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Serenity Living manufactures gas fireplaces for home use. Each unit produced goes through a complex quality control process. The company has observed quality control costs

Serenity Living manufactures gas fireplaces for home use. Each unit produced goes through a complex quality control process. The company has observed quality control costs as follows over the past six weeks:

Week Units Produced Total Quality Control Costs
1 27 $ 570
2 18 $ 460
3 33 $ 620
4 15 $ 420
5 21 $ 540
6 30 $ 600

For planning purposes, the companys management wants to know the amount of variable quality control costs per unit and the total fixed quality control costs per week.

Required:
1.

Using the least-squares regression method, estimate the variable and fixed elements of the quality control cost. (Round variable cost to 2 decimal places.)

2.

Express the cost data in requirement 1 above in the form Y = a + bX. (Round variable cost to 2 decimal places.)

3.

If the company produces 23 gas fireplaces next week, what are the expected total quality control costs?(Round intermediate and final value to 2 decimal places.)

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