Consider the firm's cost function 1 C(q : qʻ + 10q + 5 the demand function is QD 1700 – 50P. What is the long run equilibrium quantity and price?
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A: ANSWER
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A: TC=712+q2Now,AC=TCqAC=712q+q
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A: Given:P=90-Q4TC=1/4Q2-6Q+40 Now,TR=P×QTR=90-Q4×QTR=90Q-Q24
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A: The information given is:- C(q) = 50+0.5q+0.08q2 MC=0.5+0.16q.
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A: Given, P1 = $1600 P2 = $1200 MC1 = 2Q1 + Q2 MC2 = 4Q2 + Q1
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A: Answers In the long run AC = MC = P. Hence we have P = 49/q + q = 2q which gives q = 7 units and…
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A: TC = 10+2Q2 Differentiate TC w.r.t Q to get MC => MC = dTC / dQ => MC = 4Q…
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A: Given Total cost function in short run: C(q)=q3-2q2+2q+10 .........(1)
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- A firm has a linear demand function for it's product.When the price of the product is sh.20,the quantity demanded is 40 units.When the price increases to sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is giving by: Mc = 40q- 2q^2+2 Fixed cost = 5 million Where q= quantity demanded,Mc = marginal cost(sh.million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at the maximum profitSuppose the (inverse) demand for a firm’s product is given by P = 10−2Q and the cost function is C(Q) = 2Q What is the profit-maximizing level of output and price for this firm?A firm has a linear demand function for it's product.When the price for the product is Sh.220,the quantity demanded is 40 units.When the price increases to Sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is given by; MC = 40Q-2Q^2+2 Fixed cost = Sh. 5 million Where Q= quantity demanded, Mc= marginal cost(cost in Sh. Million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at a maximum profit
- A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (d) How many laundry sinks will the company need to produce in order to maximise it′s profits?A firm sells its product in a perfectly competitive market. Its total cost function is: TC = 900 - 20Q + Q2where TC is total cost and Q is output level.a. Find the firm’s average total cost function. b. Find the firm’s average variable cost function. c. Find the firm’s marginal cost function. d. Given the price is $100, what is the profit-maximizing output level? e. Given the price is $100, what is the profit level? f. Over time, is there going to be entry or exit in this competitive market? Why?A competitive firm has following SHORT RUN cost function: C = 4 + 2q3- 4q2 + 20q Answer:(a) Obtain in a table average total cost (ATC), average variable (AVC) and marginal costs (MC). Plot on a graphb) In what price interval will firm offer zero output? Identify on your graphc) Identify the supply curve in graphd) At what price will firm offer exactly 8 units?
- Q 1. (B) A firm's demand function is Q = 16 - P and its total cost function is defined as TC = 3 + Q + 0.25Q2 Use these two functions to form the firm's profit function and then determine the level of output that yields the profit maximum. What is the level of profit at the optimum?For a firm’s product, the demand function is p =72−0.04q and the average cost function is i. ¯ c = 500 q +30 i. At what level of output would profit be maximized? ii. ii. Atwhat price is the profit maximized?Suppose that the long run cost function of a price taking firm is given byC(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?)
- 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.?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.A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.
