Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 3.6, Problem 12CFU

a.

To determine

To write: and graph P(x) to represent profit.

a.

Expert Solution
Check Mark

Answer to Problem 12CFU

  P(x)=(120+10x)(0.48−0.03x)

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 12CFU , additional homework tip 1

Explanation of Solution

Given information:

The number of weeks is represented by x and profit is represented by P.

Average yield per acre = 120 bushels

Selling price of one bushel = $0.48

Increase in yield after waiting for a week = 10 bushels

Decrease in selling price of one bushel after waiting for a week to harvest = $0.03

Calculation:

  P(x)=(120+10x)(0.48−0.03x)

The selling price of 120 bushels = (120)($ 0.48)

The yield increase per week = 120+10x

The change in selling price after waiting for a week = 0.48−0.03x

The profit of soybeans after waiting for x week = (120+10x)(0.48−0.03x)

Thus, the profit function can be represented as follows:

  P(x)=(120+10x)(0.48−0.03x)

The graph for P(x) is as follows:

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 12CFU , additional homework tip 2

b.

To determine

To find: the number of weeks of waiting in order to maximize profit.

b.

Expert Solution
Check Mark

Answer to Problem 12CFU

2 weeks

Explanation of Solution

Given information:

  P(x)=(120+10x)(0.48−0.03x)

Calculation:

The x represents the number of weeks and y represents the profit. The maximum point in the graph P(x) is shown below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 12CFU , additional homework tip 3

The maximum profit is $58.8 per bushel. Thus, the profit will be maximized in 2 weeks.

c.

To determine

To find: the maximum profit.

c.

Expert Solution
Check Mark

Answer to Problem 12CFU

$58.8 per bushel

Explanation of Solution

Given information:

  P(x)=(120+10x)(0.48−0.03x)

Calculation:

The x represents the number of weeks and y represents the profit. The maximum point in the graph P(x) is shown below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 12CFU , additional homework tip 4

Thus the maximum profit is $58.8 per bushel.

d.

To determine

the risks of waiting.

d.

Expert Solution
Check Mark

Answer to Problem 12CFU

Low yield of crops

Profit will decrease

Explanation of Solution

Given information:

  P(x)=(120+10x)(0.48−0.03x)

Calculation:

The x represents the number of weeks and y represents the profit. The maximum point in the graph P(x) is shown below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 12CFU , additional homework tip 5

From the graph it is evident that the crop yield and maximum profit will be after 2 weeks. If the crops are not harvested for more than 2 weeks then it will be ruined.

Thus, as the time of waiting (in weeks) is increased more than 2 weeks then the crops yield will be low and there will be loss in the profit.

Previous
Chapter 3.6, Problem 11CFU
Next
Chapter 3.6, Problem 13E

Chapter 3 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 3.1 - Prob. 1CFUCh. 3.1 - Prob. 2CFUCh. 3.1 - Prob. 3CFUCh. 3.1 - Prob. 4CFUCh. 3.1 - Prob. 5CFUCh. 3.1 - Prob. 6CFUCh. 3.1 - Prob. 7CFUCh. 3.1 - Prob. 8CFUCh. 3.1 - Prob. 9CFUCh. 3.1 - Prob. 10CFU
Ch. 3.1 - Prob. 11CFUCh. 3.1 - Prob. 12CFUCh. 3.1 - Prob. 13CFUCh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.2 - Prob. 1CFUCh. 3.2 - Prob. 2CFUCh. 3.2 - Prob. 3CFUCh. 3.2 - Prob. 4CFUCh. 3.2 - Prob. 5CFUCh. 3.2 - Prob. 6CFUCh. 3.2 - Prob. 7CFUCh. 3.2 - Prob. 8CFUCh. 3.2 - Prob. 9CFUCh. 3.2 - Prob. 10CFUCh. 3.2 - Prob. 11CFUCh. 3.2 - Prob. 12CFUCh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.3 - Prob. 1CFUCh. 3.3 - Prob. 2CFUCh. 3.3 - Prob. 3CFUCh. 3.3 - Prob. 4CFUCh. 3.3 - Prob. 5CFUCh. 3.3 - Prob. 6CFUCh. 3.3 - Prob. 7CFUCh. 3.3 - Prob. 8CFUCh. 3.3 - Prob. 9CFUCh. 3.3 - Prob. 10CFUCh. 3.3 - Prob. 11CFUCh. 3.3 - Prob. 12CFUCh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 1MCQCh. 3.3 - Prob. 2MCQCh. 3.3 - Prob. 3MCQCh. 3.3 - Prob. 4MCQCh. 3.3 - Prob. 5MCQCh. 3.3 - Prob. 6MCQCh. 3.3 - Prob. 7MCQCh. 3.3 - Prob. 8MCQCh. 3.3 - Prob. 9MCQCh. 3.3 - Prob. 10MCQCh. 3.4 - Prob. 1CFUCh. 3.4 - Prob. 2CFUCh. 3.4 - Prob. 3CFUCh. 3.4 - Prob. 4CFUCh. 3.4 - Prob. 5CFUCh. 3.4 - Prob. 6CFUCh. 3.4 - Prob. 7CFUCh. 3.4 - Prob. 8CFUCh. 3.4 - Prob. 9CFUCh. 3.4 - Prob. 10CFUCh. 3.4 - Prob. 11CFUCh. 3.4 - Prob. 12CFUCh. 3.4 - Prob. 13CFUCh. 3.4 - Prob. 14CFUCh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.5 - Prob. 1CFUCh. 3.5 - Prob. 2CFUCh. 3.5 - Prob. 3CFUCh. 3.5 - Prob. 4CFUCh. 3.5 - Prob. 5CFUCh. 3.5 - Prob. 6CFUCh. 3.5 - Prob. 7CFUCh. 3.5 - Prob. 8CFUCh. 3.5 - Prob. 9CFUCh. 3.5 - Prob. 10CFUCh. 3.5 - Prob. 11CFUCh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5B - Prob. 1GCECh. 3.5B - Prob. 2GCECh. 3.5B - Prob. 3GCECh. 3.5B - Prob. 4GCECh. 3.5B - Prob. 5GCECh. 3.5B - Prob. 6GCECh. 3.5B - Prob. 7GCECh. 3.5B - Prob. 8GCECh. 3.5B - Prob. 9GCECh. 3.5B - Prob. 10GCECh. 3.5B - Prob. 11GCECh. 3.5B - Prob. 12GCECh. 3.5B - Prob. 13GCECh. 3.5B - Prob. 14GCECh. 3.6 - Prob. 1CFUCh. 3.6 - Prob. 2CFUCh. 3.6 - Prob. 3CFUCh. 3.6 - Prob. 4CFUCh. 3.6 - Prob. 5CFUCh. 3.6 - Prob. 6CFUCh. 3.6 - Prob. 7CFUCh. 3.6 - Prob. 8CFUCh. 3.6 - Prob. 9CFUCh. 3.6 - Prob. 10CFUCh. 3.6 - Prob. 11CFUCh. 3.6 - Prob. 12CFUCh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.7 - Prob. 1CFUCh. 3.7 - Prob. 2CFUCh. 3.7 - Prob. 3CFUCh. 3.7 - Prob. 4CFUCh. 3.7 - Prob. 5CFUCh. 3.7 - Prob. 6CFUCh. 3.7 - Prob. 7CFUCh. 3.7 - Prob. 8CFUCh. 3.7 - Prob. 9CFUCh. 3.7 - Prob. 10CFUCh. 3.7 - Prob. 11CFUCh. 3.7 - Prob. 12CFUCh. 3.7 - Prob. 13CFUCh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - Prob. 17ECh. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - Prob. 20ECh. 3.7 - Prob. 21ECh. 3.7 - Prob. 22ECh. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Prob. 28ECh. 3.7 - Prob. 29ECh. 3.7 - Prob. 30ECh. 3.7 - Prob. 31ECh. 3.7 - Prob. 32ECh. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - Prob. 36ECh. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - Prob. 39ECh. 3.7 - Prob. 40ECh. 3.7 - Prob. 41ECh. 3.7 - Prob. 42ECh. 3.7 - Prob. 43ECh. 3.7 - Prob. 44ECh. 3.7 - Prob. 45ECh. 3.7 - Prob. 46ECh. 3.7 - Prob. 47ECh. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Prob. 50ECh. 3.7 - Prob. 51ECh. 3.7 - Prob. 52ECh. 3.7 - Prob. 53ECh. 3.7 - Prob. 54ECh. 3.7 - Prob. 55ECh. 3.7 - Prob. 56ECh. 3.8 - Prob. 1CFUCh. 3.8 - Prob. 2CFUCh. 3.8 - Prob. 3CFUCh. 3.8 - Prob. 4CFUCh. 3.8 - Prob. 5CFUCh. 3.8 - Prob. 6CFUCh. 3.8 - Prob. 7CFUCh. 3.8 - Prob. 8CFUCh. 3.8 - Prob. 9CFUCh. 3.8 - Prob. 10CFUCh. 3.8 - Prob. 11CFUCh. 3.8 - Prob. 12CFUCh. 3.8 - Prob. 13ECh. 3.8 - Prob. 14ECh. 3.8 - Prob. 15ECh. 3.8 - Prob. 16ECh. 3.8 - Prob. 17ECh. 3.8 - Prob. 18ECh. 3.8 - Prob. 19ECh. 3.8 - Prob. 20ECh. 3.8 - Prob. 21ECh. 3.8 - Prob. 22ECh. 3.8 - Prob. 23ECh. 3.8 - Prob. 24ECh. 3.8 - Prob. 25ECh. 3.8 - Prob. 26ECh. 3.8 - Prob. 27ECh. 3.8 - Prob. 28ECh. 3.8 - Prob. 29ECh. 3.8 - Prob. 30ECh. 3.8 - Prob. 31ECh. 3.8 - Prob. 32ECh. 3.8 - Prob. 33ECh. 3.8 - Prob. 34ECh. 3.8 - Prob. 35ECh. 3.8 - Prob. 36ECh. 3.8 - Prob. 37ECh. 3.8 - Prob. 38ECh. 3.8 - Prob. 39ECh. 3 - Prob. 1SGACh. 3 - Prob. 2SGACh. 3 - Prob. 3SGACh. 3 - Prob. 4SGACh. 3 - Prob. 5SGACh. 3 - Prob. 6SGACh. 3 - Prob. 7SGACh. 3 - Prob. 8SGACh. 3 - Prob. 9SGACh. 3 - Prob. 10SGACh. 3 - Prob. 11SGACh. 3 - Prob. 12SGACh. 3 - Prob. 13SGACh. 3 - Prob. 14SGACh. 3 - Prob. 15SGACh. 3 - Prob. 16SGACh. 3 - Prob. 17SGACh. 3 - Prob. 18SGACh. 3 - Prob. 19SGACh. 3 - Prob. 20SGACh. 3 - Prob. 21SGACh. 3 - Prob. 22SGACh. 3 - Prob. 23SGACh. 3 - Prob. 24SGACh. 3 - Prob. 25SGACh. 3 - Prob. 26SGACh. 3 - Prob. 27SGACh. 3 - Prob. 28SGACh. 3 - Prob. 29SGACh. 3 - Prob. 30SGACh. 3 - Prob. 31SGACh. 3 - Prob. 32SGACh. 3 - Prob. 33SGACh. 3 - Prob. 34SGACh. 3 - Prob. 35SGACh. 3 - Prob. 36SGACh. 3 - Prob. 37SGACh. 3 - Prob. 38SGACh. 3 - Prob. 39SGACh. 3 - Prob. 40SGACh. 3 - Prob. 41SGACh. 3 - Prob. 42SGACh. 3 - Prob. 43SGACh. 3 - Prob. 44SGACh. 3 - Prob. 45SGACh. 3 - Prob. 46SGACh. 3 - Prob. 47SGACh. 3 - Prob. 48SGACh. 3 - Prob. 49SGACh. 3 - Prob. 50SGACh. 3 - Prob. 51SGACh. 3 - Prob. 52SGACh. 3 - Prob. 53SGACh. 3 - Prob. 54SGACh. 3 - Prob. 55SGACh. 3 - Prob. 56SGACh. 3 - Prob. 57SGACh. 3 - Prob. 58SGACh. 3 - Prob. 59SGACh. 3 - Prob. 60SGACh. 3 - Prob. 61SGACh. 3 - Prob. 1SAPCh. 3 - Prob. 2SAPCh. 3 - Prob. 3SAPCh. 3 - Prob. 4SAPCh. 3 - Prob. 5SAPCh. 3 - Prob. 6SAPCh. 3 - Prob. 7SAPCh. 3 - Prob. 8SAPCh. 3 - Prob. 9SAPCh. 3 - Prob. 10SAP

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