Cost Accounting
Your company provides a variety of delivery services. Management wants to know the volume of a particular delivery that would generate $10,500 per month in operating profits before taxes. The company charges $20 per delivery.
The controller’s office has estimated overhead costs at $9,000 per month for fixed costs and $12 per delivery for variable costs. You believe that the company should use regression analysis. Your analysis shows the results to be:
Monthly overhead = $23,617 + $10.72 per delivery
Your estimate was based on the following data:
Month Overhead Costs Number of Deliveries
1 $142,610 11,680
2 151,850 12,430
3 192,660 15,910
4 141,160 11,500
5 203,990 13,030
6 180,540 14,980
7 159,530 12,760
8 183,970 15,310
9 194,580 15,700
10 150,220 12,220
11 154,240 12,880
12 185,150 15,550
13 183,160 14,830
The company controller is somewhat surprised that the cost estimates are so different. You have been asked to recheck your work and see if you can figure out the difference between your results and the controller’s results.
a. Perform a regression analysis in Excel to determine the regression coefficients for the data. (Round your final answers to 2 decimal places.)
b. Change the question to “Determine the amount of deliveries needed to earn operating profits of $10,500. (Round your intermediate calculations 2 decimal places. Roundup “unit” answer to the nearest whole number.)
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