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 68,000 $ 31.00 $ 4.50 $ 4.20
Trish 60,000 $ 5.00 $ 1.40 $ 0.77
Sarah 53,000 $ 44.50 $ 9.14 $ 6.30
Mike 34,000 $ 17.00 $ 3.80 $ 4.90
Sewing kit 343,000 $ 9.80 $ 5.00 $ 0.42

The following additional information is available:  

  1. The company’s plant has a capacity of 127,580 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 $7 per hour is expected to remain unchanged during the coming year.

  3. Fixed manufacturing costs total $565,000 per year. Variable overhead costs are $5 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 127,580 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

Answer 1 & 2
Product Demand Direct Labour Cost ( in $) Direct Labour Hour Variable Overhead ($)
(Units)
(A) (B) = [(A)/7] C = B * $5
Debbie 68000 $4.20 0.6 $3.00
Trish 60000 $0.77 0.11 $0.55
Sarah 53000 $6.30 0.9 $4.50
Mike 34000 $4.90 0.7 $3.50
Sewing Kit 343000 $0.42 0.06 $0.30
Answer 3 & 4
Product Demand Selling Price Direct Material Direct Labour Variable Overhead Contribution Margin (CM) Direct Labour Hour CM per Direct Labour hr Ranking of Production Labour Hours utilised Units Produced Contibution Earned
(Units)
Debbie 68000 $31.00 $4.50 $4.20 $3.00 $19.30 0.6 $32.17 II 40800 68000 $13,12,400.00
Trish 60000 $5.00 $1.40 $0.77 $0.55 $2.28 0.11 $20.73 IV 6600 60000 $1,36,800.00
Sarah 53000 $44.50 $9.14 $6.30 $4.50 $24.56 0.9 $27.29 III 47700 53000 $13,01,680.00
Mike 34000 $17.00 $3.80 $4.90 $3.50 $4.80 0.7 $6.86 V                10,000 34000 $1,63,200.00
Sewing Kit 343000 $9.80 $5.00 $0.42 $0.30 $4.08 0.06 $68.00 I 20580 343000 $13,99,440.00
Total 115680 $43,13,520.00

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