ABC Company is the manufacturer of a low-noise air-purification system. Its current capacity is 10,000 units/month, but
Question:
ABC Company is the manufacturer of a low-noise air-purification system. Its current capacity is 10,000 units/month, but ABC received orders totaling 9,000 units each month. Currently, ABC sells its system at a price of $200 per unit, its fixed cost is $500,000/month, and its variable cost is $100/unit. Note that currently, half of ABC’s variable cost is materials, and the other half is labor cost (wages for workers). ABC wants to consider cutting its price by 10% to stimulate demand. If ABC expands its capacity, it will have to lease additional manufacturing machines, each of which will cost $20,000/month to lease and can add 1000 units to ABC’s capacity. All existing workers are already working full-time. So, if ABC expands production, ABC has to either pay existing employees for overtime (1.5 times the regular wages) or hire new workers, who are expected to be paid 90% of the hourly wage of existing workers but produce only 75% of the hourly output of existing workers.
What are the incremental breakeven unit sales for the 10% price cut? If ABC’s monthly order is estimated to increase by no more than 24% after the 10% price cut, should ABC implement the price cut?
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman