### Write the objective and constraints equations

Assignment Help Management Theories
##### Reference no: EM13944215

2. A bicycle company has the following projected sales demand for the next 9 months (assume each month has the same number of production days):

 Month Demand 1 2,400 2 3,600 3 3,000 4 3,800 5 4,000 6 3,500 7 2,800 8 3,300 9 3,000

Inventory costs them \$20 per month per bike, and any shortage costs them \$200 in lost profit. It costs \$900 to produce a bike. They currently have 26 workers, each capable of producing 105 bikes per month. The workers can produce 20 extra bikes per month on overtime, but it costs an additional \$30 in overtime cost per bike produced in overtime. (0.4 points)

a. Write the objective and constraints equations

b. Compute the cost of using overtime and inventory production without short­ages. Can they accomplish that goal under current circumstances?

c. Compute the cost of producing using only overtime and shortages (if neces­sary). No inventory.

d. Which alternative is better? Discuss.

e. Assume that it costs \$1000 to hire a person and that person is added permanently to the workforce. How would this change the above answers?

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