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Theo Corp finds that their profit (in thousands of dollars) when producing and selling x hundred desk lamps is given by P(x) = -0.46x + 47.84x- 531.84. (a) Find and interpret the average rate of change of P with respect to x when the input is changed from x = 7 to x = 15. When Theo Corp increases their production and sales from 700 desk lamps up to a level of desk lamps, their total profit increases by an average of thousand dollars per hundred lamp increase in production. (b) Find P'(x), also known as the marginal profit function. P'(x) = (c) Find and interpret the instantaneous rate of change of P with respect to x when x = 7. When desk lamps are produced and sold, Theo Corp's total profit is increasing at a rate of dollars per hundred additional lamps produced. (d) Find and interpret the marginal profit of P at a production level of 3200 units. When 3200 lamps have been produced and sold, the profit for producing and selling the next 100 lamps will be about $

Theo Corp finds that their profit (in thousands of dollars) when producing and selling x hundred desk lamps is given by P(x) = -0.46x + 47.84x- 531.84. (a) Find and interpret the average rate of change of P with respect to x when the input is changed from x = 7 to x = 15. When Theo Corp increases their production and sales from 700 desk lamps up to a level of desk lamps, their total profit increases by an average of thousand dollars per hundred lamp increase in production. (b) Find P'(x), also known as the marginal profit function. P'(x) = (c) Find and interpret the instantaneous rate of change of P with respect to x when x = 7. When desk lamps are produced and sold, Theo Corp's total profit is increasing at a rate of dollars per hundred additional lamps produced. (d) Find and interpret the marginal profit of P at a production level of 3200 units. When 3200 lamps have been produced and sold, the profit for producing and selling the next 100 lamps will be about $

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Theo Corp finds that their profit (in thousands of dollars) when producing and selling x hundred desk lamps is given by P(x) = -0.46x+47.84x- 531.84. (a) Find and interpret the average rate of change of P with respect to x when the input is changed from x 7 to x = 15. When Theo Corp increases their production and sales from 700 desk lamps up to a level of desk lamps, their total profit increases by an average of thousand dollars per hundred larmp increase in production. (b) Find P'(x), also known as the marginal profit function. P'(x) = (c) Find and interpret the instantaneous rate of change of P with respect to x when x = 7. When desk lamps are produced and sold, Theo Corp's total profit is increasing at a rate of dollars per hundred additional lamps produced. (d) Find and interpret the marginal profit ofP at a production level of 3200 units. When 3200 lamps have been produced and sold, the profit for producing and selling the next 100 lamps will be about $
Transcribed Image Text:Theo Corp finds that their profit (in thousands of dollars) when producing and selling x hundred desk lamps is given by P(x) = -0.46x+47.84x- 531.84. (a) Find and interpret the average rate of change of P with respect to x when the input is changed from x 7 to x = 15. When Theo Corp increases their production and sales from 700 desk lamps up to a level of desk lamps, their total profit increases by an average of thousand dollars per hundred larmp increase in production. (b) Find P'(x), also known as the marginal profit function. P'(x) = (c) Find and interpret the instantaneous rate of change of P with respect to x when x = 7. When desk lamps are produced and sold, Theo Corp's total profit is increasing at a rate of dollars per hundred additional lamps produced. (d) Find and interpret the marginal profit ofP at a production level of 3200 units. When 3200 lamps have been produced and sold, the profit for producing and selling the next 100 lamps will be about $
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