Garden Corporation uses cost-plus pricing with a 30% mark-up. The company is currently selling 12,000 units at $21.45 per unit. Each unit has a variable cost of $11.50. In addition, the company incurs $60,000 in fixed costs annually. If demand falls to 10,000 units, how much will the company have to charge per unit in order to earn the same annual profit

$23.44

Explanation:

The computation of profit charge per unit for earning same annual profit is shown below:

Given that

No of Units Sold =       12,000

Sale Price of each Unit   = $21.45

Variable Cost     = 11.50

So,

Contribution Per Unit is

= Selling price per unit - variable cost per unit

= $21.45 - $11.50

= $9.95

So,

Total Contribution  is

= 12,000 units × $9.95

=  $119,400

And,

Fixed Costs for the year is $60,000

So, the Profit for the year is

= Contribution margin - fixed cost

= $119,400 - $60,000

= $59,400

Now If the demand for the product falls to 10,000 Unit  

So we assume Number of units expected to be sold is10,000

Since Variable cost Per Unit  is 11.50

So, the Total Variable Cost is

= 10,000 units × $11.50

= $115,000

And,

Fixed Cost per annum  $60,000

Expected Profit        $59,400

So, the total amount is

= $115,000 + $60,000 + $59,400

= $234,400

So, the price per unit charged is

= $234,400 ÷ 10,000 units

= $23.44

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