Question: solve the following two problems submit three outputs for each...

Solve the following two problems. Submit three outputs for each: solutions for chase, level and a mixed strategy. This assignment is due on Tuesday, January 29^th in class.

1. The XYZ manufacturing company determined the demand forecast for one of its family of products as:

Month                  1              2              3              4              5              6              7              8              9             

Demand               100         200         250         100         50           150         250         100         150

                The wages are $2000 per month per worker. Each worker can produce 5 units per month. The hiring cost is $1000 per worker while the layoff cost is $500 per worker. It costs $50 to carry one unit for one month. No backorders and no lost sales are allowed. Currently the company employs 15 workers.

1. Determine the total cost of the chase strategy
2. Determine the total cost of the level strategy
3. Use a mixed-strategy to lower the total cost.

2. A supermarket determined the number of cashiers needed for the next 7 months as:

month                  1              2              3              4              5              6              7

Cashiers               5              3              2              6              9              8              10

The supermarket wants to employ full-time employees as cashiers. Wages are $2500 per cashier per month. Hiring cost is $500 per cashier and firing cost is $1000 per cashier. A cashier can work overtime up to 25% of the regular time. The overtime pay is %150 of the regular wages. The supermarket has just fired all cashiers.

1. Determine the total cost of the chase strategy
2. Determine the total cost of the level strategy
3. Use a mixed-strategy to lower the total cost.