28. Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x): = 2x 2x 0.3x In 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? -

28. Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be estimated by P(x): = 2x 2x 0.3x In 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? -

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

See similar textbooks

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Find the instantaneous rate of change for each function at the given value. f(x)=x2+2x at x=0
If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing or decreasing there ?
Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.