Question
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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