Final answer:
To reach the target profit, the company needs to sell 1,500 units.
Step-by-step explanation:
To calculate the number of units that need to be sold in order to reach the target profit, we need to use the formula:
Target profit = (Selling Price per Unit - Variable Costs per Unit) × Number of Units - Fixed Cost per Unit × Number of Units
Given that the target operating income is $300,000, the selling price per unit is $450, the variable costs per unit is $150, and the fixed cost per unit is $100, we can calculate:
300,000 = (450 - 150) × Number of Units - 100 × Number of Units
Re-arranging the equation, we get:
450 × Number of Units - 150 × Number of Units - 100 × Number of Units = 300,000
Combining like terms, we have:
200 × Number of Units = 300,000
Dividing both sides by 200, we find:
Number of Units = 300,000 / 200
Number of Units = 1,500
Therefore, the company needs to sell 1,500 units in order to reach the target profit.