# Each year, a shoe manufacturin

Each year, a shoe manufacturing company faces demands (which must be met on time) for pairs of shoes as shown in the file P03_40.xlsx. Employees work three consecutive quarters and then receive one-quarter off. For example, a worker might work during quarters 3 and 4 of one year and quarter 1 of the next year. During a quarter in which an employee works, he or she can produce up to 600 pairs of shoes. Each worker is paid \$6,000 per quarter. At the end of each quarter, a holding cost of \$10 per pair of shoes is incurred.

a.  Determine how to minimize the cost per year (labor plus holding) of meeting the demands for shoes. To simplify the model, assume that at the end of each year, the ending inventory is 0. (You can assume that a given worker gets the same quarter off during each year.) Round the production of pairs of shoes to a whole number and if your answer is zero, enter “0”.

My question is how do we determine how many workers start per quarter

 Production/worker schedule

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