AF
Answered
Henning Co. estimates that variable costs will be 70% of sales and fixed costs will total $2160000. The selling price of the product is $10 and 750000 units will be sold.
Instructions
Using the mathematical equation
(a) Compute the break-even point in units and dollars.
(b) Compute the margin of safety in dollars and as a ratio.
(c) Compute net income.
On Jun 15, 2024
(a)
Break-even sales in units
$10X=$7X+$2,160,000$3X=$2,160,000X=720,000 units \begin{aligned}\$ 10 X & =\$ 7 X+\$ 2,160,000 \\\$ 3 X & =\$ 2,160,000 \\X & =720,000 \text { units }\end{aligned}$10X$3XX=$7X+$2,160,000=$2,160,000=720,000 units
Break-even point in dollars X=.3X+$2,160,0003X=$2,160,000X=$7,200,000\begin{array}{c}\text { Break-even point in dollars } \\X=.3 X+\$ 2,160,000 \\3 X=\$ 2,160,000 \\X=\$ 7,200,000\end{array} Break-even point in dollars X=.3X+$2,160,0003X=$2,160,000X=$7,200,000
(b)
Margin of safety in dollars $7,500,000−$7,200,000=$300,000 Margin of safety ratio $300,000÷$7,500,000=4%\begin{array}{l}\text { Margin of safety in dollars }\\{\$ 7,500,000-\$ 7,200,000}=\$ 300,000 \\\\\text { Margin of safety ratio }\\{\$ 300,000 \div \$ 7,500,000}=4 \%\end{array} Margin of safety in dollars $7,500,000−$7,200,000=$300,000 Margin of safety ratio $300,000÷$7,500,000=4%
(c)
Net Income Sales $7,500,000 Variable Costs (5,250,000) Fixed Costs (2,160,000) Net Income $90,000\begin{array}{lc}\text { Net Income }\\\text { Sales } & \$ 7,500,000 \\\text { Variable Costs } & (5,250,000) \\\text { Fixed Costs } & (2,160,000) \\\quad \text { Net Income } & \$ 90,000\end{array} Net Income Sales Variable Costs Fixed Costs Net Income $7,500,000(5,250,000)(2,160,000)$90,000