The graph of the total profit P(x) (in dollars) from the sale ofx cordless electric screwdrivers is shown to the right(A) Write a brief verbal description of the graph of themarginal profit function y-P'o), including a discussion ofany x intercepts(6) Sketch a possible graph of y=P(x)w your sey varOB. There is no solutionAt what pontis) is the marginal profit function P(x) equal to 0? Select the correct choice below and, if necessary, il in the answer box to complete your choicea comma to separate answers as needed)OA XV(UseOB. There is no solution(6) Sketch a possible graph of y P'(x) Choose the correct graph belowOAOBSOOcOD

A) Brief verbal description of the graph of maximum profit function y=P'(x):

Answered: The graph of the total profit P(x) (in…

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 market research department of a company recommends that the company manufacture and market a new calculator. After a comprehensive study on the market, the research department presents the following price-demand equation: 2 = 150 – p where z is the number of calculators that can be sold at a price p pesos. %3D What is the marginal revenue function in terms of z? MCQ1.pdf OR' (x) = -3x2 +150 OR (x) = 150 – x? O R (x) = 150 – 2x OR (x) = -4x + 300x
15. A graph of the profit function P(x) and its tangent line at x = 125 are shown in the figure below. a. What is the marginal profit for a production/sales level of x = 125 items? b. Use the marginal profit to estimate the profit from a production/sales level of 126 photos. Is the actual profit more or less that the estimated profit? P(x) 2020 2015 2010 2005 2000 122 123 124 125 126 127 128 X
Question #7 - A company sells 60 units a year. The profit function for "X" units is P(x)=-.006x³-0.2x² +900x-1200. A) What is the marginal profit from raising the sales goal at 60 units? B) Is it a good idea to raise the sales goal from 60 to 61? Why?
The marginal cost and marginal revenue of a company are MC (q) = 0.03q² − 1.5q + 35 and MR(q) 25, where q is the number of items manufactured. To increase profits, should the company increase or decrease production from each of the following levels? (a) 25 items: The company should production. (b) 50 items: The company should (c) 80 items: The company should production. production. =
The graph of a function crosses the y-axis at the point y = 2 and the x-intercept of the tangent line drawn at any point of the graph is 1 more than the x-coordinate of the point of tangency. What is the function? Is such function unique? Provide all the details of your solution.
The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. On the graph titled "CPI Dec 2006-July 2007," the horizontal axis is labeled t and the vertical axis is labeled I(t). The curve begins at the point (0, 202), goes up and right becoming more steep, passes through the approximate point (3.5, 205.5), goes up and right becoming less steep, and ends at the approximate point (7, 208.7). The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202 (0 ≤ t ≤ 7), where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in January 2007 (t = 1). Recall that the inflation rate is I′(t) I(t) . (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in January 2007? slowing downspeeding up (c) When was inflation speeding up? When was inflation…
The cost in pesos of manufacturing x pairs of pants in ABC Tailoring is given by C(x)=1500+3x+x^2 Find (a) the marginal cost function. (b) the marginal cost for x = 30 shirts.
The marginal profit for selling à Bronco souvenir hats is modeled by P'(x) = 7 -0.02x dollars. Suppose your fixed costs are $ 490. First find the number of hats you would like to sell in order to maximize your profit: (This requires remembering some concepts about optimization from Math 30.) Now compute the profit for selling that many units, according to the model.

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