6. The total cost incurred by a company that produce three kinds of goods is reflected by the equation: TC = 0.50x: +Xb- +0.75xc² + 2XaXb+ 3xbXc + XaXc + 9,187.50. While the demand function for each item is Pa=352-4Xa, Pb-560-5Xb, and Pa=355-3Xc. If the company want maximum profit. Calculate: •Total production ofeach item • Selling price per unit of each item • The amount of the maximum profit

6. The total cost incurred by a company that produce three kinds of goods is reflected by the equation: TC = 0.50x: +Xb- +0.75xc² + 2XaXb+ 3xbXc + XaXc + 9,187.50. While the demand function for each item is Pa=352-4Xa, Pb-560-5Xb, and Pa=355-3Xc. If the company want maximum profit. Calculate: •Total production ofeach item • Selling price per unit of each item • The amount of the maximum profit

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.10P: Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural...

See similar textbooks

Similar questions

2. ABC Manufacturing has provided you with their demand function Qd = 2000-2p and supply function Qs = 60+5p, please answer the following questions: a. What is the company’s marginal revenue function? b. At level of output is profits maximized? c. At what price is profits maximized? d. What is total revenue at the profit maximization level of output?
Suppose the demand for a product X produced by a company AAA is given by the following function: QX = 2000 - 250*PX. At what price per item of the product X (EUR) can this copmany maximize its total revenues? Fill in the Table gaps: Demand function Price function Total Revenue (EUR) Marginal Revenue (EUR) Quantity Price per product (EUR) Q = 2000 - 250P P = ? TR = Q*P MR = dTR/dQ = 0 Q = ? P = (2000 - Q)/250 250P = 2000 - Q TR = Q*(2000 - Q)/250 MR = 8 - 2*Q/250 Q/125 = 8 P = (2000 - 1000)/250 P = (2000 - Q)/250 TR = 8*Q - Q^2/250 8 - Q/125 = 0 Q = 1000 P = 4 Alternative solution Demand function Total Revenue (EUR) Marginal Revenue (EUR) Price per product (EUR) Q = 2000 - 250P TR = Q*P MR = dTR/dP = 0 2000 - 500*P = 0 TR = (2000 - 250P)*P MR = 2000 - 2*250*P 500*P = 2000 TR = 2000P - 250P^2 MR = 2000 - 500*P P = 4
Signaling. There are two firms, A and B. There are two time periods, 1 and2. There is one commodity, that can be produced by both firms, at linear cost. So,if firm i has marginal cost i, then the cost of producing q units of the commodity is ciq. The inverse demand for the commodity, at any given moment, is 100 − 4Q,where Q is the aggregate supply at that moment.In period 1, firm A is alone in the market. Firm A’s marginal cost is determinedby Nature, either it is 10 or it is 2, each with probability 1/2. A knows it’s cost.Firm A produces some quantity in period 1 and firm B observes this. Betweenperiods 1 and 2, firm B decides to enter the market or not. After making thisdecision, B is told firm A’s cost. It is too late at this point for B to change itsaction.In period 2, if B is in the market, then A and B compete on quantity.(1) In words, what are the steps to solving this problem?(2) There are two possible quantity-competition games that happen in this game.Solve them both.(3) Now…
The demand and supply functions for product M are P = 83.6 - 0.037 Q P = 15.7 + 0.056 Q. A P10 tax per units is levied to the producer. Question: What is the P received by the seller after the imposition of tax? and how much will be the tax burden on the part of the producer after the imposition of tax? How much will be the tax burden in the part of buyer on the other hand?
Example 2:Management has at its disposal the following information:Demand (price) function: P =32 –QTotal cost function: C(Q) = 200 +2Q.Using the above functions, determine the following:a. Profit maximizing output (quantity)b. Profit-maximizing pricec. Maximum profit valued. Revenue-maximizing output. (quantity)
For a firm with market power, what is the marginal revenue gained when one more unit of output is sold? Question 19Answer a. The price at which the extra unit is sold plus the rise in revenue from selling other units at a higher price b. The price of the unit of output sold minus the production cost of that unit c. The price of the unit of output sold d. The price at which the extra unit is sold less the drop in revenue from selling other units at a lower price
The Nike accounting firm analyzes the price-demand relationship toconclude that x thousand shoes will sell if offered for a unit price (in dollars) of p(x) = 130−0.1x. Suppose further that the total cost of production was tracked to be $530,000 up until production of the first thousand shoes, and that this cost increased linearly to $560,000 by the time of production ofthe 2000th shoe. Find the following quantities, and interpret your results(describe what these quantities represent). a) Marginal revenue when x= 100 b) Average profit when x= 500
The equation below represents a linear demand curve using a grid for plottinng. Write all derivations in the space below. Qx = 60000 - 200 Px 1) Plot the demand function on the top set of axes. Your demand function is: 2) The price function is the inverse of the demand function. Write this inverse below 3) Use the price function to obtain the total revenue function (TR). Write the TR function below. You will plot TR on the lower set of axes in step 5. 4) Derive (or simply write) the marginal revenue (MR) function below. Plot MR on the top set of axes (in the proper location with respect to the demand function). 5) Use the TR function (3) to calculate revenue for each of the seven Qx values below. Use the seven revenues to plot the revenue function properly. Qx Revenue 0 10k 20k 30k 40k 50k 60k Help in plotting a graph please.
The short-run market demand and supply curves for good X are as follows: QD = 20 - 4P QS = 7 + 2.5P Find the equilibrium price and quantity before the imposition of the tax. What is the price actually paid by the demanders (Pd) due to a quantity or specific tax of $1 per unit collected from the buyers? What is the price actually received by the suppliers (Ps) due to a quantity or specific tax of $1 per unit collected from the buyers? What is the after- or post-tax quantity? What is the total revenue after the imposition of the quantity or specific tax? How much of the tax do consumers pay (in percent)? How much of the tax do producers pay (in percent)?
The local government in Karachi is considering two tax proposals: A lump-sum tax of Rs. 300 on each producer of Ice-cream. A tax of Rs. 1 per unit of Ice-cream, paid by producers of Ice-cream. Which cost curves; average fixed cost, the average variable cost, average total cost, and marginal cost would shift as a result of the lump-sum tax? Why? 2.Which cost curves; average fixed cost, the average variable cost, average total cost, and marginal cost would shift as a result of the per-unit tax? Why?
At these levels of output the marginal revenue in the manufactured items market is and the marginal revenue in the semimanufactured raw materials market is . At these prices, the price elasticity of demand in the manufactured items market is and the the price elasticity of demand in the semimanufactured raw materials market is . (Hint: ED=PMR−P��=�MR−�) What are the total profits if the company is effectively able to charge different prices in the two markets? . If the company is required by law to charge the same per-ton rate to all users, the new profit-maximizing level of price and output are per ton and tons respectively. The total profits in this situation is .
Can you help with parts d,e and f please? Assume the following equations describe the conditions for an unregulated monoply: Qd = q = 160,000 - 2,500P TC = 400,000 +22q + 0.0001q2 where Qd is the quantity demanded for both the market and the firm, P is the commodity's price in dollars, TC is total cost in dollars, and q is the quantity of output produced by the firm. Based upon the above equations, answer the following questions: a. What is the firm's equation for total revenue expressed as a function of quantity? b. What is the firm's equation for marginal revenue expressed as a function of quantity? What is the firm's equation for marginal cost expressed as a function of quantity? c. What is the firm's profit-maximizing quantity of output? d. What price will the firm charge for the commodity? Assume the total cost function and the market demand remain unchanged. The equations are: Qd = q = 160,000 - 2,500P TC = 400,000 +22q + 0.0001q2 The monopolist now engages in first-degree…