Example 2 Certain company is planning its production and the workforce levels for the months from March until August. Forecasted demand for these...

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Example 2 Certain company is planning its production and the workforcelevels for the months from March until August. Forecasteddemand for these periods are, 900, 440, 700, 1150, 1800, and1100. At the end of February the company had 300 employeesand an inventory of 140 units. Besides, the company wants tohave at least 570 units by the end of August. Hiring an employeecosts $340, while laying off an employee costs $690. The cost ofholding a unit in inventory for a month is $40. It is known thatproducing a unit requires 55 hours of labor. Considering that each employee receives $2,200 per month and each month has24 days and each day 8 hours: a) Find the optimal level of production and the number ofemployees required for every month. b) Mat is the effect on the plan if the holding cost doubles?