In: Operations Management
Plan production for a four-month period: February through May.
For February and March, you should produce to exact demand
forecast. For April and May, you should use overtime and inventory
with a stable workforce; stable means that the number of
workers needed for March will be held constant through May.
However, government constraints put a maximum of 5,000 hours of
overtime labor per month in April and May (zero overtime in
February and March). If demand exceeds supply, then backorders
occur. There are 90 workers on January 31. You are given the
following demand forecast: February, 80,640; March, 69,120; April,
100,240; May, 40,240. Productivity is four units per worker hour,
eight hours per day, 24 days per month. Assume zero inventory on
February 1. Costs are: hiring, $46 per new worker; layoff, $66 per
worker laid off; inventory holding, $12 per unit-month; regular
time labor, $12 per hour; overtime, $18 per hour; backorder, $24
per unit.
Develop a production plan and calculate the total cost of this
plan. Note: Assume any layoffs occur at beginning of next month.
(Leave the cells blank, whenever zero (0) is required.
Negative values should be indicated by a minus sign. Round your
answers to the nearest whole number.)