The market price a perfectly competitive firm has to take is pm and the total cost to the firm is TC(Q)=aq+Bq2 +y , where y is fixed cost of the firm . Find the optimal output to the firm in terms of market price pm. Express also maximum profit. How does maximum profit depend on the market price and the level of fixed cost? All parameters are assumed to be positive.?

Scenario 15-2 The information below applies to a competitive firm that sells its output for $40 per unit. When the firm produces and sells 140 units of output, its average total cost is $24.5. When the firm produces and sells 141 units of output, its average total cost is $24.60. Refer to Scenario 15-2. Suppose the firm is producing 140 units of output and its fixed cost is $975. Then its variable cost amounts to O a. $9,360.25. O b. $2,455.00. O c. $3,430.00. O d. $7,500.00.

Suppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by: STC = (q^2)+25 If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be? What is the firm’s short run producer surplus at P=20? Develop a general expression for this firm’s producer surplus as a function of the price of pirated DVD’s.

A firm has a cost function of C = 1000 + 20Q + 1/10Q2a) Estimate the firm’s demand function. You may assume that the slope is a wholenumber, and the intercept is a multiple of 10. b) Find the firm’s revenue function. You do not need to draw it. c) Find the marginal revenue function, and draw it on a copy of the graph. d) Find and draw the marginal cost function.e) Use your results from parts (c) and (d) to find the profit-maximising level of output.(3 marks)f) Find the market price at this level of output.

The cost function for Acme Laundry is   ​C(q)=50+30q+q2​,   where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is​ p?

A noncompetitive firm has the following total cost function: TC = 3Q³ – 40Q² + 250Q + 900 If the demand function for the firm's product is P = 2000 – 40Q. Find the firm's profit maximizing level of output and profit.

A firm's demand and total cost function are given by the expression: P = 20 - Q/2         (1) TC = 0.5Q2 + 36  (2) Where P is price per unit in £ TC = total cost in £ Q is quantity demanded and produced. Find the profit-maximising level of output using the profit function and calculate how much profit is made at this output level.

Problem 2.5    The cost function for Acme Laundry is  TC(q) = 10 + 10q + q^2 so its marginalprod cost function is  MC(q) = 10 + 2q where q is tons of laundry cleaned.  Derive the firm's average cost and average variable cost curves.  What q should the firm choose so as to maximize its profit if the market price is p?  How much does it produce if the competitive market price is p = 50?

Consider the following cost function: Total Cost = 50+5Q^3 and demand curve Price= 5000-275*Q Given these functions, what would be the profit maximizing output?

A bookstore owner can sell 26 magazines at a price of $1.38 per magazine. If the price is $1.10, he can sell 30 magazines. The total cost to purchase x magazines is C(x) = 0.65x+7.75 dollars. Step 1 of 3: Assuming the demand function is linear, find an equation for D(x). Do not round your answer.