Final answer:
To find the desired ROI per pair of shoes, divide the total investment by the planned production and sales and the value is $65.60 per pair.
Step-by-step explanation:
To find the desired ROI per pair of shoes, we need to calculate the total investment in the shoes and divide it by the planned production and sales.
The total investment includes both fixed and variable costs. In this case, the fixed costs are $160,000 for manufacturing and $120,000 for selling and administrative expenses, which sum up to $280,000.
The variable costs are $32,000 for manufacturing and $16,000 for selling and administrative expenses, which sum up to $48,000.
Therefore, the total investment is $280,000 + $48,000 = $328,000.
Since the desired ROI is 50%, we can calculate the desired ROI per pair of shoes by dividing the total investment by the planned production and sales: $328,000 / 5,000 pairs = $65.60 per pair.