Final answer:
The average total cost (ATC) of producing 10 units is calculated by first finding the total cost using the corrected cost function C(Q) = 50 + Q + 2Q^2 and then dividing by the number of units. The ATC is found to be $26 per unit.
Step-by-step explanation:
The question asks for the calculation of the average total cost (ATC) of producing 10 units, given the cost function C(Q) = 50 - Q + 2Q^2. To find the ATC, we first need to calculate the total cost for 10 units and then divide this by the quantity of units produced (10). The cost function provided seems to have a typo; the correct form should be C(Q) = 50 + Q + 2Q^2, as the current form would lead to the illogical conclusion of costs decreasing as output increases. Assuming the corrected formula, the total cost for producing 10 units is:
C(10) = 50 + 10 + 2(10)^2 = 50 + 10 + 2(100) = 50 + 10 + 200 = 260.
Now to find the ATC:
ATC = Total Cost / Quantity
ATC = 260 / 10 = 26.
Therefore, the average total cost of producing 10 units is $26 per unit.