A monopolist faces two separate markets and can price discriminate accordingly. The demand in the first market is Q1 = 342p, and the inverse demand in the second market is P, = 244 – 4Q2. The total cost of production is e(Q) = 2.4(Q, + Q2). Answer the following: If rounding is needed, write your answers to 3 decimal places. a) Find the profit maximising price for the first market. b) Find the profit maximising price for the second market.
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- A monopolist faces two separate markets and can price discriminate accordingly. The demand in the first market is Q1 = 345p, and the inverse demand in the second market is P = 439 – 4Q2. The total cost of production is c(Q) = 1.5(Q1 + Q2). Answer the following: If rounding is needed, write your answers to 3 decimal places. a) - Find the profit maximising price for the first market. b)i Find the profit maximising price for the second market.Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a ▼. Therefore, a monopolist will Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal- revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR). Price 10 9 CO 7 6 S E 2 0 -2 Demand Search percentage than the rise in price, causing profit to produce a quantity at which the demand curve is elastic. Marginal Revenue 86 Inelastic Demand e + Max TR C ? (CC Speaker/Headph AAssume a monopolist produces rum and knows there are two groups of rum consumers, 1 and 2, with different price elasticities. Group 1 is highly price elastic with E1=-10; Group 2 exhibits a lower price elasticity of E2=-2.5. Assume the company can separate these two groups (e.g., by handing out special ID cards) and can charge two different prices. If P2=$14, how much can it charge to Group 1?
- Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=813-7p, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 7 Q What is the profit maximizing price for this monopolist? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, total revenue would (DECREASE OR INCREASE) and total cost would(DECREASE OR INCREASE) . Therefore, a monopolist will (SOMETIMES, ALWAYS, NEVER) produce a quantity at which the demand curve is inelastic. Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal-revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR).Mighty Cleaners, Inc, is a monopolist in the specialised cleaning industry. Its cost is C = 220 - 4Q + Q2 and demand is P = 180 - 3Q, where Q is the number of hours of cleaning they provide and P is the price per hour of cleaning they charge. Find the optimal price P and output Q. What would be its profit? Please round your final answers to two decimal places, if necessary. For example, type in 12.5 for quantity, 2.34 for price and 300.78 for profit. • the optimal output (the number of hours of cleaning) is 45 hours. • the optimal price is $ 45 • the profit is 0
- For a monopolist firm the demand and the total cost functions are given as Q = 20- 0.5P and TC= 4Q2-8Q+15, respectively. (8 marks) Find a) the optimum quantity and the optimum price level and the profit/loss on these levels b) at what price should the monopolist shut down? c) Show the economic profit (loss) of the firm in a graphic representationConsider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a percentage than the rise in price, causing profit to Therefore, a monopolist will produce a quantity at which the demand curve is elastic. Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal- revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR). (? 10 Demand Inelastic Demand 6 5 Max TR 3 2 1 -1 -2 Marginal Revenue -3 -4 1 2 3 4 5 7 8 9 10 QuantityAssume quantities need not be integers. Assume a profit maximizing monopolist with marginal cost MC(Q) = Q and fixed cost equal to $2 faces demand MWTP(Q) = 20 - 2Q. Assuming it must charge the same price for each unit it sells, what price does it choose? Round to two decimal places and do not enter the currency symbol. If your answer is $1.125, enter 1.13.
- Show why the optimal third-degree price discrimination requires that marginal revenue for each group of consumers be equal to marginal cost. Based on this principle, a) Suppose it decreases (moves inward), the demand of a group of consumers and explain how the price and production in each of the markets change when the marginal cost of the monopolist is increasing. b) Represent graphically.Total costs for a monopolist are defined as: C(q) = q3 + 1 Hence, marginal costs are: MC(q) = 3q2 If market demand is: P(q)=100 - 10q. a) How much is the monopolist going to produce? b) Provide a graphical representation of your results. c) If the monopolist could discriminate prices perfectly, how would your answers to a) and b) change.Babydrink is a monopolist due to its patent in infant formula. The total cost for production in dollars is given by C(q) = 24q2 + 600q +9600. a) What is the fixed cost? b) Find a function that gives the marginal cost. c) Find a function that gives the average cost. d) Find the efficient scale (that minimizes the average cost). e) Verify it is the most efficient not the least efficient.