Gargantuan Industries is a multiproduct company with several manufacturing plants. The Boise Plant manufactures and distributes two household cleaning and polishing compounds, standard and commer-cial, under the Super Clean label. The forecasted operating results for the first six months of the current year, when 100,000 cases of each compound are expected to be manufactured and sold, are presented in the following statement. SUPER CLEAN COMPOUNDSBOISE PLANTForecasted Results of OperationsFor the Six-Month Period Ending June 30(in Thousands).

Sales

Standard Commercial Total

$2,000$3,000$5,000

Cost of goods sold

Standard Commercial Total

1,600 1,900 3,500

Gross profit

Standard Commercial Total

$ 400$1,100$1,500

Selling and administrative expenses: Variable

Standard Commercial Total

$400$700$1,100

Fixed*

Standard Commercial Total

240 360 600

Total selling and administrative expenses

Standard Commercial Total

$ 640$1,060$1,700

Income (loss) before taxes

Standard Commercial Total

$ (240)$ 40$ (200)

*The fixed selling and administrative expenses are allocated between the two products on the basis of dollar sales volume. The standard compound sold for $20 a case and the commercial compound sold for $30 a case during the first six months of the year. The manufacturing costs, by case of product, are presented in the schedule below. Each product is manufactured on a separate production line. Annual normal manufac-turing capacity is 200,000 cases of each product. However, the plant is capable of producing 250,000 cases of standard compound and 350,000 cases of commercial compound annually.

Cost per Case

Direct material

StandardCommercial

$ 7.00$ 8.00

Direct labor

StandardCommercial

4.004.00

Variable manufacturing overhead

StandardCommercial

1.002.00

Fixed manufacturing overhead*

StandardCommercial

4.005.00

Total manufacturing cost

StandardCommercial

.$16.00$19.00

Variable selling and administrative costs

StandardCommercial

$ 4.00$ 7.00

*Depreciation charges are 50 percent of the xed manufacturing overhead of each line.

The following schedule reflects the consensus of top management regarding the price-volume alternatives for the Super Clean products for the last six months of the current year. These are essentially the same alternatives management had during the first six months of the year.

Standard Compound (cases)Commercial Compound(cases)

Alt Prices--Sales VolAlt Prices--Sales Vol

$18 .... 120,000 ...................$25 ..........175,000

20 ....100,000 ...............27 .......140,000

21 ....... 90,000 ..............30 ........100,000

22 ....... 80,000 ....32 ....... 55,000

23 ........50,00035 ......35,000

Gargantuans top management believes the loss for the first six months reflects a tight profit margin caused by intense competition. Management also believes that many companies will leave this market by next year and profit should improve.

Required:

1.What unit selling price should Gargantuan Industries select for each of the Super Clean compounds for the remaining six months of the year? Support your selection with appropriate calculations.