Question

Jasper Furnishings has $225 million in sales. The company expects that its sales will increase 10% this year. Jasper'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 = $15 + 0.245(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? Write out your answer completely. For example, 5 million should be entered as 5,000,000. Do not round intermediate calculations. Round your answer to the nearest dollar.

Answer 1

Answer:

$75,637.5

Explanation:

Sales = $225 million

Growth in sales = 10%

Inventory = $15 + 0.245(Sales)

(sales) S1 = $225,000,000 × 1.10

   = $247,500,000

Inventory = $15 + 0.245 ($247.5)

                = $15 + 60.6375

                = 75.6375

Since this relationship is expressed in thousands of dollars,

Inventory = $75.6375 x $1000

                = $75,637.5