A company charting its profit notices that the relationship between the number of units sold, and theprofit, P, is linear. If 83 units sold results in $818.00 and 129 units sold results in $2,934.00.a) Write the profit functionP(x) =b) Find the marginal profit?

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Answered: A company charting its profit notices…

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. Let G represent the number of gallons of gasoline left in a car’s tank after it has been driven m miles from a filling station where it was last filled. The table below gives se- lected values of these quantities: (a) What kind of function is G = G(m)? How can you tell? (b) Determine the slope of the line that connects the first point (40, 11) to the last point (200, 3) from the table above. Interpret what this number tells us about how this car uses gasoline. (c) Find the y-intercept of the line that connects the first point (40, 11) to the last point (200, 3) from the table above. Interpret what this number tells us about how this car uses gasoline.
A factory produces ceramic soap dishes. Suppose the daily cost (in dollars) to run the factory on a day when x soap dishes are produced is given by C(x) = 18x0.6 + 220. a. Find the marginal cost function. b. Find the marginal cost when x = 100. Round to two decimal places. c. Write a sentence or two explaining the meaning of the value you found in part b.
3. A car that Sophia wants to buy costs $34,000. She does research and finds that after 12 years the car depreciates to a value of zero. If the car depreciates in straight line form, write the straight line depreciation equation. X=0 y= $34,000 X-12 y = $0 (, $) ( , $ ) Write 2 points represented by this Find the slope of those 2 points. x2-x, Use the slope to write the equation. y= .... 4. A car traveling on asphalt makes a sudden stop. The drag factor of the road is 1.25 and the brakes are operating at 87% efficiency. If the car leaves 4 distinct skid marks that are 58 feet long, how fast was the car traveling. S= 30Dfn D= skid mark length f= drag factor n= brake efficiency written as a decimal CHAPTER 4 TEST NAME 7. Victor found 5 cars online that he will go to see. The prices of the cars are: $4,300; $4,250; $4,500; $3,950; and $4,200. What is the median car price? First, put the values in ascending order, lowest to highest; 5. Kenya is driving on the highway at a speed of 80 mph.…
3.) The revenue equation (in billions of dollars) for corn production in the United States is approximated by R(x)=0.016x² +1.034x+11.338 Where x is in billions of bushels. For example if you have 10 billion bushels, then x = 10. (Data from www.usda.gov) a.) Find the marginal revenue function b.) Find and interpret the marginal revenue for 15 billion bushels c.) Find and interpret the marginal revenue for 20 billion bushels
Suppose the function C(x) = 0.005x^3 − 0.15x^2 + 3x + 210 gives the daily cost to run a plastic tub factory on a day when x plastic tubs are manufactured.a) Find the marginal cost function. b) Find the marginal cost when 100 tubs have been manufactured. Explain this value in a sentence. c) Find the average cost per tub if 200 tubs are manufactured. d) Find the marginal average cost function C'(x).
Estimate the slope of the graph at x=0. AY 5- 4 2- -109 6 54 19 2345 6 7 8 9 10 -2 -4 -5- -2 O 1 O 2 XA
Fill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15

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A company charting its profit notices that the relationship between the number of units sold, and the profit, P, is linear. If 83 units sold results in $818.00 and 129 units sold results in $2,934.00. a) Write the profit function P(x) = b) Find the marginal profit?