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- A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.The Zinger Company manufactures and sells a line of sewing machines. Demand per period (Q) for a particular model is given by the following relationship:Q = 400 − .5Pwhere P is price. Total costs (including a "normal" return to the owners) of producing Q units per period are:TC = 20,000 + 50Q (a) Express total profits (π) in terms of Q. (b) At what level of output are total profits maximized? What price will be charged? What are total profits at this output level? (c) What model of market pricing has been assumed in this problem? Justify your answer.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?
- Suppose that the industry demand curve is given by the following quantity demanded = 100 – 0.5 output. In equilibrium, the market price is equal to 6 pesos per unit. q TR MR TFC TVC TC AC AVC AFC MC Profits 0 10 1 5 2 3 3 2 4 1 5 2 6 3 7 4 8 5 9 6 10 7 11 8 Assuming that the firm operates in a perfectly competitive market, supply the missing values in the table above. You may use a spreadsheet program to compute the values but must provide a step-by-step…Suppose you are the marketing manager for Fruit of the Loom. An individual's inverse demand for Fruit of the Loom women's underwear is estimated to be P = 25 − 3Q (in cents). If the cost to Fruit of the Loom to produce an item of women's underwear is C(Q) = 1 + 4Q (in cents), compute the profit Fruit of the Loom will earn by charging the optimal block price. a. $108.50 b. $0.73 c. $1.37 d. $136.50The total cost function of one of the firms is expressed by C(Q) = 100 + 4Q2, and demand is P = 80 – 4Q Find the equilibrium price and total quantity that the industry produces. Suppose that Jollibee successfully acquired McDonalds through a hostile takeover. What would be the new equilibrium price and quantity if MR = 80 – 4Q? Is this hostile takeover beneficial?
- 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 two gas stations in a remote village facing the simple linear market demand Q = 300 - 5P, but have different marginal costs of production, both constant, such that MCx = 20 and MCy = 10. Find: if gas station y decided to produce 175 units, (a) what would be the reaction of gas station x, and (b) how would y, in turn, react to that level of output of x?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?
- I need to second half answered. 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. - answers for first half JointJuice is a prepackages supplement-producing firm. Suppose…Suppose that Sony Corporation has developed a new all in one, easy to use, big screen computer / TV (‘BCTV’). This BCTV is unique in the market and Sony estimates that the demand for this new BCTV is: P = 13 – Q, where P is in thousands of dollars and Q is in thousands of BCTVs. The total cost of producing the BCTV is given by TC = 2 + 7Q where TC is in thousands of dollars. Samsung is considering entering the same market with its own BCTV and faces the same cost curve as Sony. Currently Sony has the capacity to produce 2000 units (i.e., Q = 2). Sony is considering whether to expand its capacity to produce 4000 units (i.e., Q = 4). This would double fixed costs for Sony. Samsung would enter the market with 2000 units of capacity if they entered the market. Both firms plan to use all of their capacity and sell at the resulting market price. a. Construct the payoff matrix for this game b. Does either firm have a dominant strategy? c. What is the Nash equilibrium? d. If Sony…The market demand and supply function for Pizza in New Town were: Qd = 10,000 – 100P Qs = - 2,000 + 100P A. Determine the equilibrium price and quantity of the Pizza. B. Plot the market and demand curves, label the equilibrium point E, and draw the demand curve faced by a single Pizza shop in this market on the assumption that the market is perfectly competitive. Show also the marginal revenue of the firm on the figure. C. If the total cost function of the firm is TC = 500 + 2Q + Q2, determine the price-quantity combination that will maximize the firm’s profit. D. Determine the profit. What adjustments should be anticipated in the long run?
