FORMULATE A LINEAR PROGRAM INCLUDES 1) Decision Variables 2) Objective Function 3) Constraints 4) Non Negativity for the following Question :

The operations manager at Metropolis National Bank has a staffing problem. Demand for clerical staff varies throughout the day, but 24-hour coverage is necessary because the bank handles a number of international transactions. A recent study has shown how many clerical workers are needed each hour in the course of the day, as shown below.

Under current labor policies, clerical workers may be assigned to any of the six shifts, some of which overlap The shift and salary cost are as follows.

a. Provide the operations manager with a schedule that will deploy enough staff to meet the hourly requirements at the minimum daily total cost.

b. In the optimal schedule, how many hourly periods are overstaffed?