A firm's call center handles 150 calls an hour. It can staff with full time employees or trainees. It has 28 full time employees and 20 trainees . A full time employee can handle 5 calls an hour and a trainee can handle 3 calls an hour. A full time employee is paid $40 an hour and a trainee $20 an hour. The firm wishes to find the mix of full time employees and trainees to minimize the hourly cost of staffing its call center.

1. Using X1 = the number of trainees and X2 = the number of full time employees assigned to the call center, write the following

a. The objective function.

b. The constraint that the center must be staffed to handle 150 (at least) calls.

c. The constraint that only 28 full time employees are available for staffing.

d. The constraint that only 20 trainees are available for staffing.

e. A manage suggests 20 full time and 15 trainees be assigned. Is this a feasible plan? Explain. Show work.