Question
Brooke Motors is a small car dealership. On average it sells a car for $29,000, which it purchases from the manufacturer for $25,000. Each month,
Brooke
Motors is a small car dealership. On average it sells a car for
$29,000,
which it purchases from the manufacturer for
$25,000.
Each month,
Brooke
Motors pays
$66,000
in rent and utilities and
$78,000
for salespeople's salaries. In addition to their salaries, salespeople are paid a commission of
$900
for each car they sell.
Brooke
Motors also spends
$12,000
each month for local advertisements. Its tax rate is 40%.
Required
1. | How many cars must Brooke Motors sell each month to break even? |
2. | Brooke Motors has a target monthly net income of $76,500. What is its target operating income? How many cars must be sold each month to reach the target monthly net income of $76,500? |
Requirement 1. How many cars must
Brooke
Motors sell each month to break even?
Let's begin by determining the formula for the breakeven number of cars.
Breakeven number of cars | = | |
Brooke
Motors must sell
nothing
cars each month to break even. (Round the number of cars up to the nearest whole number.)
Requirement 2.
Brooke
Motors has a target monthly net income of
$76,500.
What is its target operating income? How many cars must be sold each month to reach the target monthly net income of
$76,500?
Next, determine the formula to calculate the target operating income.
Target operating income | = |
|
The target monthly operating income is
$nothing.
Finally, determine the formula to calculate the number of cars that are required to be sold.
Quantity of cars required to be sold | = |
|
Brooke
Motors would need to sell
nothing
cars to reach the target monthly net income of
$76,500.
(Round the number of cars up to the nearest whole number.)
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