Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operations-a practice called Web hosting. Managed services-monitoring a customer's technology services-is the fastest growing part of Web hosting. Managed services sales are expected to grow in accordance by the function f(t) = 0.469t2 + 0.758t + 0.44 (0

Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operations-a practice called Web hosting. Managed services-monitoring a customer's technology services-is the fastest growing part of Web hosting. Managed services sales are expected to grow in accordance by the function f(t) = 0.469t2 + 0.758t + 0.44 (0

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operations-a
practice called Web hosting. Managed services-monitoring a customer's technology services-is the fastest growing part of
Web hosting. Managed services sales are expected to grow in accordance by the function
f(t) = 0.469t2 + 0.758t + 0.44
(0 <t< 10)
where f(t) is measured in billions of dollars and t is measured in years, with t = 0 corresponding to 1999.t
(a) Find the interval where f is increasing. (Enter your answer using interval notation.)
(-∞, – 0.80810234)
(b) What does your result tell you about sales in managed services from 1999 through 2009?
Managed service sales remained the same during this period.
In 1999 managed service sales were much bigger than in 2009.
First managed service sales were increasing and then became a constant.
Managed service sales were decreasing during this period.
Managed service sales were increasing during this period.

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Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of Kenyan beans, and 150 grams of French roast beans and the gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyan beans, and 50 grams of French roast beans. This time the merchant has on hand 30 kilograms of Colombian beans, 15 kilograms of Kenyan beans, and 15 kilograms of French roast beans. Suppose one bag of the house blend produces a profit of $0.50, one bag of the special blend produces a profit of $1.50, and one bag of the gourmet blend produces a profit of $2.00. How many bags of each type should the merchant prepare if he wants to use up all of the beans and maximize his profit? What is the maximum profit?
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The manufacturer of a weight training bench spends $120 to build each bench and sells them for $170. The manufacturer also has fixed costs each month of $150,000. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
A manufacturer of a popular digital camera wholesales the camera to retail outlets throughout the world. Using statistical methods, the financial department in the company produced the following price-demand function and corresponding revenue function. p(x)=94.8-5x R(x)=x(94.8-5x) Where p(x) is the wholesale price per camera at which x million cameras can be sold and R(x) is the corresponding revenue (in millions of dollars). Both functions have a domain of 1 less and equal than x less and equal than 15 Find the value of x to the nearest thousand cameras that will generate the maximum revenue. What is the maximum revenue? What is the wholesales price per camera that generates the maximum revenue? What is the company's break-even point(s) if the cost function is C(x)=156+19.7x