1. Suppose a company has demand function given by q = 220- 4p and a cost function C(q) = 1525 + 12q. At what price the profit is maximized? At what price there will be no profit? Show all steps Hint: Revenue = p x q Where p is price and q is the quantity profit = Revenue – cost
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- Suppose a firm is operating in a competitive market and is maximizing profit by producing at thepoint where marginal revenue 5 marginal cost.Now suppose that consumer wealth decreasesin this market (and the good is a normal good).What might you expect to happen to the profitmaximizing output quantity for the firm?Assume that the marginal revenue equals rising marginal cost at 100 units of output. At this output level, a profit-maximizing firm's total fixed cost is $700 and its average variable costs are $5. If the price of the product is $4 per unit and the firm produces the profit-maximizing level of output, How much profit firm will earn ?a. Are the following statements true or false? Explain your reasons. For a firm with price in excess of average total cost, the presence of economic profits implies that the firm should increase output in the short run even if price is below marginal cost. If marginal cost is rising with increasing output, average cost must also be rising. Fixed cost is the same at each output level except when no output is produced. When a firm produces no output, there are no fixed costs. b. Allsmart’s demand curve is given by Q=10-P for its dishwashers. The marginal and average cost is $3 per dishwasher produced. Complete the following table.
- 5. The daily demand for rooms at a motel is given by P=100-2Q. Assume that the motel has 40 rooms. 5a. If total variable costs of running this motel are zero, find the price that maximizes profit and find the number of rooms rented at that price. Remember that profit is total revenue (i.e., TR = PQ) less total cost (i.e., the sum of variable costs and fixed costs). 5b. If the incremental cost of renting a room is $9 (i.e., the cost of paying the maid to clean the room, the cost of providing clean towels, the cost of the little pieces of chocolate that is placed on the bed, etc. is $9), find the price that maximizes profit and the number of rooms rented at that price.A Milton company works in perfect competition market, its total cost curve in short run is given in this function: TC = 200 − 4Q + 0.5Q2 a. What output level should the firm produce to maximize profit? knowing that averagerevenue is $10. b. What is the firm profit at this level of output?>>>>>>>>>>>>>>>>>>>>>>>>>>>>Suppose the production function for high quality brandy is given by : Q = √KLWhere q is the output of brandy per week and L is labor hours per week ., in the short run K is fixed at 100, so the short run production function is Q = 10√L a. If the capital rents for 10$ and the wage are 5$per hour ., write the short run total cost function. b. How much will the firm produce at a price of 20$ per bottles of brandy ? c. How many labor hours will be hired per week?…A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.
- c) Assume that the market price for bagel services is 42 and store produces 30 units of the bagel. Calculate theprofit level. Is the store profit maximizing? Explain your answer. d) Go back to part c) and assume that there are 100 identical bagel store in the market. Determine the market supply curve. (You will obtain total market quantity, Q, as a function of price,P). Are elasticities of individual firm supply and market supply curves different? e) Given the market supply curve you have calculated in part d), now assume that market demand forhairdressers are given by Q=2900-50P. Find the equilibrium price and quantity in the market. Does the marketequilibrium correspond to long-run equilibrium? ExplainCan you help with this question and show all the step please. Consider a manufacturer making leather cases with a market demand function (weekly) given by P=95-Q/Q+1 +5, where Q is the number of leather cases. (A) Show that this function is consistent with the law of Demand (i.e. that when Q increases, P decreases). (B) The manufacturer has weekly fixed costs of $20 and variable costs of $5 per leather case. Formulate the profit function from this information. (C) Locate the stationary points and determine the optimal Q that maximises the profit. (Use the first derivatives test to classify any stationary point).Faye is an entrepreneur considering whether to enter the market for providing websites to universities offering online learning. The market is currently perfectly competitive, and the market-clearing price is $10,000 per client. Her marginal cost is given by the equation MC = 200Q. a. In this market, what is Faye’s marginal revenue function? b. If Faye enters the market, how many website clients will she have, and what will her profit be? You can assume no fixed cost. Now imagine Faye asks you for advice. She knows you have just taken this course, and you learned about market power. c. Explain two ways Faye can achieve greater market power in this market. Faye takes your advice, and she is now the monopolist in a new market, where the demand curve is given by Q = 300,000 – 1,000P d. What is Faye’s new marginal revenue curve? e. In this new market, how clients will she have, and at what price will she sell her services? Now imagine you see all the profits Faye is making and you decide…
- Suppose that each firm in a competitive industry has thefollowing costs: Total cost: TC=50 + 1/2q^2 Marginal cost: MC=q where q is an individual firm’s quantity produced. The marketdemand curve for this product is Demand: QD = 120 – P where P is the price and Q is the total quantity of the good.Currently, there are 9 firms in the market. a. What is each firm’s fixed cost? What is its variable cost?Give the equation for average total cost. b. Graph average total cost curve and the marginal cost curvefor q from 5 to 15. At what quantity is average total cost curve atits minimum? What us marginal cost and average total cost at thisquantity? c. Give the equation each firm’s supply curve. d. Give the equation for the market supply curve for the shortrun in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market inthe short run? f. In this equilibrium, how much does each firm produce?Calculate each firm’s profit or loss. Is there incentive for…A manufacturing firm faces the cost of production as follows : Quantity Total Fixed Costs Total Variable Costs 0 $ 100 0 1 $ 100 $ 40 2 $ 100 $ 60 3 $ 100 $ 80 4 $ 100 $ 130 5 $ 100 $ 190 6 $ 100 $ 350 (a) Calculate the company's average fixed costs, average variable costs, average total costs,, and marginal costs at each level of quantity larger than zero (b) Suppose the price of the firm's product is $ 90, what is the firm's optimal production quantity? What is the firms profit under this quantity?In a price-taker market, if a business produces efficiently (i.e., that is, where marginal revenues = marginal costs), the firm will be able to make at least a normal profit. True of False. Explain. All firms produce where MR=MC. Price takers produce and price where P=ATC=MC=MR. That is the "normal profit" level. Profits above that level are considered "economic profits." Review economic profits, normal profits, explicit costs, and implicit costs. Why is 'normal profit' considered to be a cost, in economics?