Final answer:
The contribution margin per unit for Lindon Company is $16.80, the breakeven point in units is 2,441, the breakeven point in sales dollars is $136,696, and the sales level required to achieve a $10,000 monthly profit is $9,520,000.
Step-by-step explanation:
Lindon Company, an exclusive distributor of an automotive product, sells a unit for $56.00 and has a CM ratio of 30%. Let's go through each question step-by-step:
- To calculate the contribution margin per unit: Multiply the selling price by the CM ratio. $56.00 * 30% = $16.80 contribution margin per unit.
- To determine the breakeven point in units, divide the total fixed expenses by the contribution margin per unit. $41,000 / $16.80 = 2,440.48, rounded to 2,441 units.
- To calculate the breakeven point in sales dollars, multiply the breakeven point in units by the selling price per unit. 2,441 units * $56.00 = $136,696.
- Determine the sales level (in dollars) required to achieve a monthly profit of $10,000: First, add the desired profit to the fixed expenses to find the total required sales at the contribution margin. ($41,000 + $10,000) / 30% = $170,000. Then, calculate the required sales level by multiplying the total required sales at the contribution margin by the selling price. $170,000 * $56.00 = $9,520,000.
- Calculating the margin of safety in dollars: