approximates the dollar cost of producing x units of a product. The manu- facturer believes it cannot make a profit when the marginal cost goes beyond $210. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production?

The question is incomplete. The complete question is :

A manufacturer believes that the cost function :  approximates the dollar cost of producing x units of a product. The manu- facturer believes it cannot make a profit when the marginal cost goes beyond $210. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production?

Solution :

Given the cost function is :

Now, Marginal cost =

So, if the marginal cost = $ 210, then the manufacturer also makes a profit and if it goes beyond $ 210 than the manufacturer cannot make a profit.

Therefore, we have to equate :

So when x = 45, then C(x) = $ 8042.5

Therefore, the manufacturer to 45 units and This leads to a total cost of $ 8042.5

answer; ( prices are sticky);

answer the amount a seller is paid minus the cost of production;