Question

In: Accounting

Monthly fixed cost: 10 000,- Variable cost: 15,-/customer Volume: 1 500 customers per month Price: 25,-/customer...

Monthly fixed cost: 10 000,-

Variable cost: 15,-/customer

Volume: 1 500 customers per month

Price: 25,-/customer

When business started, there came only 800 customers/month.

However, fixed cost was only 5000,-.

a)Break-even?

b)Profit?

c)How much should the price be to reach the original target in this situation with 800 customers?

Solutions

Expert Solution

Requirement (a)

Answer---Breakeven in units = 500 units

Breakeven in Dollars= $12,500

Working

A

Sale Price per unit

$           25.00

B

Variable Cost per Unit

$           15.00

C=A x B

Unit Contribution

$           10.00

D

Total Fixed cost

$     5,000.00

E=D/C

Breakeven point in units

500.00

F= E x A

Breakeven in sales dollars

$   12,500.00

Requirement (b)

Answer---$3,000

Income Statement

Sales (25*800)

$   20,000.00

Variable Cost (15*800)

$   12,000.00

Contribution margin

$     8,000.00

Fixed Cost

$     5,000.00

Income

$     3,000.00

Requirement (c)

Answer—$ 27.50

Original target

Sales (1500*25)

$ 37,500.00

Variable Cost (1500*15)

$ 22,500.00

Contribution margin

$ 15,000.00

Fixed cost

$ 10,000.00

Net income

$    5,000.00

A

Fixed cost to be recovered

$     5,000.00

B

Variable cost to be recovered (800*15)

$   12,000.00

C

Profit to be earned

$     5,000.00

D=A+B+C

Total revenue

$   22,000.00

E

Number of customers

800

F=D/E

Price to be charged

$           27.50

Alternative solution for part C is also given below assuming $10000 fixed cost.

B

Variable cost to be recovered (800*15)

$   12,000.00

C

Profit to be earned

$     5,000.00

D=A+B+C

Total revenue

$   27,000.00

E

Number of customers

800

F=D/E

Price to be charged

$           33.75


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