The cost, in millions of dollars, of a 30-second television ad during an annual television event in the years 2000–2010 can be approximated by C(t) = 0.12t + 1.7 million dollars    (0 ≤ t ≤ 10). (t = 0 represents 2000.) What was the average cost of an ad in the event during the given period?

Q: Question For the following exercise, consider the production of gold during the California gold rush…

A:

Q: Analysis of daily output of a factory during an 8 hour shift shows that the hourly number of units y…

A: First we have to find the critical points and then will go for maxima point.

Q: 8. Marginal profit. Crawford Computing finds that its weekly profit, in dollars, from the production…

A: Px=-0.004x3-0.3x2+600x-800 a). Put x=9 in Px=-0.004x3-0.3x2+600x-800, we get…

Q: the total US disposable income, in billions, can be modeled by D(t) = 10,020e^0.02292t where t is…

A: The equation for Disposable Income (in billions), Dt=10,020e0.02292t  Now, the number of years past…

Q: Production has indicated that they can produce widgets at a cost of $7.00 each if they lease new…

A: Explanation:If the new equipment is purchased, cost of it is $17,500. Using that equipment, cost of…

Q: A movie theater has a seating capacity of 3000 people. The number of people attending a show at…

A: To find the demand is elastic or inelastic

Q: Suppose the likelihood that a child will attend a live theatrical performance can be modeled by q =…

A: Given- Suppose the likelihood that a child will attend a live theatrical performance can be modeled…

Q: n entrepreneur starts new companies and sells them when their growth is maximized. Suppose that the…

A:

Q: A farmer can get 2 dollars per bushel for their potatoes on July 1. After July 1, the price drops by…

A: Solution

Q: An inferior product with a large advertising budget sells well when it is introduced, but sales fall…

A:

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: At maxima or minima of a function f(x), f'(x)=0

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: Consider the provided question, The hourly number of units y produced after t hours of production is…

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: Here we will use second derivative test to find point of Maxima.

Q: The equation below estimates the effect of race on the probability of mortgage denial, holding…

A:

Q: The population P (in millions) of Italy from 2003 through 2015 can be approximated by the model  P…

A: Simply put the value of t and calculate the population is 2021 & 2026.

Q: 10. Urban gardening A vegetable garden 50 ft wide is to be grown between two buildings, which are…

A:

Q: 4. Below is a graph of the function (x): $ -4 3 2 - |? 3 4 $ 6 y = fx) For what value of e > 0 is…

A:

Q: For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue…

A:

Q: 100. Labor. The percentage of women aged 21-34 in the U.S. civilian labor force can be modeled by…

A: Given- fx=-0.0135x2+0.265x+74.6, where xis the number since 1992. To Find- The maximum percentage of…

Q: Disposable income is the amount available for spending and saving after taxes have been paid and is…

A: Consider the given function D=10020e0.02292t. In order to get the year in which the disposable…

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

A:

Q: Disposable income is the amount available for spending and saving after taxes have been paid and is…

A: Given: Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the…

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: The output of the factory is given by- y=140t+12t2-t3,0≤t≤8 To maximize the hourly units- dydt=0

Q: . The accompanying graph shows the total amount of gasoline A in the gas tank of an automobile after…

A: Given graph is,

Q: Par Putters Company sells golf balls for $27 per dozen. The store's overhead expenses are 31% of co…

A: We are given that Par Putters Company sells golf balls for $27 per dozen and the store’s overhead…

Q: f a total revenue function (in dollars) is ?(?)=36?−0.01?2R(x)=36x−0.01x2, where ?x is the number of…

A: Revenue function is given by     R(x) = 36x - 0.01x2     Where x is the number of items sold. We…

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: 2 A patient takes d mg of medicine every 8 hours. Every 8 hours, 80% of the medicine in the…

A:

Q: The table below contains a sample of points from linear functions Y1 and Y2. Use it to solve the…

A: Given table is,

Q: What is the maximum profit when the profit versus production function is as given below? P is profit…

A:

Q: Total revenue from selling a particular product depends upon the price charged per unit.…

A: We have given function R=fp=1500p-50p2 a. If the price equals $10  Then, Total revenue…

Q: C(x)=0.1x2+22x-244+2500/x  ​(a) Use a graphing utility to determine the number of riding lawn…

A:

Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A fast-food restaurant determines the cost and revenue models for its hamburgers. C=0.2x+7900,…

A:

Q: The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a…

A:

Q: 4. In order to study the population distribution of a certain species of insect, a biologist has…

A:

Q: Disposable income is the amount available for spending and saving after taxes have been paid and is…

A: Given that D represents the total disposable income in billion dollars and t represents the number…

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A:

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

A: (a) Given: The profit P for a company in terms of amount spent on advertising is modeled by…

Q: Disposable income is the amount available for spending and saving after taxes have been paid and is…

A:

Q: A cosmetics company is planning the introduction and promotion of a new lipstick line. The marketing…

A: To find the price at which the revenue is maximized

Q: e monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt.…

A:

Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A:

Q: Alternative Minimum Tax The alternative minimum tax was created in 1969 to prevent the very wealthy…

A: Given that,

Q: A pharmaceutical company is using bacteria to manufacture a drug. The biomass of the bacteria (in…

A: The growth rate of bacteria = b'(t) We need the maximum growth rate, means we need to maximize b'(t)…

Q: (c) Which has the greater average rate of change over the interval -12sxs8, the function g(x) or the…

A: Given function fx=2x+7         Intervalgx=x3+2x<14x-2x≥1   -12≤x≤8c Greater Average rate of…

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

A:

Q: 5. For the production of widgets the marginal revenue and marginal cost (in thousands of dollars per…

A:

Q: A mini mart sells a case of soda at ₱480.00. The store’s overhead expenses are 30% of cost and the…

A: Given that,A mini mart sells a case of soda at ₱480.00. The store’s overhead expenses are 30% of…