SOLVE STEP BY STEP IN DIGITAL FORMAT9.- A market analysis reveals that the profit P that a store will obtain with a certain item depends on the price x as follows:P(x) = 230x - x² + 5000100 ≤x≤ 130Prepare a table with values of P(x) for prices from $100 to $130. Which of these prices yields the greatest profit?

9.- A market analysis reveals that the profit P that a store will obtain with a certain item depends…

Answered: 9.- A market analysis reveals that the…

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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Suppose a company has fixed costs of $1800 and variable costs per unit of x + 1510 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1600- - dollars per unit. 8 (a) Find the break-even points. (Enter your answers as a comma-separated list.) X = (b) Form the profit function P(x) from the cost and revenue functions. P(x) = (c) Find the profit when the selling price is $1,594.38. Round units and profit to the nearest whole number. $
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8. A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(x) = 0.00125x + x – 3, where x represents the number of co sold. What is the profit when x = 300? а. Php 101.25 b. Php 3,000,000.00 c. Php 1,039,500.00 d. Php 10,125,297.00 9. A demographer predicts that the population, P, of a town t years from now can be modeled by the function P(t) = 6t4 – 513 + 200t + 12 000. What will the population of the town be two (2) years from now? a. 12 456 b. 124 560 c. 1 245 600 d. 12 456 000 The top view of a circular table shown on the right has a radius of 120 cm. Find the area of the smaller segment of the table (shaded region) determined by a 60° arc. A. (24007 - 3600/3) cm? B. 3600 /3 cm? C. 24007 cm² 120 cm D. (14 4007 - 3600/3) cm? 11. Mr. Soriano wanted to plant three different colors of roses on the outer rim of a circular garden. He stretched two strings from a point external to the circle to see how the circular rim can be divided into…
- 4400. The profit in dollars from the sale of x expensive watches is P(x) = 0.09x² -5x + 5x 0.8 Find the marginal profit when (a) x=400, (b)x=2000, (c) x=6000, and (d) x = 10,000. (a) When x=400, the marginal profit is $ (Round to the nearest integer as needed.)
23. Suppose that total national consumption is given by a function C(x)=200-0.6x – 0.05x06, where x is the total national income. a. Determine the marginal propensity to consume. b. Determine the marginal propensity to save.
34. Due to the rising demand for face masks, a manufacturer decides to target a daily profit of PhP 1,000,000.00. If P(x) = 2r+ x- 10 represents average total daily cost at x assumed at PhP 500.00, what is the difference between the daily target profit and average total daily cost? B. PhP 420, 510.00 C. PhP 499,510.00 A. PhP 399, 520.00 105.00 D. PhP 599,
16. Use the graph to estimated the x- and y-intercepts of this function, Write as an ordered pair (x,y). 10 x-intercept= [llst least to greatest] y-Intercept=
A company manufactures à units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 7y² + 500. (a) If the production quota for the total number of items (both types combined) is 44, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 45 or lowered to 43. production cost or savings =
please help
4. Suppose that the weekly sales S (in thousands of units) t weeks after a new software has been 200 introduced are given by S= When will sales be greater than or equal to 8 thousand ? +100 units per week? (Use and interval table)
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. =
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

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9.- A market analysis reveals that the profit P that a store will obtain with a certain item depends on the price x as follows: P(x) = 230x - x² + 5000 100 ≤ x ≤ 130 Prepare a table with values of P(x) for prices from $100 to $130. Which of these prices yields the greatest profit?