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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 52,000 parts in the coming year. While the demand for Williamss part has been growing in the past two 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 $ 4,676,000
Variable selling and administrative 851,650
Plant-level fixed overhead 2,341,875
Fixed selling and administrative 671,495
Batch-level fixed overhead 356,000
Total investment in product line 22,346,000
Expected sales (units) 52,000

1. Determine the price for the part using a markup of 37% of full manufacturing cost. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

2. Determine the price for the part using a markup of 21% of full life-cycle cost. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

3. Determine the price for the part using a desired gross margin percentage to sales of 36%. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

4. Determine the price for the part using a desired life-cycle cost percentage to sales of 21%. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

5. Determine the price for the part using a desired before-tax return on investment of 11%. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

6. Determine the contribution margin and operating profit for each of the methods in requirements 1 through 5. (Round your intermediate calculations to 3 decimal places.)

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 11%

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