The supply function p = s(q) indicates the price at which producers are willing to supply a certain quantity of output q. Producer surplus provides a measure of the total benefit producers derive fromequilibrium quantity 9o and price po:-5.90s(0s(q)dqIf the supply function is p = 1 q² − q + 6 and the equilibrium price is 30 (and q > 0), what is the producer surplus?5563O 456351634163None of the aboveP090

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Answered: The supply function p= s(q) indicates…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The price p (in dollars) and the demand x for a particular clock radio are related by the equation x=2000−20p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 1200 clock radios. (D) Interpret R′(1600)=−60.00.
A particular notebook computer has a price/demand function of p(n) = 1200 – 36n dollars, where n is the number in thousands of computers sold in the market. The manufacturer's fixed cost of operations is 4,400 dollars while the variable cost of production 140 per computer. In the previous notebook computer problem, what is the profitable range of production? O1. Between 5000 and 24444 computers O II. Between 5444 and 24000 computers II. Between 5454 and 24040 computers O V. Between 5000 and 25000 computers In the previous notebook computer problem, at what level of sales does maximum revenue occur? O1. 16667 computers O II. 16000 computers O II. 17000 computers O V. 16335 computers In the previous notebook computer problem, at what level of sales does maximum profit occur? O1. 15622 computers O II. 14000 computers O I. 16667 computers O V.14722 computers
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)=0.005x +0.04x²+0.4x Currently, Pierce sells 50 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 54 lawn chairs were sold each day? c) What is the marginal revenue when 50 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(51), R(52), and R(53). a) The current revenue is $ b) The revenue would increase by $ c) The marginal revenue is $when d) R(51) $ S R(52) S R(53) $ (Round to the nearest cent.) 50 lawn chairs are sold daily
The total revenue curve of a firm is R(q) 40q – 12q? and its average cost A(q) = 9? – 12.85q + 20 + 400 where q is the firm's output. 30 Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the i. ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit?
Suppose demand is given by p = 1600 − x. Find the maximum revenue.
The total revenue curve of a firm is R(g) 40q - 12q? and its %3D 400 average cost A(q) q - 12.85q + 20 + 30 where q is the firm's output. b. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(g) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? i.
Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A. 14 units B. 4 units C. 56 units D. 16 units

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