Portsmouth Company makes upholstered furniture. Its only variable cost is direct materials. The demand for the company's products far exceeds its manufacturing capacity. The bottleneck (or constraint) in the production process is upholstery labor-hours. Information concerning three of Portsmouth's upholstered chairs appears below:
Recliner | Sofa | Love Seat | ||||||||||
Selling price per unit | $ | 1,300 | $ | 1,950 | $ | 1,400 | ||||||
Variable cost per unit | $ | 700 | $ | 1,300 | $ | 1,000 | ||||||
Upholstery labor-hours per unit | 10 hours | 13 hours | 5 hours | |||||||||
Required:
1. Portsmouth is considering paying its upholstery laborers hourly compensation, in addition to their usual salaries, to work overtime. Assuming that this extra time would be used to produce sofas, up to how much of an overtime premium per hour should the company be willing to pay to keep the upholstery shop open after normal working hours?
2. A small nearby upholstering company has offered to upholster furniture for Portsmouth at a price of $47 per hour. The management of Portsmouth is confident that this upholstering company’s work is high quality and their craftsmen can work as quickly as Portsmouth’s own craftsmen on the simpler upholstering jobs such as the Love Seat. How much additional contribution margin per hour can Portsmouth earn if if it hires the nearby upholstering company to make Love Seats?
3. Should Portsmouth hire the nearby upholstering company?
Answer:-
Explanation :-
(a) contribution margin per unit
= sales- variable cost / time
= (1950 -1300) / 13
= $50
(b)
contribution margin per unit
= (1400-1000)/ 5
= 400/5 = 80
* additional contribution margin = 80 - 47 = $33
(c) Should be accepted
explanation:-
The offer by the nearby upholstering company to upholster furniture for $47 per hour should be accepted. The time would be used to upholster Loveseats. If this increases the total production and sales of Loveseats, the time would be worth $80 per hour—a net gain of $33 per hour. If Loveseats are already being produced up to demand, then having these units upholstered in the other company would free up capacity to produce more of the other two product-lines. In both cases, the additional time is worth more than $33 per hour.
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