At the profit-maximizing output level, the slopes of the revenue and total cost curves are not equal, that is; MR(y*) < MC(y*). Select one: True False
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- The figure deplcts the demand curve for Beautiful Cars, and the marginal cost and Isoprofit curves of the car manufacturer. The quantity and price at polnt E are (Q*. P*) - (30, 5,500). Suppose now that the firm Increases the price to 5,550 and chooses the corresponding level of output from the demand function at the new price. Based on this Information, whlch of the following Is correct? 8,000 Demand curve 100 Quantity of cars, O O The firm will sell 30 cars at the higher price. O The firm's profit remains the same. O The quantity of cars produced reduced. O Tho firm's profit is now incroasod Price, Marginal cost ($)11.2 The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100 + 36x − 0.01x2. (a) Find the marginal cost function C'(x). C'(x) = Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears. $ per teddy bear Compare this with the exact cost of producing the 101st teddy bear (in $). The cost is increasing at a rate of $ per teddy bear. The exact cost of producing the 101st teddy bear is $ . Thus, there is a difference of $ . (b) Find the average cost function C, and evaluate C(100) (in $). C(x) = C(100) = $ per teddy bear What does the answer tell you? The average cost of producing the first hundred teddy bears is $ per teddy bear.Average and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale price per item if x items aresold. The profit P(x) of selling x items is P(x) = xp(x) - C(x)(revenue minus costs). The average profit per item when x items aresold is P(x)/x and the marginal profit is dP/dx. The marginal profitapproximates the profit obtained by selling one more item, given that x items have already been sold. Consider the following cost functions Cand price functions p.a. Find the profit function P.b. Find the average profit function and the marginal profit function.c. Find the average profit and the marginal profit if x = a units are sold.d. Interpret the meaning of the values obtained in part (c). C(x) = -0.02x2 + 50x + 100, p(x) = 100 - 0.1x, a = 500
- Assume a number of street vendors sell hamburgers in a city. Each vendor has a marginal cost of 30 NOK per hamburger sold and there are no fixed costs. The maximum number of hamburgers that any vendor can sell is 100 per day. a) If the market is perfectly competitive and the price of each hamburger is 40 NOK. How many hamburgers does each street vendor want to sell and what is each vendor’s profit per day assuming the desired quantity is sold?b) Why is this solution not a long run equilibrium?c) Suppose all the vendors merges and thus appears as a monopolist in the market. After merging marginal cost is constant. Make a diagram and explain the optimal solution for the monopolist.d) How can you explain that the solution from c) is such that the profit is maximized?e) Explain the social costs of the monopoly situation in this market. f) Suppose many consumers in this hamburger market became “addicted”. How would you explain this change in consumers demand and how would it affect social…A Los Angeles firm uses a single input to produce a recreational commodity according to a production function f(x)=4x1/2, where x is the number of units of input. The price of the commodity is $100 per unit, and the input cost is $50 per unit. The fixed costs are zero. A: Write down the firm’s profit function. C:Find the profit maximizing amounts of input and output. What is the maximum profit? C:Suppose that the firm is taxed at $20 per unit of its output (note it is a quantity tax) and the price of its input is subsidized by $10 per unit. What is the new input and output levels? What is the new maximal profit?A firm's unit cost of production is £15 per oulput good. Let P be the unit price of the output good and Q be the total output level. Which of the following statements is correct? Select one answer. O Point (Q, P) = (2,000, 20) is on the isoprofil curve representing the profit lovel £20,000. O Point (Q, P) = (2,000, 20) is on a lower isoprofit curve than point (Q, P) = (1,200, 25). O Points (Q, P) = (2,000, 20) and (4,000, 16) are on the samo isoprofit curve. O Point (Q, P) = (5,000, 15) is not on any isoprofit curve.
- The market price a perfectly competitive firm has to take is pm and the total cost to the firm is TC(Q)=aq+Bq2 +y , where y is fixed cost of the firm . Find the optimal output to the firm in terms of market price pm. Express also maximum profit. How does maximum profit depend on the market price and the level of fixed cost? All parameters are assumed to be positive.?Hi! Can you help me with the question below? Northside Social (NS) sells cups of coffee and amazing breakfast sandwiches. The current price of a cup of coffee is $3.00 and the current price of an amazing breakfast sandwich is $8.00. At those prices, NS sells 1000 cups of coffee and 200 breakfast sandwiches daily. NS faces a constant marginal cost for each cup of coffee of 50 cents and the constant marginal cost of breakfast sandwiches is $2. NS increases the price of coffee 5%, to $3.15. After the price increase, NS sells 900 cups of coffee, a decrease of 10% in cups of coffee. Demand for coffee at NS at this price interval is best described as:A) ElasticB) InelasticC) Unitary ElasticD) Perfectly ElasticA 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.
- Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*suppose that input prices are (w, r) >> 0 as before, and p > 0 is the price of the output good Y. (a) Formulate the firm's profit maximization problem.A firm's demand function is Q = 16 – P and its total cost function is defined as TC = 3 + Q +0.25Q 2 . Use these two functions to form the firm's profit function and then determine the level ofoutput that yields the profit maximum. What is the level of profit at the optimum?