Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x) =2x-0.3x ln x. a) Find the marginal profit, P'(x). b) Find P'(150), and explain what this number represents. c) How many candles (in thousands) should be sold in order to achieve a marginal profit of $750 per thousand candles?

Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x) =2x-0.3x ln x. a) Find the marginal profit, P'(x). b) Find P'(150), and explain what this number represents. c) How many candles (in thousands) should be sold in order to achieve a marginal profit of $750 per thousand candles?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

See similar textbooks

Similar questions

Determine dimension x to 3 decimal places.
Molar volume is a function of temperature and the pressure or V = f (T, P) ; and its total derivative can be written as?
integral of ln x4/x dx
Intergal of (sinh x) / (cosh x + 6) dx
What is the rate of change of y = ln x at x = 10?
A.) A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the balloon’s radius decreasing when the radius is 5 inches? B.) A rectangle’s length is growing at 3 inches per second, while its width is shrinking at 5 inches per second. How fast is its area changing when its length is 7 inches and its width is 4 inches? Is the area growing or shrinking?
A ladder of length 9 meters is leaning against a vertical wall. Due to the smoothness of the ground, the foot of the ladder is sliding. Let y be the vertical distance of the top of the ladder from the ground and x be the horizontal distance of the foot of the ladder from the wall. If the rate of change of y with respect to x is numerically equal to -kx, find k when x = 1.1 meters.
A mold grows at a rate that is proportional to the amount present. Initially there is 6oz of this mold, and 10 hours later there is 8oz. When is there 15oz of the mold?
The altitude of a triangle is increasing at a rate of 1 cmminwhile the area of the triangle is increasing at a rate of2 cm sq. min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100sq cm ?