Use the Jesaki Inc Information Below to Solve Questions 1-   Below 1) Jesaki Inc estimates that it will sell N(x) units of product after spending $x thousand on advertising, as given by N(x) = -0.45 x^4 + 46 x^3 1,079 x x^2+ 161,973. What is the point of diminishing returns? Round to the nearest dollar. 2) The number x of bicycle helmets Jesaki Inc is willing to sell per week at a price of $p is given by x = a/p + b-c, where a = 80, b = 26, and c = 414. Find the instantaneous rate of change of the supply with respect to price when the price is $79. Round to the nearest hundredth (2 decimal places). 3)  Jesaki Inc sponsered a blood drive  following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x+1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 43 and b = 27. Using this model, estimate the rate of change of pressure with respect to time after 19 years. Round to the nearest hundredth (2 decimal places). millimeters per year

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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Use the Jesaki Inc Information Below to Solve Questions 1-   Below

1) Jesaki Inc estimates that it will sell N(x) units of product after spending $x thousand on advertising, as given by N(x) = -0.45 x^4 + 46 x^3 1,079 x x^2+ 161,973. What is the point of diminishing returns? Round to the nearest dollar.

2) The number x of bicycle helmets Jesaki Inc is willing to sell per week at a price of $p is given by x = a/p + b-c, where a = 80, b = 26, and c = 414. Find the instantaneous rate of change of the supply with respect to price when the price is $79. Round to the nearest hundredth (2 decimal places).

3)  Jesaki Inc sponsered a blood drive  following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x+1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 43 and b = 27. Using this model, estimate the rate of change of pressure with respect to time after 19 years. Round to the nearest hundredth (2 decimal places). millimeters per year

 

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