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 55,000 $ 27.00 $ 4.80 $ 5.00
Trish 47,000 $ 6.00 $ 1.60 $ 1.50
Sarah 40,000 $ 40.00 $ 7.19 $ 8.00
Mike 35,000 $ 15.00 $ 2.50 $ 6.00
Sewing kit 330,000 $ 8.50 $ 3.70 $ 1.00

The following additional information is available:  

  1. The company’s plant has a capacity of 110,050 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 $10 per hour is expected to remain unchanged during the coming year.

  3. Fixed manufacturing costs total $570,000 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 110,050 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

1 Debbie Trish Sarah Mike Sewing Kit
Direct labor cost a 5 1.5 8 6 1
Direct labor rate per hour b 10 10 10 10 10
Direct labor hours per unit a/b 0.5 0.15 0.8 0.6 0.1
2 Debbie Trish Sarah Mike Sewing Kit
Direct labor hours per unit a 0.5 0.15 0.8 0.6 0.1
Variable overhead costs per hour b 4 4 4 4 4
Variable overhead costs a*b 2 0.6 3.2 2.4 0.4
3 Contribution margin per direct labor hour:
Debbie Trish Sarah Mike Sewing Kit
Selling price per unit 27 6 40 15 8.5
Less: Variable expenses
Direct materials 4.8 1.6 7.19 2.5 3.7
Direct labor 5 1.5 8 6 1
Variable overhead costs 2 0.6 3.2 2.4 0.4
Total variable expenses 11.8 3.7 18.39 10.9 5.1
Contribution margin per unit a 15.2 2.3 21.61 4.1 3.4
Direct labor hours per unit b 0.5 0.15 0.8 0.6 0.1
Contribution margin per direct labor hour a/b 30.4 15.33 27.01 6.83 34
4 Debbie Trish Sarah Mike Sewing Kit
Contribution margin per direct labor hour 30.4 15.33 27.01 6.83 34
Rank 2 4 3 5 1
Total labor hours required=110050
First preference should be given to Sewing Kit
Sewing kit production=330000 units
Labor hours required for sewing kit=0.1
Total labor hours used=330000*0.1=33000 hours
Balance hours available=110050-33000=77050 hours
Second preference should be given to Debbie
Debbie production=55000 units
Labor hours required for debbie=0.5
Total labor hours used=55000*0.5=27500 hours
Balance hours available=77050-27500=49550 hours
Third preference should be given to Sarah
Sarah production=40000 units
Labor hours required for Sarah=0.8
Total labor hours used=40000*0.8=32000 hours

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