Deborah Lewis,general manager of the Northwest Division of Berkshire Enterprises,has significant authority over pricing decisions as well as programs that involve cost reduction/control.The data that follow relate to upcoming divisional operations:
Average invested capital: $15,000,000
Annual fixed costs: $3,900,000
Variable cost per unit: $80
Number of units expected to be sold: 120,000
Required:
A.A 14% return on investment will require the Division to produce income of $2,100,000 ($15,000,000 * 14%).If X = selling price,then:
120,000X - (120,000 * $80)- $3,900,000 = $2,100,000
120,000X - $9,600,000 - $3,900,000 = $2,100,000
120,000X = $15,600,000
X = $130
A.Top management will promote Lewis if she can earn a 14% return on investment for the year.What unit selling price should she establish to get her promotion?
B.If X = fixed cost,then:
[($132 - $80)* 120,000] X - ($15,000,000 * 16%)= $200,000
$6,240,000 - X - $2,400,000 = $200,000
X = $3,640,000
To achieve her promotion,Lewis must reduce fixed costs by $260,000 ($3,900,000 - $3,640,000).
B.Independent of part "A," assume the unit selling price is $132 and that Berkshire has a 16% imputed interest charge.Top management will promote Lewis to corporate headquarters if her division can generate $200,000 of residual income.If Lewis desires to move to corporate,what must the division do to the amount of annual fixed costs incurred? Show your calculations.
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