Final answer:
We cannot determine the number of sandals to sell for the target profit without specific financial figures such as sales price and variable expenses. For the incremental approach decision, Angie should not convert the part-time to full-time as the costs outweigh the increased revenue.
Step-by-step explanation:
To determine how many pairs of sandals must be sold to attain a target profit of $19,500, one must use the formula for calculating the break-even point in units, which is the sum of fixed costs plus target profit divided by contribution margin per unit. The calculation for Angie's Sandal Shop would look like this:
Number of pairs needed = (Total fixed expenses + Target profit) / Contribution margin per pair
Unfortunately, key information such as the sales price per pair of sandals, variable expenses per pair, and contribution margin per pair are missing in the provided data. Therefore, without these figures, it is impossible to provide the exact number of pairs that must be sold.
Concerning whether Angie should convert the part-time position to a full-time position based on an incremental approach, she would compare the incremental costs with the incremental revenue. To evaluate:
Incremental Cost = Additional cost to convert part-time to full-time
Incremental Revenue = Increase in sales expected from conversion
The decision would be favorable if the incremental revenue surpasses incremental costs. In the provided scenario:
Incremental Cost = $59,000
Incremental Revenue = $26,000
Since the incremental cost is higher than the incremental revenue, it would not be advisable for Angie to convert the part-time position to a full-time position as it would not increase overall profitability.