360 315 270 225 180 135 90 45 S SMC MR D 0 1500 4500 7500 10500 The figure above shows the demand and cost curves facing a price-setting firm, 1) The profit-maximizing (or loss-minimizing) level of output is 2) In profit-maximizing (or loss-minimizing) equilibrium, the price-setting firm ears $ in total revenue, which is than the maximum possible total revenue of $ 3) in short run the maximum profit the firm can earn is $ Q ATC AVC
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- Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural resource. a. How should the analysis of the maximization of the discounted profits from selling this resource (Equation 17.63 be modified to take this fact into account? b. Suppose that the demand for the resource in question had a constant elasticity form q(t)=a[p(t)]b . How would this change the price dynamics shown in Equation 17.67? c. How would the answer to Problem 17.7 be changed if the entire crude oil supply were owned by a single firm?The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?For a firm with market power, what is the marginal revenue gained when one more unit of output is sold? Question 19Answer a. The price at which the extra unit is sold plus the rise in revenue from selling other units at a higher price b. The price of the unit of output sold minus the production cost of that unit c. The price of the unit of output sold d. The price at which the extra unit is sold less the drop in revenue from selling other units at a lower price
- c) Assume that the market price for bagel services is 42 and store produces 30 units of the bagel. Calculate theprofit level. Is the store profit maximizing? Explain your answer. d) Go back to part c) and assume that there are 100 identical bagel store in the market. Determine the market supply curve. (You will obtain total market quantity, Q, as a function of price,P). Are elasticities of individual firm supply and market supply curves different? e) Given the market supply curve you have calculated in part d), now assume that market demand forhairdressers are given by Q=2900-50P. Find the equilibrium price and quantity in the market. Does the marketequilibrium correspond to long-run equilibrium? ExplainQuestion 1: Given the following cost function:TC = 1500 + 15Q – 6Q2 + Q3i. Determine the total fixed cost for producing 1000 units of output and 500 units of output.ii. What is AFC at:a) 1000 units of outputb) 500 units of outputiii. Determine TVC, AVC, MC and AC at 50 units of output. Question 2: The demand function equation faced by PTCL for its computers is given by:P = 50,000 – 4Qi. Write the marginal revenue equationii. At what price and quantity marginal revenue will be zero?iii. At what price and quantity will total revenue be maximized? Question 3: Suppose the following demand and supply function:Qd = 750 – 25PQs = -300 + 20 Pi. Find equilibrium price and quantityii. Find consumer and producer surplus Question 4: Given production function:Q = L 3/4 . K1/4Find out the optimal quantities of the two factors using Lagrangian method, if it is given that price of labor is Rs.6 and price of capital is Rs.3 and total cost is equal to Rs.120.Question 5: Given the cost function isTC = 6L…What is the marginal revenue for the following: qty: 100, 200 Price:39750, 39500 Revenue:3975000, 7900000 Total Cost: 2000000,4000000 Profits: 1975000,3900000 Marginal Revenue ___?, ___? Suppose that managers at Honda are deciding how to price the new Honda Accord. The managers estimate that their total costs increase by $20,000 for each car they produce. They also estimate the demand curve they face; it is described by the equation: Q = -0.4 P + 16,000, where Q represents the quantity of Honda Accords they will sell and P represents the price they charge in US dollars. We can re-write that demand curve as: P = 40,000 - 2.5 Q. Take every possibly quantity that the managers might choose between 0 and 7,000 in units of 100. For each possible quantity, calculate the associated price the managers would need to charge, the revenue they would earn, and the total costs. You can then calculate profits for each level of quantity. Highlight the cell that contains the highest value of profit.…
- A price-taking firm in a competitive industry of a good that is continuously divisible (like sand) has a total cost function TC(Q) = 3.5Q^2 + 100Q + 500. The market price for the good is p = $240. a: Carefully write out this firm’s profit maximization problem, using the particulars of thisproblem. b: Give the marginal condition (equation) that characterizes the solution to this problem. Solvethis condition for the firm’s optimal quantity Q*. c: Calculate the firm’s maximized profit. d: On a graph with quantity on the horizontal axis, neatly plot the marginal revenue curve andmarginal cost curve. Show Q* on your graph. e: Label areas on your graph using a, b, c, etc. and indicate the areas that correspond to totalrevenue and variable cost.Given Question #1 Cost function C= 3000+6Q Q = 4400 - 200Q - This is the demand function Q= 1600 P = 14 Profit= 22400-12600 = 9800 Question #2 Q=$480 Q=$1120 Please answer Question #3 (A-E)Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.
- a. A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 60Q + 25,000. Assume that the firm maximizes profits. i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be the new level of production, price, and profit?A firm has the following total costs, where Q is output and TC is total cost: QTC0$ 1001110213031604200525063107380846095501065011760 Say the firm is in a perfectly competitive market. If the current market (equilibrium) price is $ 70, at what output level will the firm as a profit maximizer produce at? Say the market price rises to $ 100. At what output level (as a perfect competitor) will this produce at? How much profit is the firm making at a price of $90? Based on this calculation, do you expect firms to enter or leave this market? Say instead this firm is a monopoly. If the firm maximizes profit at an output level where marginal revenue equals $ 80, what output level will this be?Zelda’s Zippers, a purely competitive firm currently producing 50 units of output earns marginal revenues of $30 from each extra unit of output it sells. If it sells 60 units, then the product price would be A) $60B) $30C) $2D) indeterminate based on the information given.