Where n = number of patients200n = 30n + 25000000 + 0200n - 30n = 25000000170n = 25000000n = 25000000/170n = 147058.8235n = 147059
The company will have to sell 147059 units to achieve break even.
The first strategy is to set a selling price of $170 with annual fixed costs at $20,000,000
Income Statements
Variable Costing (contribution)
Units
150000
Sales (150000 x $170)
$25,500,000
Total Variable Costs
4,500,000
Contribution Margin
21,000,000
Total Fixed Costs
20,000,000
Operating Income
$1,000,000
Income Statements
Variable Costing (contribution)
Units
180000
Sales (150000 x $170)
$30,600,000
Total Variable Costs
5,400,000
Contribution Margin
25,200,000
Total Fixed Costs
20,000,000
Operating Income
$5,200,000
Income Statements
Variable Costing (contribution)
Units
200000
Sales (150000 x $170)
$34,000,000
Total Variable Costs
6,000,000
Contribution Margin
28,000,000
Total Fixed Costs
20,000,000
Operating Income
$8,000,000
The second strategy is to increase spending on advertising and promotions and set a selling price of $200. With the higher selling price the annual fixed costs would increase to $25,000,000.
Income Statements
Variable Costing (contribution)
Units
150000
Sales (150000 x $170)
$30,000,000
Total Variable Costs
4,500,000
Contribution Margin
25,500,000
Total Fixed Costs
25,000,000
Operating Income
$500,000
Income Statements
Variable Costing (contribution)
Units
180000
Sales (150000 x $170)
$36,000,000
Total Variable Costs
5,400,000
Contribution Margin
30,600,000
Total Fixed Costs
25,000,000
Operating Income
$5,600,000
Income Statements
Variable Costing (contribution)
Units
200000
Sales (150000 x $170)
$40,000,000
Total Variable Costs
6,000,000
Contribution Margin
34,000,000
Total Fixed Costs
25,000,000
Operating Income
$9,000,000
The company can achieve the target profit of $4,000,000 at the level of 180000 and 200000 units. The probability of 180000 units is higher; therefore it is more likely the company will achieve the situation.
The company should go ahead with the new product.
Usefulness
Yes this type of analysis can be useful for large projects because break-even point defines what should be the volume of sales to break even venture to work, could cover all its costs, without receiving profit. In turn, both a change in revenue is growing earnings shows operating leverage (operational leverage). Break-even point is of great importance to the issue of the viability of the company and its solvency. Thus, the degree of excess of sales over the break-even point defines the stock of financial strength (stability margin) business (Maskell, 2003). The break-even point of the tools used in ...