 per hour. The cost of the full-time worker is $50 per day. The company wishes to minimize total cost while meeting the demands. Formulate this as a linear programming problem. Carefully define all decision variables.

1. What are the variables?

2. How many constraints are there?

3. What is the objective function?

4. What is lowest cost?

5. What is the worker schedule?

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