For the cost function C(Q) = 75 + 4Q + 2Q2, the marginal cost of producing 5 units of output is:
Variable cost = 4Q + 2Q^2
Marginal cost is the differentiation of variable cost with respect to Q
Marginal cost = 4 + 4Q
When Q= 5
Marginal cost = 4 + 4(5)= 24
For the cost function C(Q) = 75 + 4Q + 2Q2, the marginal cost of producing...
Suppose a firm's cost function is C (q) = 2q2 + 8. i) The variable cost is? a) q2 b) 2q2 c) 2 d) 2q ii) The average fixed cost is? a) 2q2 b) 8 c) 2q d) 8/q iii) The average total cost is? a)2q2 b) 2q c) 2q + 8/q d) 8/q iv) The average variable cost is? a) 2q2 b) 2q c) 8 d) 2q + 8/q vi) The marginal cost is? a) 2q2 b) q2 c) q...
Suppose the cost function for a firm is given byC(Q) = 60 + 4Q+ 2Q2.(a)If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $20, what level of output should the firm produce to maximize profits or minimize losses?(b)What will be the level of profits or losses if the firm makes the optimal decision?(c)After you’ve worked the problem, reconsider the original situation (with price of $20) but with...
The total cost of producing Q units of output to a monopolist is TC(Q) = 2Q2. The market demand is given byQ= 10−2P. (a) What are the total revenue and marginal revenue functions (b) What price should the monopolist set to maximize its profit? Illustrate your answer on a graph.
For the cost function C(Q) = 100 + 15Q the total cost of producing 5 units of output is 75 and the marginal cost of the sixth unit is 15 175 and the marginal cost of the sixth unit is 15 75 and the marginal cost of the sixth unit is 100 none of these answers are correct
A monopolist with total cost function C(Q) = 500 + 2Q2 (and marginal cost function of MC = 4Q) faces a market demand function of QD = 600 – 2P. Is the monopolist operating in the short run or the long run? What answer explains this difference and how you know whether the firm is operating in the long or short run? The firm is operating in the short run. This is because the cost function doesn't contain a variable...
A competitive firm's cost of producing q units of output is C = 18 + 4q + q^2 Its corresponding marginal cost is MC = 4 + 2q. a. The firm faces a market price p = $24. Create a spreadsheet with q = 0, 1, 2, ..... 15, where the columns are q, R, C, VC, AVC, MC, and profit. Determine the profit-maximizing output for the firm and the corresponding profit. Should the firm produce this level of output...
Suppose a firm's cost function is C (q) = 2q2 + 8. The output q that minimizes average total cost is: (Hint: At the minimum of the ATC, ATC is equal to MC) a)4 b) 2 c) 0 d) 8
A firm produces a product in a competitive industry and has a total cost function (TC) of TC(a) 60+4q+2q2 and a marginal cost function (MC) of MC(q) = 4 + 4q. At the given market price (P) of $20, the firm is producing 4.00 units of output. Is the firm maximizing profit?V What quantity of output should the firm produce in the long run? The firm should produce unit(s) of output. (Enter your response as an integer.)
Suppose that a firm’s cost function is given by: C(q)=4q. If the market price is $10, then the firm’s profit from producing and selling 200 units is? $1100 $1000 $1300 $1200 $1400
need help with 5 and 6
Suppose a perfectly competitive firm's cost function is C(q)-4q*+16. Marginal cost for the firm is given by MC=8q. 1) Find equations for variable cost, fixed cost, average total cost, average variable cost and average fixed cost for this firm. Illustrate on a graph the firm's average variable cost curve, average total cost curve, and marginal cost curve. 2) Find the outputs that minimize average total cost, average variable cost and average fixed cost. 3)...