Question

In: Accounting

Given the following information: Selling Price (per unit): $10,000 Variable Costs (per unit): $7,000 Fixed Costs:...

Given the following information:

Selling Price (per unit): $10,000

Variable Costs (per unit): $7,000

Fixed Costs: $200,000

Required

Each of these are separate situations:

  1. What is the break-even point in total sales in dollars?
  2. How many units need to be sold to make a profit of $20,000?
  3. How many units need to be sold to make a profit of $20,000 if fixed costs increase from $200,000 to $250,000?
  4. How many units would they need to sell if they wanted to double profit, if the current number of units sold is 200?

Solutions

Expert Solution

Requirement A

Answer--------$666,666.67 or $666,667

Working

A Sale Price per unit $           10,000.00
B Variable Cost per Unit $             7,000.00
C=A - B Unit Contribution $             3,000.00
D Total Fixed cost $        200,000.00
E=D/C Breakeven point in units                             67
F= E x A Breakeven in sales dollars $        666,666.67

Requirement B

Answer--------73 units are required to be sold

Working

A Sale Price per unit $           10,000.00
B Variable Cost per Unit $             7,000.00
C=A - B Unit Contribution $             3,000.00
D Total Fixed cost + Desired Income $        220,000.00
E=D/C Units to be sold to earn desired Income                             73

Requirement C

Answer--------90 units are required to be sold

Working

A Sale Price per unit $           10,000.00
B Variable Cost per Unit $             7,000.00
C=A - B Unit Contribution $             3,000.00
D Total Fixed cost + Desired Income $        270,000.00
E=D/C Units to be sold to earn desired Income                             90

.

Requirement D

Answer--------For doubling profit they need to sell 80 units but since already 200 units are sold company is getting profit of more than 40000.

A Sale Price per unit $           10,000.00
B Variable Cost per Unit $             7,000.00
C=A - B Unit Contribution $             3,000.00
D Total Fixed cost + Desired Income (200000+40000) $        240,000.00
E=D/C Units to be sold to earn desired Income 80

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