There are two types of goat milk consumers in the market: Elves and Hobbits. Elves' inverse demand function is pe(g) = 10 – 8gE , and Hobbits' inverse demand function is pH(p) = 12 – 7gH - Suppose the market has only one goat milk producer, Dolf, whose cost function is C(q) = 4g. Dolf can easily tell the difference between Elves and Hobbits, and he can charge different prices for Elves and Hobbits respectively. What will Dolf's total profits be? Round your answer to 2 decimal points. Answer: 191 The correct answer is: 3.41
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- 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 )=. 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 profit maximising problem.Suppose the monthly demand for golf services at a golf club is given by the inverse demand function, P = 20 – Q. The marginal cost to the golf club for each round is €2. There are 10 customers with exactly the same inverse demand functions. The fixed costs of running the club are €500 a month. At the moment the golf club charges each person €11 per round and each person plays 9 rounds of golf a week. The unit price that the club should charge each player under an optimal two-part tariff is 4 2 162 11You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number—10 businesses and 10 academic institutions. Each business customer has the demand function: Q=14−P, where Q is in millions of seconds per month; each academic institution has the demand: Q=10−P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? (Round all answers to the nearest integer) For business users, the rental fee would be$720,000per month and the usage fee is 2 cents per second. For academic institutions, the rental fee would be $320,000 per month and the usage fee is 2 cents per second.…
- You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number—10 businesses and 10 academic institutions. Each business customer has the demand function: Q=14−P, where Q is in millions of seconds per month; each academic institution has the demand: Q=10−P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? (Round all answers to the nearest integer) For business users, the rental fee would be$720,000per month and the usage fee is 2 cents per second. For academic institutions, the rental fee would be $320,000 per month and the usage fee is 2 cents per second.…Use the photo at exercise 14 to solve the problem below With the Firm Y response function Qy=600-1/2Qx and the Firm X response function Qx=600-1/2Qy Imagine that firm X chooses their quantity first, then firm Y observes the quantity of firm X and chooses their own quantity. What quantities will they end up choosing? Is there a first or second-mover advantage here? [You may assume that firm X can only choose quantities that are multiples of 200. This prevents you from having to deal with prices that are not on the schedule. Also it means you've done all the busy work already--assuming you did the assignment last week.....and got it right. So this shouldn't require a lot of calculations, just a little thinking about how equilibrium works in a sequential-move game. Oh, and just give me the quantity for each firm, don't worry about giving me a complete strategy for firm Y.]PLEASE LOOK AT IT Use the photo at exercise 14 to solve the problem below With the Firm Y response function Qy=600-1/2Qx and the Firm X response function Qx=600-1/2Qy Imagine that firm X chooses their quantity first, then firm Y observes the quantity of firm X and chooses their own quantity. What quantities will they end up choosing? Is there a first or second-mover advantage here? [You may assume that firm X can only choose quantities that are multiples of 200. This prevents you from having to deal with prices that are not on the schedule. just a little thinking about how equilibrium works in a sequential-move game. Oh, and just give me the quantity for each firm, don't worry about giving me a complete strategy for firm Y.]
- Firm A and Firm B sell identical goods The total market demand is:Q(P) = 1,000-1.0P The inverse demand function is therefore: P(QM) = 10,000-10QM QM is total market production (i.e., combined production of firm’s A and B). That is: QM = QA + QB As a result, the inverse demand curve for each firm is: P(QA,QB) = 10,000-10QA-10QB The difference between this example and the example in class is that the two firms have different costs. Firm A has the same cost as in class, but firm B has a different cost function: TCA(QA) = 5000QA TCB(QB) = 5000QB Using the demand function and the cost functions above, what is firm A’s profit function? Using the profit function above and assuming that firm B produces QB, calculate what firm A’s best response is to firm B’s decision to produce QB. (Note: Firm A’s best response should be a function of QB) Using the demand function and the cost functions above, what is firm B’s profit function? Using the profit function above and assuming that firm A…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 (picture 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 profit maximising problem. The leader is facing the residual demand curve R(p)=D(p)-S(p) with D(p) and S(p) as defined in (c) above. Calculate the leader’s residual demand curve using the result in (c). Solve for p as a function of the leader’s output y1, i.e. the inverse demand function facing…If the demand function for a product is p = 9/(x + 1) and the supply function is p = 1 + 0.2x, find the consumer's surplus under pure competition. (Round your answer to the nearest cent.)
- Suppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by: STC = (q^2)+25 If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be? What is the firm’s short run producer surplus at P=20? Develop a general expression for this firm’s producer surplus as a function of the price of pirated DVD’s.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 profit maximising problem. B. The leader is facing the residual demand curve R(p)=D(p)-S(p) with D(p) and S(p) as defined in (c) above. Calculate the leader’s residual demand curve using the result in (b). Solve for p as a function of the leader’s output y1, i.e. the inverse demand…Consider an HMO with a demand curve of the following form: Q = 100 – 2 P. Suppose that its marginal and average costs were $20. If the firm maximizes profits, determine its price, output, and profits.