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Problem - Perton Manufacturing produces three products: A, B, and C. Production information for the past two years is below:
Product A
Product B
Product C
Total
2012
Units sold
40,000
50,000
130,000
Sales
7,200,000
9,600,000
20,000,000
36,800,000
Cost of Goods Sold
3,000,000
1,800,000
15,000,000
19,800,000
Gross Profit
4,200,000
7,800,000
5,000,000
17,000,000
Selling & Other Exp.
2,000,000
3,600,000
8,600,000
Net Income b4 Tax
2,200,000
8,400,000
Labor Hours Used
160,000
120,000
100,000
380,000
2013
60,000
170,000
9,000,000
14,400,000
24,000,000
47,400,000
3,750,000
2,700,000
18,000,000
24,450,000
5,250,000
11,700,000
6,000,000
22,950,000
2,250,000
3,900,000
3,200,000
9,350,000
2,800,000
13,600,000
200,000
180,000
500,000
Their union contract limits the regular hours to be worked by each of Perton's 250 current employees to 40 hours per week for 50 weeks with 2 weeks of vacation. Overtime work must pay time-and-a-half, or $15/hr. and is limited to 20% of base hours per employee. As the above numbers show, the demand for Perton's products has increased and in 2013 their employees worked the maximum number of hours to avoid overtime but still left unfilled demand even though their plant has a total capacity of 240,000 combined units. Perton estimates that actual demand is:
Product
Demand
A
110,000 units
B
60,000 units
C
80,000 units
1. What is Perton's breakeven point in total units (of all products) if their sales mix remains constant?
2. If overtime is not allowed, how can Perton adjust their sales mix to best utilize their existing workers?
3. How would making this change affect their pre-tax profits?
4. Should Perton allow employees to work overtime? Why or why not?
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