Bart owns a kale farm. Bart grows and processes the kale into kale chips which are also packaged and stored on the farm. Based on past experience, Bart estimates that sales over the next five years will be as follows:

Year Forecasted Demand(Packages)

1 280,000

2 120,000

3 200,000

4 110,000

5 135,000

Bart has three workers on the payroll. Each worker is paid an average of $35,000 per year and is responsible for producing 30,000 packages. Inventory costs have been estimated to be $0.06 per package per year, and shortages are not allowed.Assume Bart works 180 days per year. Bart estimates that it costs $750 for each worker hired and $1,200 for each worker fired.

a)Assuming that shortages are not allowed, determine the minimum constant workforce needed over the next five years.

b)Evaluate the cost of the plan found in part (a).

c)Formulate this as a linear program.

d)Solve this as a linear program.