he price-demand equation of the particular brand of shampoo át á šúþérmarket chai hen the demand is 100 per week at 120 pesos per tube, given the marginal price- emand function d'(x), for x be the number of tubes per week, is given as d'(x) = 0.02e-0.02r. If the supermarket chain sells 150 tubes per week, what is the price shc

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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function like finding the divorce rate.
Directions: Solve the following word problems by applying the concept of integration by
substitution.
1. The price-demand equation of the particular brand of shampoo at a supermarket chain
when the demand is 100 per week at 120 pesos per tube, given the marginal price-
demand function d'(x), for x be the number of tubes per week, is given as d'(x) =
-0.02e-0.02x. If the supermarket chain sells 150 tubes per week, what is the price should
%3D
it set?
2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3', where t is
given in hours and q(t) is given on thousands of bacteria per hour. If a culture starts with
10,000 bacteria, find a function Q(t)that gives the number of bacteria in the Petri dish at
any time t. How many bacteria are in the dish after 2 hours.
%3D
Transcribed Image Text:function like finding the divorce rate. Directions: Solve the following word problems by applying the concept of integration by substitution. 1. The price-demand equation of the particular brand of shampoo at a supermarket chain when the demand is 100 per week at 120 pesos per tube, given the marginal price- demand function d'(x), for x be the number of tubes per week, is given as d'(x) = -0.02e-0.02x. If the supermarket chain sells 150 tubes per week, what is the price should %3D it set? 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3', where t is given in hours and q(t) is given on thousands of bacteria per hour. If a culture starts with 10,000 bacteria, find a function Q(t)that gives the number of bacteria in the Petri dish at any time t. How many bacteria are in the dish after 2 hours. %3D
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