Answer:
$66.7
Explanation:
Given that,
Regressing inventories on sales is as follow:
Inventories = $22.0 + 0.125(Sales)
Expected sales during the current year = $275 million
Expected growth rate of sales = 30% next year
The inventory forecast for the next year is calculated by substituting the above value of expected sales into the regression equation of inventories.
Expected sales next year:
= Current year sales(1 + Growth rate)
= $275 (1 + 0.3)
= $357.5
Inventory forecast for next year:
= $22.0 + 0.125(Sales)
= $22.0 + (0.125 × $357.5)
= $22 + $44.6875
= $66.6875 or $66.7