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Sub Optima Corporation has been suffering from sales demand at less than full utilization of its capacity. It has two product lines, A and B.

Sub Optima Corporation has been suffering from sales demand at less than full utilization of its capacity. It has two product lines, A and B. Product line A has been weak for several years. Sub Optima has tried to maintain its pricing at $110 a unit, but has steadily lost sales volume until it sells about 100,000 units less than it did five years ago. Last year, the company sold 200,000 more units of product B, but a contract for that many units per year ran out when Sub Optima bid its usual price of $200 a unit. With that contract, product line B had operated at approximately full capacity. However, a competitor, faced with idle capacity, substantially undercut that price. No other Sub Optima customer purchases such a large volume of either product. Below are cost and revenue information and the budget for the current year. Sub Optima is under considerable pressure to turn the projected pre-tax loss into a pre-tax profit.

Budget Information

Product A

Product B

Sales volume in units

500,000

300,000

Average sales price per unit

$110

$200

Unit cost factors:

Direct material cost

$25

$40

Direct labor

$20

$40

Machine hours per unit

10

15

Overhead:

Variable--per DM$

0.30

0.40

Variable--per DL$

0.50

0.40

Variable--per machine hour

$1.00

$1.50

Fixed--per machine hour

$4.00

$4.00

Budget

Product A

Product B

Totals

Total revenue

$55,000,000

$60,000,000

$115,000,000

Product costs:

Direct material cost

12,500,000

12,000,000

24,500,000

Direct labor

10,000,000

12,000,000

22,000,000

Overhead:

Variable--based on DM$

3,750,000

4,800,000

8,550,000

Variable--based on DL$

5,000,000

4,800,000

9,800,000

Variable--based on machine hours

5,000,000

6,750,000

11,750,000

Fixed

20,000,000

18,000,000

38,000,000

Total product cost

56,250,000

58,350,000

114,600,000

Gross margin

-1,250,000

1,650,000

400,000

Selling and administrative costs

2,500,000

Income before taxes

-2,100,000

Margin on sales revenue

-1.83%

How much Product A and Product B must Sub Optima sell in order to break even?

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