Estimate the workforce required to cover the next 4 planning periods. The information you have available is anticipated demand (found in the next table), starting inventory (1,200 units), and the time it takes to make a part in man-minutes. The time it takes to manufacture a part is 7 min (or 7/60 man-hours). The time available to work by period is also found in the table. Assume that there are 50 employees currently in the workforce template.

You looked for the costs of the systems to be able to use that line as one of the metrics to evaluate. The related costs are: $ 4 per unit held in inventory (hold) per quarter, $ 550 per employee hired, and $ 800 per employee per terminated.

Important: When you solve the problem, you do it as a linear programming one.

Period	Expected Demand	Available Work Time (hrs.)
1	13987	2500
2	21002	2545
3	12345	2560
4	35142	2570

Formulate the problem as one that seeks to minimize the costs of workforce planning. The number of employees is allowed to be real numbers (fractions). Write the formulation, including definition of variables, objective function, and constraints.

Solve the problem as one of a chase strategy and submit the result of the labor force and its associated total cost