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Question 57454: Tom Pepperoni is the manager of one of the largest Pizza Pie franchises in the country. in working out her summer staffing need, she is trying to determine the best mix of experienced and inexperienced workers. Inexperienced workers are paid $5.50 per hour, compared to $8.00 per hour for experienced workers. However, inexperienced workers are only 75% as productive as experienced workers.
Based on many years of experience running fast-food outlets, Ms. Pepperoni has come to the conclusion that there must be at least one experienced worker for every two inexperienced workers for the operation to run smoothly. Inexperienced workers are ony 75% as productive as experienced workers. She estimates that she needs, on average, the equivalent productivity of 10 experienced workers at all times in order to handle the workload during the course of the week. In addition, she has made a commitment to the community to hire at least 4 neighborhood teenagers with no previous work experience.
Decision Variables are : E = experienced workers I = inexperienced workers
W = wages
Equation to compute her average total hourly wages: (E(8) + I(5.50))divided by E+I = W
Objective Function - (E(8) + I(5.50))divided by E+I = W
Three restrictions: 1) Must have at least 4 inexperienced workers
2) Must have at least 1 experienced worker for every 2 inexperienced worker.
3) Must have the workforce of at least 10 experienced workers.
Help - Write a mathematical expression representing each of these restrictions.
Help - Write mathematical constaints to graph
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Decision Variables are : E = experienced workers I = inexperienced workers
W = wages
Equation to compute her average total hourly wages: (E(8) + I(5.50))divided by E+I = W
Objective Function - (E(8) + I(5.50))divided by E+I = W
Three restrictions: 1) Must have at least 4 inexperienced workers
I>=4
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2) Must have at least 1 experienced worker for every 2 inexperienced worker.
E>=2I
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3) Must have the workforce of at least 10 experienced workers.
E>=10
Cheers,
Stan H.
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