1. Assume a total cost function c(q) = 750 + 5q. The inverse demand function that the firm %3! faces is p =285 - 4q, where prices and costs are measured in dollars. a. Let assume that the firm is required by law to set its production level q determined by price equal to its marginal costs. In another word, the firm is a perfect competitor. How much profit the firm will lose? b. Assume now that the firm can charge a monopoly price, what is the price going to be and what is the profits? Compare the profit level from question a and b and explain what cause the difference.
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- The information below applies to a competitive firm that sells its output for $45 per unit. When the firm produces and sells 100 units of output, its average total cost is $24.5.When the firm produces and sells 101 units of output, its average total cost is $24.65. Suppose the firm is currently producing and selling 100 units of output. Should the firm increase its output to 101 units? a. Yes, because the marginal revenue exceeds the marginal cost. b. Yes, because the marginal revenue exceeds the average total cost c. No, because the marginal cost exceeds the marginal revenue. d. No, because the average total cost exceeds the marginal revenue.Demand for microprocessors is given by P = 35 – 5Q , where Q is the quantity of microchips (in millions). The typical firm’s total cost of producing a chip is Ci = 5qi, where qi is the output of firm i. a) Does the typical microchip firm display increasing, constant, or decreasing returns to scale? What would you expect about the real microchip industry? In general, what must be true about the underlying technology of production for competition to be viable?JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. Suppose the situation changes. JointJuice has its plant in Portland Oregon. The local government passes a new tax on…
- Consider a homogeneous goods industry where two firms operate and the linear demand is given by p(y1 + y2 ) = a - b(y1 + y2 ), where p is the market price, and y1 (y2) is the output produced by firm 1 (2). There are no costs for firm 1 or firm 2. A. What is the industry output? B. Suppose the inverse demand curve in a market is D(p) =a-bp, where D(p) is the quantity demanded and p is the market price. Firm 1 is the leader and has a cost function c1(y1)=cy1 while firm 2 is the follower with a cost function c2(y2 )= y^22/2 (image of function attached). Firm 1 sets its price to maximise its profit. Firm 1 correctly forecasts that the follower takes the price leader’s chosen price as given (price taker) and chooses output so as to maximise its own profit. Write down the profit function of the follower. Calculate the profit maximising quantity that the follower selects given the leader’s chosen price p (i.e., calculate the follower’s supply curve S(p)). Interpret the solution to the…2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q2, and a marginal cost function: MC(q) = 10q. Market demand is given by equation Qd(p) = 200 - p. a. Solve for the short-run equilibrium outcome: P*, Q* and q*. b. What is one firm's economic profit in this market? c. Consider a different market structure, where there is only one firm, interpreted as a monopolist, and then critically discuss the impact on equilibrium price and quantity. Discuss total surplus for these two types of market structures.A profit-maximising firm faces a downward-sloping demand curve for its output and has marginal costs that increase with output. Show, on a single diagram, how its profit maximisation decision can be represented both in terms of a feasible set optimisation and its marginal revenue and marginal cost. Why is there a deadweight loss in this case?
- In a competitive market, the long-run demand is given by P = 20 - (0.01)*q Firms in the industry have as their cost structure the expression C = q3 - 5q2 + 10q. Determine: (a) equilibrium price b) Quantity produced-sold of the firm. c) What quantity is traded in the market? d) Over what time period does this market work? (short or long term?) e) What is the profit of the individual firm? f) What will be the behavior of the individual firm, will it exit or stay in the market?Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 1. Calculate the equilibrium price and output for each market. 2. How much is the total revenue in each market?Suppose Firm X is a dominant firm in a market where the market demand is Q = 1200 -2p. Once Firm X sets its price, those small competitors set their prices a little lower so that they can always sell up to their capacity. Assume the small firms’ combined capacity is 100 units. Further assume Firm X’s marginal cost is 50. Answer the following questions. Let Q^D be the quantity produced by the dominant firm. Write down the residual demand function faced by Firm X. (Hint: Think about how Q and Q^D are related.) Find Firm X’s profit-maximizing price.
- Suppose that a firm produces identical commodities and sell them in two separate markets charging two different prices. The demand for the commodity in two markets are (1) P1 = 100 - Q1 and (2) P2 = 80 - Q2, where P1 and P2 are the price of the product that the firm charges, while Q1 and Q2 are demand in each market. Suppose that the firm's cost of production is C(Q) = 6Q. (1) What is the firm's total profit function in terms of the quantity of output? How much should this firm sell each product in two separate markets to maximize total profits?Assume a competitive industry is initially at its long-run equilibrium, given the inverse market demand and supply functions:p = 25000 − 0.2qd ??? Qs = 5000 + 0.3qsIf all firm in this market have identical cost structures:a) How many firms operate in this market at this point? b) What is the profit maximizing quantity produced by each competitive firm?1) There are 1000 pear producers that have identical cost functions, where q is the number of crates of pear produced. The producers operate in a perfectly competitive market. The supply curve of each producer is _______ The total supply curve for the market is _______ At a price of 100, the elasticity of supply for the market is _______ , meaning that supply is _______. (see image for answer options) 2) A firm can sell its output at the price p=10 per unit. The firm’s cost function is C=16+q2 To maximize its profit, the firm chooses to produce q=___________. The profit of this firm is $_____________