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Page 340, Case 47: Solving for unknown; cost-volume-profit and budget analysis (adapted from a problem by D.O. Green). A partial income statement of IBN Corporation

Page 340, Case 47:

Solving for unknown; cost-volume-profit and budget analysis (adapted from a problem by D.O. Green). A partial income statement of IBN Corporation for Year 0 follows. The company uses just-in-time inventory, so production each year equals sales. Each dollar of finished product produced in Year 0 contained $0.50 of direct materials, $0.33333 of direct labor, and $0.16667 of overhead costs. During Year 0, fixed overhead costs were $40,000. No changes in production methods or credit policies are anticipated for Year 1.

Partial Income Statement for Year 0
Sales (100,000 units at $10) $1,000,000
Cost of goods sold 600,000
Gross margin $400,000
Selling costs $150,000
Administrative costs 100,000 $250,000
Operating profits

$150,000

Management has estimated the following changes for Year 1:

  • 30% increase in number of units sold
  • 20% increase in unit cost of materials
  • 15% increase in direct labor cost per unit
  • 10% increase in variable overhead cost per unit
  • 5% increase in fixed overhead costs
  • 8% increase in selling costs because of increased volume
  • 6% increase in administrative costs arising solely because of increased wages

There are no other changes.

a. What must the unit sales price be in Year 1 for IBN Corporation to earn a $200,000 operating profit?

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