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Sales = Output TVC ($) 102,813 176,163 196,121 222,885 226,356 296,416 378,446 4

ID: 1177195 • Letter: S

Question

Sales = Output

TVC ($)

102,813

176,163

196,121

222,885

226,356

296,416

378,446

450,666

579,696

607,082

624,680

636,133

201,953

340,608

377,940

432,863

441,714

629,267

867,596

1,103,807

1,701,125

1,917,861

2,195,352

2,479,195

a.       Using regression analysis, find an equation that best fits the data to represent the TVC function.

b.      At what sales/output level will marginal costs (MC) reach a minimum?

c.       Estimate the value of TVC for sales/output level 250,000 units, and calculate the 95% confidence interval for your estimate.

Sales = Output

TVC ($)

102,813

176,163

196,121

222,885

226,356

296,416

378,446

450,666

579,696

607,082

624,680

636,133

201,953

340,608

377,940

432,863

441,714

629,267

867,596

1,103,807

1,701,125

1,917,861

2,195,352

2,479,195

Explanation / Answer

This solution shows a regression output on sales and variable costs for Four Winds Novelty Company. The problem includes data analysis based on the monthly internet sales and total variable costs. The regression analysis has been done with the Excel Data Analysis tool, with explanations on how to interpret the output data. The solution also shows how to find the minimum level of marginal cost (MC) and to predict a 95% confidence level of sales on a particular level of variable costs using the regression equation.

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