A bike repair shop charges the competitive market price of $9 per bike repaired (P=$9). The firm's cost is given by C(Q) =Q³/3. Which of the following is NOT TRUE? O The revenue at the optimal quantity is 27. O None of the above. O The total cost at the optimal quantity is 9. O The maximized profit is 18. O The quantity that maximizes profit is q=3.
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- Suppose firm A’s total cost function is given by c(q) = 3q^2 + 95. If the equilibrium price is $24, what is the profit maximizing quantity of output? (a) 4 units (b) 2 units (c) 0 units (d) 6 units (e) 10 unitsYann's bakery operates in a perfectly competitive market where the prevailing price for a baguette (his only product) is $3. If Yann's marginal cost function is given by MC=0.1q: (i) Yann's profit-maximizing level of output is _____ (ii) Yann's variable profit is _____ (iii) The producer surplus is _____ (iv) If Yann also has a fixed cost of $50, then his total profit is _____ . (v) Assuming Yann cannot avoid the fixed cost, Yann should (continue to produce/shut down).The soluation avilible I believe it is wrong so please solve it carefully Carl and Simon are the only sellers of pumpkins at the market, where the total demand function for pumpkins is q =3 ,200−1,600p. The total number of pumpkins sold at the market is q = qC + qS, where qC is the number that Carl sells, qS is the number that Simon sells. The cost of producing pumpkins for each farmer is $.50 per pumpkin; the fixed costs are zero. .a. Find the Cournot equilibrium price and quantities. .b. Find the Bertrand equilibrium price and quantities. . .c. Suppose now that every spring the snow thaws off of Carl’s pumpkin field a week before it thaws off of Simon’s. Therefore, Carl can plant his pumpkins one week earlier than Simon while predicting Simon’s choice based on the previous year information. Simon observes Carl’s choice and chooses how much pumpkin to plant. Find the new equilibrium price and quantities. .d. Compare the quantities and prices in parts a, b, and c. Rank these outcomes…
- Exercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by q = 31 -0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following the scenario: iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate the surplus of the consumer, the surplus the producer and represent graphicallyExercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by q = 31 -0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following the scenario: iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate, for the 4 scenarios proposed (i) (ii) (iii) and (iv), the surplus of the consumer, the surplus the producer, represent graphically and indicate: a) Which scenario is the most…Fred Co. is the only producer in the market. The market demand curve and total cost curve are given as: Q = 240 -0.25P, and TC = 50Q -0.5Q2. To maximize profit, Fred BCo. will produce
- 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.You are running a chocolate factory and need to decide on the price to sell the chocolate as well as the quantity to produce. Demand curve; Q = 8.5 - 0.05 * P. The cost curve is C = 100 + 38Q. The business is a profit maximizer. 1) What is the best price to charge each week? 2) What is the best quantity to make each week? 3) What are the expected profits Is it possible to get this in an excel with equation formulasSuppose a firm’s inverse demand curve is given by P = 120 - .5Q and its cost equation is C = 420 + 60Q + Q2. a. Find the firm’s optimal quantity, price, and profit (1) by using the profit and marginal profit equations and (2) by setting MR equal to MC. Also provide a graph of MR and MC. b. Suppose instead that the firm can sell any and all of its output at the fixed market price P 120. Find the firm’s optimal output.
- The inverse market demand curve for gascolators is P = 2, 000 - 4Q where Q is the quantity of gascolators and Pi and Sense produce gascolators at a constant marginal cost of 80 . If Banner charges a price of $80 and Sense charges $80, Sense’s quanuty sold isElsie sells homemade lemonade. If she prices a glass of lemonade at $3, she sells 12 glasses a day. If she gives a $0.50 discount (per glass), she can sell 3 more glasses per day. Write a linear demand equation q = mp + b, where p is the price per glass, and q is the number of glasses she can sell per day. Suppose that it costs her 20 cents a glass to make lemonade. There is no fixed cost. Write down the revenue function, cost function, and profit function as functions of p. How much should she charge per glass to maximize her profit? What is the maximum profit?Lily's bakery operates in a perfectly competitive market where the prevailing price for a pumpkin (her only product) is $3. If Lily's marginal cost function is given by MC=0.1q: (i) Lily's profit-maximizing level of output is _______ (ii) Lily's variable profit is _______ (iii) The producer surplus is _______ If Lily also has a fixed cost of $50, then: (iv) her total profit is _______ Assuming Lily cannot avoid the fixed cost, should Lily continue to produce orshut down?