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Problem 11-25 Volume Trade-Off Decisions [LO11-5, LO11-6] The Walton Toy Company manufactures a line of dolls...

Problem 11-25 Volume Trade-Off Decisions [LO11-5, LO11-6]

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 51,000 $ 15.50 $ 4.40 $ 2.70
Trish 43,000 $ 6.00 $ 1.20 $ 1.20
Sarah 36,000 $ 25.00 $ 6.59 $ 4.50
Mike 40,000 $ 11.00 $ 2.10 $ 3.30
Sewing kit 326,000 $ 8.10 $ 3.30 $ 0.90

The following additional information is available:  

  1. The company’s plant has a capacity of 118,450 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 $6 per hour is expected to remain unchanged during the coming year.

  3. Fixed manufacturing costs total $530,000 per year. Variable overhead costs are $3 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 118,450 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)?

1,2,3.) answer for each: debbie, trish, sarah, mike, sewing kit.

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