Question

In: Accounting

The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the...

The Walton Toy Company manufactures a line of dolls and a sewing kit. Demand for the company’s products is increasing, and management requests assistance from you in determining an economical sales and production mix for the coming year. The company has provided the following data:

Product Demand
Next year
(units)
Selling
Price
per Unit
Direct
Materials
Direct
Labor
Debbie 63,000 $ 21.00 $ 5.60 $ 4.20
Trish 55,000 $ 7.50 $ 2.40 $ 1.44
Sarah 48,000 $ 36.50 $ 8.39 $ 7.80
Mike 48,000 $ 16.00 $ 3.30 $ 5.40
Sewing kit 338,000 $ 9.30 $ 4.50 $ 0.84

The following additional information is available:  

  1. The company’s plant has a capacity of 94,310 direct labor-hours per year on a single-shift basis. The company’s present employees and equipment can produce all five products.

  2. The direct labor rate of $12 per hour is expected to remain unchanged during the coming year.

  3. Fixed manufacturing costs total $650,000 per year. Variable overhead costs are $4 per direct labor-hour.

  4. All of the company’s nonmanufacturing costs are fixed.

  5. The company’s finished goods inventory is negligible and can be ignored.

Required:

1. How many direct labor hours are used to manufacture one unit of each of the company’s five products?

2. How much variable overhead cost is incurred to manufacture one unit of each of the company’s five products?

3. What is the contribution margin per direct labor-hour for each of the company’s five products?

4. Assuming that direct labor-hours is the company’s constraining resource, what is the highest total contribution margin that the company can earn if it makes optimal use of its constrained resource?

5. Assuming that the company has made optimal use of its 94,310 direct labor-hours, what is the highest direct labor rate per hour that Walton Toy Company would be willing to pay for additional capacity (that is, for added direct labor time)?

Solutions

Expert Solution

DEBBIE TRISH SARAH MIKE SEWING KIT
Labour cost per unit 4.20 1.44 7.80 5.40 0.84
labour rate perr hour 12.00 12.00 12.00 12.00 12.00
labour horus per unit required 0.35 0.12 0.65 0.45 0.07
DEBBIE TRISH SARAH MIKE SEWING KIT
Labour cost per unit 4.20 1.44 7.80 5.40 0.84
labour rate perr hour 12.00 12.00 12.00 12.00 12.00
labour horus per unit required 0.35 0.12 0.65 0.45 0.07
Variable OH rate per hour 4.00 4.00 4.00 4.00 4.00
variable cost per unit 1.40 0.48 2.60 1.80 0.28
DEBBIE TRISH SARAH MIKE SEWING KIT
Selling price 21.00 7.50 36.50 16.00 9.30
Less: variable cost
Material 5.60 2.40 8.39 3.30 4.50
Labour 4.20 1.44 7.80 5.40 0.84
Overheads 1.40 0.48 2.60 1.80 0.28
Contribution margin per unt 9.80 3.18 17.71 5.50 3.68
Divide: Labour hrs 0.35 0.12 0.65 0.45 0.07
Contribution mamrgin per hour 28.00 26.50 27.25 12.22 52.57
Ranking II IV III V I
Units Hrs per unit Total hrs
Debbie 63000 0.35 22050
Trish 55000 0.12 6600
Sarah 48000 0.65 31200
Mike 48000 0.45 21600
Sewing kit 338000 0.07 23660
Total hrs required 105110
Total Hours available: 94310.00
Less: Distributed in order of ranking
Sewing kit 23660
Debbie 22050
Sarah 31200
Trish 6600
Hours available for Mike 10800.00
Contribution earned
Hrs Contribution per hour Contributuon mrgin
Debbie 22050 28 617400

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