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 62,000 $ 20.50 $ 5.50 $ 3.60
Trish 54,000 $ 7.00 $ 2.30 $ 1.32
Sarah 47,000 $ 34.00 $ 8.24 $ 7.20
Mike 56,000 $ 15.00 $ 3.20 $ 4.80
Sewing kit 337,000 $ 9.20 $ 4.40 $ 0.72

The following additional information is available:  

  1. The company’s plant has a capacity of 84,160 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 $640,000 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 84,160 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

SL.NO PARTICULARS DEBBIE TRISH SARAH MIKE SEWING KIT TOTAL
A DEMAND UNITS       62,000.00           54,000.00      47,000.00      56,000.00     3,37,000.00     5,56,000.00
B SELLING PRICE PER UNIT               20.50                      7.00              34.00              15.00                   9.20
C DIRECT MATERIAL COST PER UNIT                  5.50                      2.30                 8.24                 3.20                   4.40
D DIRECT LABOUR RATE PER UNIT                  3.60                      1.32                 7.20                 4.80                   0.72
E LABOUR HOURS PER UNIT(D/12)                  0.30                      0.11                 0.60                 0.40                   0.06                   1.47
F VARIABLE OVERHEAD PER UNIT (E*3)                  0.90                      0.33                 1.80                 1.20                   0.18
G TOTAL VARIABLE COST(C+D+F)               10.00                      3.95              17.24                 9.20                   5.30                 45.69
H CONTRIBUTION PER UNIT               10.50                      3.05              16.76                 5.80                   3.90                 40.01
I CONTRIBUTION PER LABOUR HOUR (H/E)               35.00                   27.73              27.93              14.50                 65.00
J TOTAL HOURS REQUIRED (A*E)       18,600.00             5,940.00      28,200.00      22,400.00        20,220.00        95,360.00
K RANK BASED ON CONTRIBUTUION/HOURS II IV III V I
L NO. OF UNITS PRODUSED       62,000.00           54,000.00      47,000.00      28,000.00     3,37,000.00
WN#1
M TOTAL CONTRIBUTION (L*H) 6,51,000.00       1,64,700.00 7,87,720.00 1,62,400.00 13,14,300.00 30,80,120.00
N FIXED COST     6,40,000.00
O MAXIMUM PROFIT 24,40,120.00
WN#1 PARTICULARS UNITS TOTAL HOURS
SEWING KIT 3,37,000.00           20,220.00
DEBBIE       62,000.00           18,600.00
SARAH       47,000.00           28,200.00
TRISH       54,000.00             5,940.00
TOTAL HOURS           72,960.00
CAPACITY           84,160.00
BALANCE HOURS           11,200.00
LABOUR HOUR PER UNIT OF MIKE                      0.40
MAXIMUM PRODUCTION           28,000.00
1 direct labor hours are used to manufacture one unit of each of the company’s five products
DEBBIE                  0.30 POINT E
TRISH                  0.11
SARAH                  0.60
MIKE                  0.40
SEWING KIT                  0.06
2 variable overhead cost is incurred to manufacture one unit of each of the company’s five products
DEBBIE               10.00 POINT H
TRISH                  3.95
SARAH               17.24
MIKE                  9.20
SEWING KIT                  5.30
3 contribution margin per direct labor-hour for each of the company’s five products
DEBBIE               35.00 POINT I
TRISH               27.73
SARAH               27.93

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