Sensitivity Analysis: Videos & Practice Problems
Sensitivity Analysis: Changing Price
Sensitivity Analysis: Changing Price
Whenever a business lowers their sales price, we expect that their break-even point after the change will be:
Higher than the original break-even point.
The same as the original break-even point.
Lower than the original break-even point.
Fill in the blanks. D- Education is a private school that has \$1,000,000 in fixed costs per year and spends \$5,000 per student in variable costs. If their tuition is \$10,000 per year, their breakeven point would be ____________ and, if they raised their tuition to \$15,000 per year, their breakeven point would be ____________.
200 students; 200 students.
400 students; 200 students.
200 students; 100 students.
100 students; 50 students.
Sensitivity Analysis: Changing Variable Costs
Sensitivity Analysis: Changing Variable Costs
Whenever a business’ variable costs rise, we expect that their break-even point after the change will be:
Higher than the original break-even point
The same as the original break-even point
Lower than the original break-even point
Fill in the blank. D- Education has \$1,000,000 in fixed costs per year and spends \$5,000 per student in variable costs. Their tuition is \$10,000 per year. If their variable costs increased to \$7,500 per student, their breakeven point would be ____________.
100 students
200 students
400 students
800 students
Sensitivity Analysis: Changing Fixed Costs
Sensitivity Analysis: Changing Fixed Costs
Whenever a business’ fixed costs rise, we expect that their break-even point after the change will be:
Higher than the original break-even point.
The same as the original break-even point.
Lower than the original break-even point.
Fill in the blanks. Super Sweet Candy produces licorice at the costs given in the table. Their break-even point is ____________ and would change to ____________ if their fixed costs rose to \(15,000.
5,000 units; 7,500 units.
5,000 units; 10,000 units.
10,000 units; 7,500 units.
10,000 units; 10,000 units.
Here's what students ask on this topic:
Sensitivity analysis in CVP analysis examines how changes in key business variables like sales price, variable cost, or fixed cost affect important profit-planning measures. It helps managers understand the impact of shifting one decision or an external change on contribution margin per unit, contribution margin ratio, and break-even point. For example, if the sales price decreases, the contribution margin per unit and ratio decrease, causing the break-even point to increase. This analysis is crucial for decision-making because it shows how sensitive a business’s profitability is to changes in costs or prices.
When the sales price changes, it directly affects the contribution margin per unit and the break-even point. The contribution margin per unit is calculated as , where SP is sales price and VC is variable cost. If the sales price decreases, the contribution margin per unit decreases, meaning less money is available to cover fixed costs. As a result, the break-even point, calculated as , increases because more units must be sold to cover fixed costs. Conversely, increasing the sales price raises the contribution margin and lowers the break-even point.
An increase in variable costs reduces the contribution margin per unit since . Higher variable costs mean less money remains from each sale to cover fixed costs. This reduction in contribution margin also lowers the contribution margin ratio, calculated as . Consequently, the break-even point increases because the business must sell more units to cover fixed costs. This relationship highlights the importance of controlling variable costs to maintain profitability.
Changes in fixed costs affect only the break-even point, not the contribution margin per unit or ratio. The break-even point is calculated as , where FC is fixed costs and CM is contribution margin per unit. If fixed costs increase, the break-even point rises because more units must be sold to cover the higher fixed costs. Conversely, if fixed costs decrease, fewer units are needed to break even. This makes fixed cost changes the simplest form of sensitivity analysis since only one variable changes.
Sensitivity analysis is important because it helps managers understand how changes in sales price, variable costs, or fixed costs impact profitability and break-even points. By analyzing these effects, managers can make informed decisions about pricing strategies, cost control, and production levels. For example, knowing that a small decrease in sales price can significantly increase the break-even point alerts managers to potential risks. Similarly, understanding how rising variable costs affect profitability helps in budgeting and cost management. Overall, sensitivity analysis provides valuable insights for planning and risk assessment.
