QUESTION 11Let D (x) =x2– 12x+ 36.3DXFind the consumer surplus at the equilibrium x=3.E$ 25$ 12$ 18$ 36

Answered: Image /qna-images/answer/09097f20-e034-438e-ae3c-c044db457fa6.jpg

Answered: QUESTION 11 Let D (x) =x2- 12x+ 36.…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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(4) A camera company estimates that the demand function for its new digital camera is p = 275e-0.159 and the supply function is p = 25e0.219. Here q is measured in thousands. (a) What are the price and level of sales when the market is in equilibrium? (Recall: equilibrium occurs when demand and supply are equal.) (b) Compute the consumer surplus when the market is in equilibrium. (c) Compute the producer surplus when the market is in equilibrium. (d) Compute the total surplus when the market is in equilibrium. (e) Graph the demand and supply curves. (You may use an electronic device for this if you wish.) Verify that the curves intersect at your answer to (a). Shade regions of the graph whose areas correspond to the consumer surplus and producer surplus, respectively.
Consider the basic macroeconomic model: Y=C+I and C = a + by where Y is GDP, C is consumtion and I is total investment (treated as fixed). a, b are positive parameters. Solve the model for Y in terms of I and the parameters.
QUESTION 1 Given a demand curve of P = 101 - 6Qd and supply of P = 47+ 6Qs, find the equilibrium price (Pe), AFTER lower input costs have shifted supply by 4 dollars.
QUESTION 1 Given a demand curve of P = 182 - 7Qd and supply of P = 35+ 6Qs, find the equilibrium price (Pe), AFTER lower input costs have shifted supply by 7 dollars.
The demand equation for a product is as follows. q = 10/126 -p Calculate consumers' surplus under market equilibruim, which occurs at a price of $90. The consumers' surplus at equilibrium is $ (Round to the nearest cent as needed.) 9....v son shma orepo Enter your answer in the answer box. nts
Question 5 A firm's price in a perfectly competitive market is 1000. Its cost function is C(x) = 0.01x³ 3x² +1108x + 960, where x ≥ 0 is the number of units produced and sold. (a) Find an expression for the profit function (x) for x ≥ 0. (b) Find all stationary points and determine the profit maximising level of output.
QUESTION 1 Given a demand curve of P = 215 - 3Qd and supply of P = 12 + 2Qs, find the equilibrium price (Pe), AFTER lower input costs have shifted supply by 98 dollars.

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QUESTION 11 Let D (x) =x2- 12x+ 36. Find the consumer surplus at the equilibrium x=3. E $ 25 $ 12 $ 18 $ 36