(1 pt) The following table gives the cost and revenue, in dollars, for different

production levels, q. Answer the questions below.
q 0 100 200 300 400 500 600
R(q) 0 540 1080 1620 2160 2700 3240
C(q) 650 915 985 1115 1270 1870 2605

At approximately what level of production q, is the profit maximized?
Round your answer to the nearest 100.
Answer: ___ units

To find the level of production at which the profit is maximized, we need to calculate the profit for each production level q and determine the value of q that corresponds to the highest profit.

The profit at any given production level q can be calculated as:

Profit(q) = Revenue(q) - Cost(q)

Looking at the given table, we have the revenue R(q) and cost C(q) for different production levels q. We can calculate the profit for each production level by subtracting the cost from the revenue.

Let's calculate the profit for each production level:

q 0 100 200 300 400 500 600
R(q) 0 540 1080 1620 2160 2700 3240
C(q) 650 915 985 1115 1270 1870 2605

Profit -650 -375 95 505 890 830 635

From the profit values, we can see that the highest profit is 890, which occurs at a production level of 400.

Therefore, at approximately 400 units of production, the profit is maximized.