Assume the following inverted demand function of a firm in the short run: P = 20 - Q. Now assume the total cost function of this firm is : TC = 100 + 32Q - 4Q2 The above cost function yields the MC function as 32- 8Q (a). Calculate the profit maximizing price and quantity of this firm (Hint: First derive the MR function; then set MR=MC and solve) (b) Is this firm earning a profit or incurring a loss? What is the amount of short-run profit or loss? Explain fully. Show your work in this space?
Assume the following inverted demand function of a firm in the short run: P = 20...
38) Assume the following inverted demand function of a firm in the short run: P = 50 - .5Q. Now assume the total cost function of this firm is : TC = 50 + 100Q - Q2 The above cost function yields the MC function as 100- 2Q (a). Calculate the profit maximizing price and output of this firm. (Hint: Obtain the MR first). (b). Is this firm earning a profit or loss in the short run? Explain. Is this...
36.Assume a store sells good X and good Y. When the price of X was reduced from $18.00 to $10.00, the quantity of Y sold increased from 80 to 100. (a) Calculate the cross price elasticity of demand of X and Y. (b). Are the two goods substitute goods or complementary goods? Explain. (c). What does the coefficient of elasticity indicate? 37. Assume the following demand and supply equations: Qd: 182 - 50p Qs: 22 + 30p (a). Calculate the...
This is a price setting firm problem.(show all work) Demand Function: P=32-Q Total Cost Function: C=Q²+8Q+4 Profit maximizing price is.....? Profit maximizing quantity is......? Profit is......? Lerner Index Value is......? Price Elasticity of Demand is......? To maximize sales, this firm would change a price...... and sell a quantity of..........?
CLASS ASSIGNMENT Name Assume that the short run cost and demand data given in the table below confront a monopolistic competitor selling a given product and engaged in a given amount of product promotion. This firm's fixed costs are $500, and other costs are shown in the table below Qs VC ATC MC Od Price TR MR 17 375 17 49 18 400 18 48 19 427 19 47 20 456 20 46 21 487 21 45 a. Calculate the...
1. The demand for a firm’s product is estimated by the equation Q = 20 - P, and its total cost function is TC = Q2 + 8Q + 2. Marginal cost is MC = 2Q + 8, and marginal revenue is MR = 20 - 2Q. a. Given this information, what is the firm’s profit-maximizing output and price? b. What is the firm’s profit at this level of output? c. Is the firm operating in a perfectly competitive price...
1. (a). Define each of the four product markets with at least one example of each market. (b). Suppose you are a mid-level manager of a Corporation working in the Sales Department. What are the two most important aspects of the market you must keep track of? Explain fully. 2. Assume the following inverted demand function of a firm in the short run: P = 100 - 2Q. Obtain the MR function from this inverted demand curve. Now assume the...
A demand equation is Q = 270 - P. MR is described by the function 270 - 2Q. Total Cost is described by the function TC = 30 + 9Q. MC is constant at $9. Calculate the profit (or loss) at the profit maximizing quantity. Please ensure that you show detailed calculations.
Assume a firm's short-run total cost function is STC = (1/3)q3 – 4q2 + 22q + 100. a. Determine the output level at which it maximizes profits if p = 10. b. Is the firm earning a pure profit, normal profit or operating at a loss?
Assume that a monopolists Sells a product In the short - run with a total cost function - ST. Hoztoat2q² Q70 7 96 Q=0 The market demand curve is given by the equation PCG) = 70-8Q a) Find the marginal cost for the firm b) Find the profit - Maximizing out put and price (PQ) C) what are the mono po lists Profits ? d) Does the monopolist want to stay in businessa
8. Consider the following Demand (Price and Marginal Revenue) and Cost (Total and Marginal) relationships expressed as functions of Q: Price = P(Q) = 310 – 2Q TC = TC(Q) = 3500 + 70Q + Q2 MR = MR(Q) = 310 – 4Q MC = MC(Q) = 70 + 2Q a. What is the profit-maximizing level of output? What is the price at that level? b. Should the firm continue operating in the short run? In the long run? c....