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Williams Inc. produces a single product, a part used in the manufacture of automobile transmissions. Known for its quality and performance, the part is sold

Williams Inc. produces a single product, a part used in the manufacture of automobile transmissions. Known for its quality and performance, the part is sold to luxury auto manufacturers around the world. Because this is a quality product, Williams has some flexibility in pricing the part. The firm calculates the price using a variety of pricing methods and then chooses the final price based on that information and other strategic information. A summary of the key cost information follows. Williams expects to manufacture and sell 55,000 parts in the coming year. While the demand for Williamss part has been growing in the past 2 years, management is not only aware of the cyclical nature of the automobile industry, but also concerned about market share and profits during the industrys current downturn.

Total Costs
Variable manufacturing $ 4,670,000
Variable selling and administrative 845,650
Facility-level fixed overhead 2,335,875
Fixed selling and administrative 665,495
Batch-level fixed overhead 350,000
Total investment in product line 22,340,000
Expected sales (units) 55,000

1. Price for the part using a markup of 41% of full manufacturing cost = $188.58

2. Price for the part using a markup of 21% of full life-cycle cost = $195.07

3. Price for the part using a desired gross margin percentage to sales of 41% = $226.68

4. Price for the part using a desired life-cycle cost margin percentage to sales of 26% = $217.86

5. Price for the part using a desired before-tax return on investment of 15% = $222.15

Determine the total contribution margin and total operating profit for each of the methods in requirements 1 through 5.

(Round your intermediate calculations to 4 decimal places and final answers to the nearest whole dollar amount.)

Method Contribution Margin Operating Profit
Markup on full manufacturing cost
Markup on life cycle costs
Price to achieve desired GM %
Price to achieve desired LCC %
Price to achieve desired ROA of 15%

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