The inverse demand for a drug that treats melanoma is given by p = 3,000 – 10q, where q measures the number of drug treatments and p is the price per treatment. suppose that the marginal cost per drug treatment is constant at $10. what is the profit-maximizing price per drug treatment?

Profit-maximizing price per drug treatment is $2,000

Explanation:

The "cost of production" (cost of providing all treatments) is given by the area under the cost curve

(The cost curve is the straight line C = 10Q)

It is a right triangle with one side being the quantity (Q) and the other being the cost of the last unit being produced (10Q)

So the cost of production is:

Revenue is given by P * Q = (3,000 - 10Q) * Q

Profit = Revenue - Cost of production = 3,000Q - -

To find maximum, take derivative and solve for:

3,000 - 30Q = 0 => Q = 100

Profit-maximizing quantity is 100. The price will then be P = 3,000 - 10*100 = $2,000

answer; ///after donning a gown, mask and eyewear;

answerthe above statement is (true);