In Washburn's factory, what is the break-even point for the new line of guitars if the retail price is (a) $349, (b) $389, and (c) $309? Also, (d) if Washburn achieves the sales target of 2,000 units at the $349 retail price, what will its profit be?

a. 186 units

b. 156 units

c. 232 units

d. $370,000

Explanation:

a. Calculation to determine the break-even point for the new line of guitars if the retail price is $349

Using this formula

Break-even point quantity = Fixed cost / Unit price – Unit variable cost

Let plug in the formula

Break-even point quantity = ($14,000 + $4,000 + $20,000) / $349 – ($25 + $120)

Break-even point quantity= $38,000 / $349 - $145

Break-even point quantity= $38,000 / $204

Break-even point quantity= 186.27

Break-even point quantity= 186 units

Therefore the break-even point for the new line of guitars if the retail price is $349 will be 186 units

b. Calculation to determine the break-even point for the new line of guitars if the retail price is $389

Break-even point quantity = ($14,000 + $4,000 + $20,000) / $389 – ($25 + $120)

Break-even point quantity= $38,000 / $389 - $145

Break-even point quantity= $38,000 / $244= 155.74

Break-even point quantity = 156 units (Approximately)

Therefore Therefore the break-even point for the new line of guitars if the retail price is $389 will be 156 units

c. Calculation to determine the break-even point for the new line of guitars if the retail price is $309

Break-even point quantity=($14,000+$4,000+$20,000)/$309 – ($25 + $120)

Break-even point quantity= $38,000 / $309 - $145

Break-even point quantity= $38,000 / $164

Break-even point quantity= 231.71

Break-even point quantity = 232 units (Approximately)

Therefore the break-even point for the new line of guitars if the retail price is $309 will be 232 units

d. Calculation to determine what will its profit be

if Washburn achieves the sales target of 2,000 units at the $349 retail price

Using this formula

Profit = Total revenue – Total cost

Profit= (P x Q) – [FC + (UVC x Q)]

Let plug in the formula

Profit= ($349 x 2000) – [$38,000 + ($145 x 2,000)]

Profit= $698,000 – $328,000

Profit= $370,000

Therefore the profit will be $370,000

previous business sales - c.

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