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How many units does Caitlin need to sell to breakeven?

January 5, 2022
Christopher R. Teeple

Question #1 The Caitlin Corporation sells only one product. The following is budgeted information for that product:
Annual production and sales capacity (units)              30,000
Budgeted selling price                                                $30 per unit
Variable cost of goods sold                                        $8 per unit
Fixed manufacturing costs                                          $50,000
Variable selling and administrative costs                    $4 per unit
Fixed selling and administrative costs                         $40,000
Caitlin’s corporate tax rate is 40%.
a)     How many units does Caitlin need to sell to breakeven?
b)    How much revenue does Caitlin need to generate to breakeven?
c)     How many units does Caitlin need to sell to earn an operating profit (before taxes) of $135,000?
d)    How much revenue does Caitlin need to generate to earn net income (after taxes) of $140,400?
e)    Assume Caitlin is currently producing and selling 20,000 units. By what percentage will operating income change if sales increase by 15% from 20,000 units? Be sure to provide figures to justify your answer.
f)     Assume Caitlin is currently producing and selling 20,000 units. By what percentage will operating income change if sales decrease by 10% from 20,000 units? Be sure to provide figures to justify your answer.
Question #2
A production company is planning to sell tickets to a show for $25 each. It budgets variable costs to be $5 per attendee. Total fixed costs are estimated to be $100,000. The theatre can accommodate up to 4,000 people because of safety concerns. What should the production company do? Why? Be specific in your response.
Question #3
The following is budgeted information for the Samantha Corporation:
Product   1
Product   2
Annual production &   sales
70,000
30,000
Projected selling price
$24
$32
Direct Production Cost   Information
Materials (per unit)
$8
$10
Direct Labor (per unit)
$2
$4
Additional information:
Selling & administrative costs (a mixed cost)      are budgeted to be $960,000 at the production and sales listed above. The      variable component is $3 per unit (same for each product).
Manufacturing overhead costs (a mixed cost) are      budgeted to be $550,000 at the production and sales listed above. The      fixed component is $150,000. Each product uses the same amount of variable      manufacturing overhead per unit.
Assuming the budgeted sales mix remains intact, how many units of each product does Samantha need to sell in order to break even?

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