Suppose that the long run cost function of a price taking firm is given by C(q)=12+3q2+3q. Solve the profit maximization problem of the firm and find the firm's supply function. Draw the firm's supply function and average variable cost function on the same graph. Clearly show which is which.  Find the profit function of the firm. What is this a function of? (What are its arguments?)

Sketch a marginal cost curve for a firm that has constant marginal costs of production up to its capacity of 500 units but which cannot increase its output beyond that capacity PLEASEE SHOW THE CURVE

COnsider the following firm in a competitive market: total cost= 50+.5Q     Q= Quantity What is its fixed cost? what is its variable cost?

On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results.   Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________.   Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.

A perfectly competitive firm has the following total cost function TC=10+20². The price is given at P=4. What is the optimal quantity for this firm? The optimal production is Q=1 B The optimal production is Q=2 This firm should not produce since it incurs in losses for the optimal production D The optimal production is Q=4.

2. A firm has a cost function of C = 1000+20Q + 1/10Q2 and has a demand function as shown in the graph below: 100 90 80 70 70 60 60 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 Quantity (Q) -P (demand) a) Estimate the firm's demand function. You may assume that the slope is a whole number, and the intercept is a multiple of 10. (1 mark) b) Find the firm's revenue function. You do not need to draw it. (2 marks) c) Find the marginal revenue function, and draw it on a copy of the graph. (3 marks) d) Find and draw the marginal cost function. (3 marks) 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. (2 marks)

A10

A catering company producing fruit ice, in the Tandy school, has a production function q = 10min(k,l), where k is capital and 1 is labor. a. 15% If v = 81000 and w = 500 and P = 8600, where v, w, and P are as per the lecture notes, how many units of fruit ice will be produced and how much profit will be obtained? b. 10% Draw the supply curve for this catering company.

Profit maximization using total cost and total revenue curves Suppose Caroline runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the market price is $20 per shirt.     The following graph shows Caroline's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for shirts quantities zero through seven (inclusive) that Caroline produces.         Caroline's profit is maximized when she produces______ shirts. When she does this, the marginal cost of the last shirt she produces is ______, which is (GREATER OR LESS)   than the price Caroline receives for each shirt she sells. The marginal cost of producing an additional shirt (that is, one more shirt than would maximize her profit) is _____, which is  (GREATER OR LESS)  than the price Caroline receives for each shirt she sells. Therefore, Caroline's profit-maximizing quantity corresponds to the…

Glowglobes are produced by identical firms in a perfectly competitive market. There are 19 firms in the market. Each firm's Total Cost function is TC=396+2q+q^2 and Marginal Cost function is MC=2+2q. Market demand is Q=484-P.  What is the profit earned by each firm in the short-run?