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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 57,000 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 $ 4,666,000
Variable selling and administrative 841,650
Facility-level fixed overhead 2,331,875
Fixed selling and administrative 661,495
Batch-level fixed overhead 346,000
Total investment in product line 22,336,000
Expected sales (units) 57,000

Required:

1. Determine the price for the part using a markup of 33% of full manufacturing cost.

Price per unit

2. Determine the price for the part using a markup of 23% of full life-cycle cost.

Price per unit

3. Determine the price for the part using a desired gross margin percentage to sales of 44%.

Price per unit

4. Determine the price for the part using a desired life-cycle cost margin percentage to sales of 30%.

Price per unit

5. Determine the price for the part using a desired before-tax return on investment of 11%.

Price per unit

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

Makeup on full manufacturing cost contribution margin operating profit

Makeup on life cycle costs contribution margin operating profit

Price to achieve desired GM% contribution margin operating profit

Price to achieve desired LCC% contribution margin operating profit

Price to achieve desired ROA of 11% contribution margin operating profit

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