Final answer:
To achieve a target pretax income of $183,500, you need to analyze the budgeted income statement provided and use the formula: Number of Units = (Target Pretax Income + Fixed Costs) / Unit Contribution Margin.
Step-by-step explanation:
To compute the number of units that must be sold in order to achieve a target pretax income of $183,500, you need to analyze the budgeted income statement provided. The statement shows that the firm's total costs, including both fixed and variable costs, are $856,500. The pretax income is $133,500.
To achieve the target pretax income, we can set up the following equation:
Total Revenues - Total Costs = Target Pretax Income
Substituting the given values, we have:
$990,000 - $856,500 = $183,500
To isolate the number of units to be sold, we can use the formula:
Number of Units = (Target Pretax Income + Fixed Costs) / Unit Contribution Margin
In this case, the Fixed Costs are $856,500 and the Unit Contribution Margin is the selling price minus variable costs per unit. The selling price per unit is given as $990,000 / 55,000 units, and the variable costs per unit are $856,500 / 55,000 units.
By plugging in these values, we can calculate the number of units that must be sold to achieve the target pretax income of $183,500.