If you are given the following total cost function and the demand equation as follows: TC = 40+ 50Q +5Q^2 P= 170 -5 Q where P is price level, Q is quantity sold and TC is total cost. The profit maximizing output level in the above model is:
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Q: determine the equilibrium price and quantity.
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- A firms marginal cost curve above the average variable cost curve is equal to the films individual supply curve. This means that every time a firm receives a price from the market it will be willing to supply the amount of output where the price equals marginal cost. What happens to the films individual supply curve if marginal costs increase?omly typed answer he cost of ingredients for a turkey sandwich at The Pit Room is $5, and the daily demand function for this sandwich is d(p) =1200 - 100p. What price should the seller charge to maximize its daily total contribution? Round your final answer to two decimal places.A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. ) If production increases continuously, what is likely to be the average cost per sink? How many laundry sinks will the company need to produce in order to maximise it′s profits? What is the maximum profit?
- Let a firm’s production function be f(K,L) = √2K1/2L1/2.a) Solve for the contingent demand functions for Kand L.b) Substitute the contingent demand functions in the total cost that you minimized in parta) to obtain the total cost function.c) Find the minimal amount of Kand Lnecessary to produce Q= 8 when v= 2 andw= 1 (with minimal possible cost).d) Suppose the price wincreases from 1 to 2. What happens to the demands for KandLand the total cost? e) Explain the difference in results between your answers to part d) in this question andthe previous question. Why do the impacts on demands and costs differ?Let a firm’s production function be f(K,L) = min{2K,L}.a) Solve for the contingent demand functions for Kand L.b) Substitute the contingent demand functions in the total cost that you minimized in parta) to obtain the total cost function.c) Find the minimal amount of Kand Lnecessary to produce Q= 8 when v= 2 andw= 1 (with minimal possible cost).d) Suppose the price wincreases from 1 to 2. What happens to the demands for KandLand the total cost?Break-Even The total revenue function for Frenchdoor refrigerators is given by R = 550x dollars, andthe total cost function for this same product is givenby C = 10,000 + 30x + x2, where C is measured indollars. For both functions, the input x is the numberof refrigerators produced and sold.a. Form the profit function for the refrigerators fromthe two given functions. b. What is the profit when 18 refrigerators areproduced and sold?c. What is the profit when 32 refrigerators areproduced and sold?d. How many refrigerators must be sold to breakeven on this product?
- Title is my answer for this question correct please advice me Description Making dresses in a labor intensive process. Indeed, theproduction function of a dress making firm is well described by theequation Q=L - L^2/800, where Q denotes the number of dresses perweek and L is the number of labor hours per week. The firms cost ofhiring an extra hour of labor is $20 per hour (wage plus fringebenefits.) The firm faces the fixed selling price, P = $40. a.) How much labor should the firm employ? What are itsresulting output and profit? b.) Over the next 2 years, labor costs are expected to beunchanged, but dress prices are expected to increase to $50. Whateffect will this have on the firm's optimal output? Explain.Suppose that inflation is expected to increase the firm's laborcost and output price by identical (precentage) amounts. Whateffect would this have on the firm's output. c.) Finally, suppose that MCL =$20 and P=$50 but that laborproductivity (output per labor hour) is…A small firm operating in a purely competitive market has fixed costs of $45 per day compensates each employee $96 per day and has daily input and raw material costs as indicated in the table below. A. What would be the profit maximizing level of production if demand increased such that each unit sold for $130?, will the company make an economic profit producing this quantity of output? b: suppose the demand significantly decreased so that price for a unit of ouput sold to $115 each. What should the firm do? Why?a) Calculate the technical rate of subsitution b) Derive the cost function c(w1,w2,y) c) When w1 = 5 and w2 = 8, calculate the average cost AC(y) and the marginal cost MC(y). For y > 0, which one is larger, AC(y) or MC(y)? d) When w1 = 8 and w2 = 9, derive the supply function y(p) e) Suppose that Pot & Gold Inc has to pay a quasi fixed cost of $50. When w1 = 8 and w2 = 9, derive the supply function y(p) for Pot & Gold Inc
- 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.Define Q to be the level of output produced and sold, and assume that the firm’s cost function is given by the relationshipTC = 20 + 5Q + Q2Furthermore, assume that the demand for the output of the firm is a function of price P given by the relationshipQ = 25 - Pa. Define total profit as the difference between total revenue and total cost, and express in terms of Q the total profit function for the firm. (Note: Total revenue equals price per unit times the number of units sold.)b. Determine the output level where total profits are maximized.Answer the following: 1. Assuming that the product’s price is P58 per pack, should the competitor sell in the short-runWhy or why not?If it decides to sell, what will be the profit-maximizing (or loss-minimizing output per day)?What is the profit (or loss) that the seller can realize per day? What is the profit (or loss) per pack?A. Assuming that the product price is P42 per pack, answer the same questions in letter A.B. Because of increasing sellers of masks in the market, the product’s price further decreased to P32per pack. Again, answer the same questions in letter A.C. When is this seller going to shut down?D. Now generate the seller’s supply curve of mask in the short run.