In: Accounting
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:
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.
The direct labor rate of $12 per hour is expected to remain unchanged during the coming year.
Fixed manufacturing costs total $640,000 per year. Variable overhead costs are $3 per direct labor-hour.
All of the company’s nonmanufacturing costs are fixed.
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)?
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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economical sales and production mix for the coming year. The
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Selling
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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
50,000
$
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$
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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
65,000
$
28.00
$
4.20
$
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Trish
57,000
$
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$
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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
57,000
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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
70,000
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$
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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
50,000
$
16.70
$
4.30
$
6.40
Trish
42,000
$
7.50
$
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$
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35,000
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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
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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
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management requests assistance from you in determining an
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(units)
Selling
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per Unit
Direct
Materials
Direct
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$
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59,000
$
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$
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$
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