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Regression and inventories Charlie\'s Cycles Inc. has $150 million in sales. The

ID: 2716261 • Letter: R

Question

Regression and inventories

Charlie's Cycles Inc. has $150 million in sales. The company expects that its sales will increase 5% this year. Charlie's CFO uses a simple linear regression to forecast the company's inventory level for a given level of projected sales. On the basis of recent history, the estimated relationship between inventories and sales (in millions of dollars) is as follows:

Inventories = 14 + 0.1010(Sales)

Given the estimated sales forecast and the estimated relationship between inventories and sales, what are your forecasts of the company's year-end inventory level? Enter your answer in millions. For example, an answer of $25,000,000 should be entered as 25. Round your answer to two decimal places.
$    million

What are your forecasts of the company's year-end inventory turnover ratio? Round your answer to two decimal places.

Explanation / Answer

solution sales     150,000,000 projected sales (150000000x1.05)     157,500,000 year end Inventories = 14 + 0.1010(Sales)        15,150,014 year-end inventory turnover ratio                  10.40 sales / inventory = 157500000/15150014