Question

Portsmouth Company makes upholstered furniture. Its only variable cost is direct materials. The demand for the companys prod

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 $ 1,400 $ 1,800 $ 1,500
Variable cost per unit $ 800 $ 1,200 $ 1,000
Upholstery labor-hours per unit 8 hours 10 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 $45 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 it provides the raw materials to the nearby company and then hires it to upholster the Love Seats?

3. Should Portsmouth hire the nearby upholstering company?

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Answer #1

1)

Sofas
Sales price per unit $1800
Less: Variable cost per unit (1200)
Contribution margin per unit 600
Upholstery labor-hours per unit 10 hours
Maximum overtime premium per hour (600/10)= $60

2)

Love Seat
Sales price per unit $1500
Less: Variable cost per unit (1000)
Contribution margin per unit 500
Upholstery labor-hours per unit 5 hours
Contribution margin per hour (500/5)= $100
Less: Purchase price (45)
Additional contribution margin per hour $55

3) Yes, Portsmouth should hire the nearby upholstering company. As by hiring the upholstering company the Portsmouth is earning profit.

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