Final answer:
To find the total cost of producing 17,600 items with a production cost of $6 per item and $242,000 in start-up costs, the correct formula ($6 \times 17,600) + $242,000 must be used, yielding a total cost of $347,600.
Step-by-step explanation:
The given expression for the total cost to produce q products appears to be incomplete. Based on the initial information provided, the cost to produce each item is $6, and there are start-up costs of $242,000. If we correct the expression, it should be $6q + $242,000 to find the total cost for producing q items. Thus, to calculate the cost to produce 17,600 items, we use the correct formula:
Total Cost = ($6 \times 17,600) + $242,000
Performing the calculations:
Total Cost = ($105,600) + $242,000
Total Cost = $347,600
Therefore, it will cost the company $347,600 to produce 17,600 items.