Question

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	$	1,206		$	1,620		$	1,250
Variable cost per unit	$	800		$	1,100		$	800
Upholstery labor-hours per unit	7 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 $36 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 hires the nearby upholstering company to make Love Seats?

3. Should Portsmouth hire the nearby upholstering company?

Answer 1

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Part 1
Selling price	$         1,620
Less Variable cost per unit	$        -1,100
Contribution margin per unit (a)	$             520
Sofa time required to produce one unit (b)	13
Contribution margin per unit of the constrained resource (a)/(b)	$               40	per hour
The Company should be willing to pay at least $40 per hour
Part 2
		Recliner	sofa	Love seat
SP per unit		$        1,206	$         1,620	$        1,250
Less Variable cost per unit		$          -800	$        -1,100	$          -800
Contribution margin per unit	(a)	$           406	$             520	$            450
Upholstery shop time required to produce one unit	(b)	7	13	5
CM per unit of the constrained Resource	(a)/(b)	$        58.00	$         40.00	$        90.00
Additional Contribution Earned $90-$36				$              54
Part 3
Offer should be accepted.
This time should be used to upholster Love seat as it will give $54 per hour.
If no futher deman for Love seats, can be used for Recliner,
which are giving CM per hour more than $58 per hour