Pathways to Math Literacy (Loose Leaf)
1st Edition
ISBN: 9781259218859
Author: David Sobecki Professor, Brian A. Mercer
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 4.8, Problem 19C
To determine
To calculate: The total number of trees in orchard if x more trees are planted and it is known that 50 trees are already present in the orchard producing 800 apples each.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to
determine which cities Martin-Beck should construct a plant in.
Let
y₁ = 1 if a plant is constructed in Detroit; 0 if not
y₂ = 1 if a plant is constructed in Toledo; 0 if not
y₂ = 1 if a plant is constructed in Denver; 0 if not
y = 1 if a plant is constructed in Kansas City; 0 if not.
The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem.
*,, = the units shipped in thousands from plant i to distribution center j
i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…
Consider the following mixed-integer linear program.
Max
3x1
+
4x2
s.t.
4x1
+
7x2
≤
28
8x1
+
5x2
≤
40
x1, x2 ≥ and x1 integer
(a)
Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions.
On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph.
The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0).
The region is above the horizontal axis, to the right of the vertical axis, and below the line segments.
At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments.
On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…
Consider the nonlinear optimization model stated below.
Min
s.t.
2x²-18x + 2XY + y² - 14Y + 53
x + 4Y ≤ 8
(a) Find the minimum solution to this problem.
|at (X, Y) =
(b) If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change?
Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by
(c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate?
If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is|
, so the actual change is a decrease of
rather than what we expected in part (b).
Chapter 4 Solutions
Pathways to Math Literacy (Loose Leaf)
Ch. 4.1 - After reading the opening paragraph, what do you...Ch. 4.1 - Prob. 1GCh. 4.1 - Prob. 2GCh. 4.1 - Prob. 3GCh. 4.1 - Prob. 4GCh. 4.1 - Prob. 5GCh. 4.1 - Prob. 6GCh. 4.1 - Prob. 1CCh. 4.1 - Prob. 2CCh. 4.1 - Prob. 3C
Ch. 4.1 - Prob. 4CCh. 4.1 - Prob. 5CCh. 4.1 - This phenomenon is so common, in fact, that data...Ch. 4.1 - Find the standard deviation for Ji-Mins golf...Ch. 4.1 - Discuss how comparing the two standard deviations...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - A standard package of Oreos is supposed to contain...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - The probability of a package of Oreos containing...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - As our friend Mr. Twain pointed out over 100 years...Ch. 4.1 - Prob. 1RCh. 4.1 - Prob. 2RCh. 4.1 - Prob. 3RCh. 4.1 - Prob. 4RCh. 4.1 - Prob. 1ACh. 4.1 - Prob. 2ACh. 4.1 - Prob. 3ACh. 4.1 - In a group of 500 women, how many would you expect...Ch. 4.1 - Prob. 5ACh. 4.1 - Prob. 6ACh. 4.2 - Prob. 0LOCh. 4.2 - Prob. 1CCh. 4.2 - Prob. 2CCh. 4.2 - Prob. 3CCh. 4.2 - Prob. 4CCh. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - The process used to find the distance from the...Ch. 4.2 - Prob. 5CACh. 4.2 - Suppose that we know that the distance between...Ch. 4.2 - How does the distance between points P and Q...Ch. 4.2 - The lower illustration also shows points P, Q, M,...Ch. 4.2 - Based on the scale provided on the two-dimensional...Ch. 4.2 - Illustrate the grade of each trail by drawing a...Ch. 4.2 - Use the Pythagorean theorem to estimate the true...Ch. 4.2 - Prob. 7GCh. 4.2 - How far would you actually drive in covering that...Ch. 4.2 - Prob. 9GCh. 4.2 - Prob. 11GCh. 4.2 - What does the Pythagorean theorem say? When can...Ch. 4.2 - Why cant you just find the distance between two...Ch. 4.2 - Prob. 3RCh. 4.2 - Estimate the elevation of point A.Ch. 4.2 - Prob. 2ACh. 4.2 - How far would you walk along the trail from point...Ch. 4.2 - Prob. 4ACh. 4.3 - Prob. 0LOCh. 4.3 - The amount of profit that a company makes when...Ch. 4.3 - If he decides to make the play area 5 feet wide,...Ch. 4.3 - Prob. 2GCh. 4.3 - Prob. 3GCh. 4.3 - Based on the graph, what width makes the area as...Ch. 4.3 - Prob. 5GCh. 4.3 - Prob. 6GCh. 4.3 - Prob. 7GCh. 4.3 - Prob. 8GCh. 4.3 - Prob. 9GCh. 4.3 - Prob. 10GCh. 4.3 - Prob. 11GCh. 4.3 - Prob. 12GCh. 4.3 - Prob. 13GCh. 4.3 - Prob. 14GCh. 4.3 - Prob. 15GCh. 4.3 - Prob. 1TCh. 4.3 - If youre looking at a graph, what are some key...Ch. 4.3 - Prob. 2RCh. 4.3 - Type a short answer to each question. Think of...Ch. 4.3 - Prob. 4RCh. 4.3 - About how high above the ground was the ball when...Ch. 4.3 - How far away from where it was kicked did the ball...Ch. 4.3 - How high did the punt go?Ch. 4.3 - The hang time of a punt is how long its in the air...Ch. 4.3 - After how many seconds was the ball 45 feet above...Ch. 4.3 - Prob. 7ACh. 4.3 - Prob. 8ACh. 4.4 - Prob. 0LOCh. 4.4 - Describe the differences between linear and...Ch. 4.4 - Prob. 2CCh. 4.4 - Prob. 3CCh. 4.4 - Prob. 4CCh. 4.4 - Prob. 5CCh. 4.4 - Prob. 6CCh. 4.4 - Prob. 7CCh. 4.4 - Prob. 8CCh. 4.4 - Prob. 9CCh. 4.4 - Prob. 10CCh. 4.4 - If youre the coffee drinker represented by the...Ch. 4.4 - Find the relative change in caffeine for each...Ch. 4.4 - Complete this important statement about...Ch. 4.4 - Looking at the graph of the caffeine remaining in...Ch. 4.4 - Whats the multiplication factor that youd need to...Ch. 4.4 - Prob. 6GCh. 4.4 - Prob. 7GCh. 4.4 - Prob. 8GCh. 4.4 - Prob. 9GCh. 4.4 - Use either TABLE or TRACE commands on your...Ch. 4.4 - Prob. 11GCh. 4.4 - Compare exponential growth and exponential decay....Ch. 4.4 - What did you learn in this lesson about the value...Ch. 4.4 - Prob. 3RCh. 4.4 - How much money is Joe earning when hes 30?Ch. 4.4 - How much money is he allowing himself to spend...Ch. 4.4 - How much is Joe earning when hes 35? Show a...Ch. 4.4 - How much money is Joe allowing himself to spend...Ch. 4.4 - Carefully explain the meaning of the crossover...Ch. 4.5 - Prob. 0LOCh. 4.5 - Prob. 1GCh. 4.5 - Prob. 2GCh. 4.5 - Prob. 3GCh. 4.5 - Prob. 4GCh. 4.5 - Prob. 5GCh. 4.5 - Prob. 6GCh. 4.5 - Prob. 7GCh. 4.5 - Prob. 8GCh. 4.5 - Prob. 9GCh. 4.5 - Prob. 10GCh. 4.5 - Prob. 11GCh. 4.5 - Prob. 1CCh. 4.5 - Prob. 2CCh. 4.5 - Prob. 3CCh. 4.5 - Prob. 4CCh. 4.5 - Prob. 5CCh. 4.5 - Prob. 6CCh. 4.5 - Prob. 7CCh. 4.5 - Prob. 8CCh. 4.5 - Prob. 9CCh. 4.5 - Prob. 10CCh. 4.5 - Prob. 11CCh. 4.5 - Prob. 12CCh. 4.5 - Prob. 13CCh. 4.5 - Prob. 14CCh. 4.5 - Prob. 15CCh. 4.5 - Prob. 16CCh. 4.5 - Prob. 1RCh. 4.5 - Prob. 2RCh. 4.5 - Prob. 3RCh. 4.5 - Prob. 4RCh. 4.5 - Prob. 1ACh. 4.5 - Prob. 2ACh. 4.5 - Prob. 3ACh. 4.5 - Prob. 4ACh. 4.6 - Prob. 0LOCh. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Newtons law of universal gravitation describes the...Ch. 4.6 - Prob. 5CCh. 4.6 - Prob. 6CCh. 4.6 - Prob. 7CCh. 4.6 - Prob. 8CCh. 4.6 - Prob. 9CCh. 4.6 - Prob. 10CCh. 4.6 - Prob. 11CCh. 4.6 - Prob. 12CCh. 4.6 - Use Newtons law of universal gravitation to find...Ch. 4.6 - Prob. 14CCh. 4.6 - Prob. 1GCh. 4.6 - Prob. 2GCh. 4.6 - Prob. 3GCh. 4.6 - Prob. 5GCh. 4.6 - Prob. 6GCh. 4.6 - Prob. 7GCh. 4.6 - A fun fact: you can use a microwave oven and a bar...Ch. 4.6 - Prob. 1RCh. 4.6 - Prob. 2RCh. 4.6 - Prob. 3RCh. 4.6 - Prob. 4RCh. 4.6 - Prob. 1ACh. 4.6 - Prob. 2ACh. 4.6 - Prob. 3ACh. 4.6 - Prob. 4ACh. 4.6 - Prob. 5ACh. 4.6 - Prob. 6ACh. 4.6 - Prob. 7ACh. 4.7 - Prob. 0LOCh. 4.7 - Prob. 1GCh. 4.7 - Prob. 2GCh. 4.7 - Prob. 3GCh. 4.7 - Prob. 4GCh. 4.7 - Prob. 5GCh. 4.7 - Prob. 6GCh. 4.7 - Prob. 7GCh. 4.7 - Prob. 8GCh. 4.7 - Prob. 9GCh. 4.7 - Prob. 10GCh. 4.7 - Prob. 11GCh. 4.7 - From years of experience, the owner of a small...Ch. 4.7 - Prob. 13GCh. 4.7 - Prob. 14GCh. 4.7 - Prob. 15GCh. 4.7 - Prob. 16GCh. 4.7 - Prob. 17GCh. 4.7 - Prob. 18GCh. 4.7 - Prob. 19GCh. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - In Questions 14, simplify each expression. Aside...Ch. 4.7 - Prob. 5CCh. 4.7 - Prob. 6CCh. 4.7 - Prob. 7CCh. 4.7 - Our next goal is to multiply (x5)by(x2+3x+4). a....Ch. 4.7 - Prob. 9CCh. 4.7 - What is a polynomial? What is meant by the phrase...Ch. 4.7 - Prob. 2RCh. 4.7 - What questions do you have about this lesson?Ch. 4.7 - Prob. 1ACh. 4.7 - Prob. 2ACh. 4.7 - Prob. 3ACh. 4.7 - Prob. 4ACh. 4.7 - Prob. 5ACh. 4.7 - Prob. 6ACh. 4.7 - Prob. 7ACh. 4.7 - Prob. 8ACh. 4.7 - Prob. 9ACh. 4.7 - Prob. 10ACh. 4.8 - Prob. 0LOCh. 4.8 - Perform the multiplication: 57=Ch. 4.8 - Prob. 2GCh. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set at half...Ch. 4.8 - If the volume in the YouTube window is set all the...Ch. 4.8 - To get the overall volume, we _______ the...Ch. 4.8 - Prob. 7GCh. 4.8 - Prob. 8GCh. 4.8 - Prob. 9GCh. 4.8 - Prob. 10GCh. 4.8 - Prob. 11GCh. 4.8 - Prob. 12GCh. 4.8 - Prob. 1CCh. 4.8 - For the polynomial P(x)=(x1)(x+5), find each...Ch. 4.8 - Use the table and graph provided for...Ch. 4.8 - Prob. 4CCh. 4.8 - Prob. 5CCh. 4.8 - y(x)=(x+5)(x+4)(x2) Zeros: x intercepts:Ch. 4.8 - Prob. 7CCh. 4.8 - Prob. 8CCh. 4.8 - Prob. 9CCh. 4.8 - Prob. 10CCh. 4.8 - Prob. 11CCh. 4.8 - Prob. 12CCh. 4.8 - Prob. 13CCh. 4.8 - Prob. 14CCh. 4.8 - Prob. 15CCh. 4.8 - Prob. 16CCh. 4.8 - Prob. 17CCh. 4.8 - Prob. 18CCh. 4.8 - Prob. 19CCh. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - If the current yield per tree is 800, and will go...Ch. 4.8 - Prob. 22CCh. 4.8 - Prob. 23CCh. 4.8 - Prob. 24CCh. 4.8 - Prob. 1RCh. 4.8 - Prob. 2RCh. 4.8 - Prob. 3RCh. 4.8 - Prob. 1ACh. 4.8 - Prob. 2ACh. 4.8 - Prob. 3ACh. 4.8 - Prob. 4ACh. 4.8 - Prob. 5ACh. 4.8 - Prob. 6ACh. 4.9 - Prob. 0LOCh. 4.9 - Prob. 1CCh. 4.9 - Use the quadratic formula to find the two...Ch. 4.9 - One of the solutions provides the length of the...Ch. 4.9 - What is the significance of the other solution in...Ch. 4.9 - Whats the connection between the solutions of the...Ch. 4.9 - Prob. 6CCh. 4.9 - Prob. 7CCh. 4.9 - Prob. 8CCh. 4.9 - Prob. 9CCh. 4.9 - Prob. 10CCh. 4.9 - Prob. 1GCh. 4.9 - Prob. 2GCh. 4.9 - Prob. 3GCh. 4.9 - Prob. 4GCh. 4.9 - Prob. 5GCh. 4.9 - Prob. 6GCh. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - Prob. 8GCh. 4.9 - Experiment: The Time Needed To Drain a Bottle...Ch. 4.9 - What is the quadratic formula used for? Why is...Ch. 4.9 - What types of applied problems can be solved using...Ch. 4.9 - Prob. 3RCh. 4.9 - Use a calculator or spreadsheet to make a table of...Ch. 4.9 - Find the vertex of the parabola using the formula...Ch. 4.9 - Explain what each coordinate of the vertex means.Ch. 4.9 - Find the intercepts for the function.Ch. 4.9 - Explain what each intercept means.Ch. 4.9 - Describe when the ball is headed upward, and when...Ch. 4.9 - Prob. 7ACh. 4.9 - The distance for golf shots is traditionally...Ch. 4.9 - Prob. 9ACh. 4.9 - Prob. 10ACh. 4.9 - Prob. 11ACh. 4.9 - Prob. 12ACh. 4.10 - After reading the opening paragraph, what do you...Ch. 4.10 - Record the data from your experiment in the table....Ch. 4.10 - Use these data to create a scatter plot. Use the...Ch. 4.10 - Using your graphing calculator, find an...Ch. 4.10 - Use your function to approximate the height of the...Ch. 4.10 - Evaluate your equation for x=0. What does your...Ch. 4.10 - What does the variable x represent?Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - In the equation y=abx that models your data, what...Ch. 4.10 - Using data from your original table, fill in this...Ch. 4.10 - Use these data to create a second scatter plot.Ch. 4.10 - Based on the scatter plot, what kind of equation...Ch. 4.10 - Use your graphing calculator to find the equation...Ch. 4.10 - Your equation has a variable in it, but also has...Ch. 4.10 - If you were to drop the golf ball from your...Ch. 4.10 - Find the relative change in height from one bounce...Ch. 4.10 - (This one requires some thought, but is the key...Ch. 4.10 - Whats the bounce height as a percentage of the...Ch. 4.10 - Write an expression that calculates the bounce...Ch. 4.10 - Write an equation that describes the bounce height...Ch. 4.10 - Using your answer to Question 17, its possible to...Ch. 4.10 - What do you think would be some sources of error...Ch. 4.10 - Type a short answer to each question. Weve studied...Ch. 4.10 - How could you tell if neither of those types of...Ch. 4.10 - Type a short answer to each question. Take another...Ch. 4.10 - What questions do you have about this lesson?Ch. 4.10 - The equation y=10,000(1.06)x describes the growth...Ch. 4.10 - Prob. 2ACh. 4.10 - The equation y=10,000(1.06)x...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - The model in Questions 1-3 is an example of...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - Prob. 7ACh. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - When an initial amount of P dollars is invested at...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...Ch. 4.10 - One of the best reasons for understanding...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Statement:If 2 | a and 3| a, then 6 a. So find three integers, and at least one integer should be negative. For each of your examples, determine if the statement is true or false.arrow_forwardStatement: If 4 | a and 6 | a, then 24 | a. So find three integers, and at least one integer should be negative. For each of your examples, determine if the statement is true or false.arrow_forward2) dassify each critical point of the given plane autovers system x'=x-2x²-2xy y' = 4y-Sy³-7xyarrow_forward
- Evaluate the next integralarrow_forward1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative maximum and minimum values of f. (a) f(x) = x² - 2x²+3 (b) f(x) = (x+1)5-5x-2 (c) f(x) = x2 x-9 2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f. (a) f(x) = x - 2x²+3 (b) g(x) = x³- x (c) f(x)=x-6x3 + x-8 3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test. (a) f(x)=1+3x² - 2x3 (b) g(x) = 2x3 + 3x² - 12x-4arrow_forward24.2. Show that, for any constant zo Є C, (a). e* = e²o Σ j=0 (2 - 20); j! |z|arrow_forwardQuestion 10 (5 points) (07.04 MC) Vectors u and v are shown in the graph. -12-11 -10 -9 -8 -7 -6 -5 What is proju? a -6.5i - 4.55j b -5.2i+2.6j с -4.7631 3.334j d -3.81i+1.905j < + 10 6 5 4 3 2 -3 -2 -10 1 -1 -2 -3 u -4 -5 -6 -7arrow_forward25.4. (a). Show that when 0 < || < 4, 1 1 8 zn 4z - z2 4z +Σ 4n+2* (b). Show that, when 0 < |z1|<2, n=() 2 1 8 (z - 1)(z - 3) - 3 2(z - 1) 3 Σ (2-1)" 27+2 n=0 (c). Show that, when 2<|z|< ∞, 1 z4+4z2 -*()*. n=0arrow_forwardFind the Soultion to the following dy differential equation using Fourier in transforms: = , хуо, ухо according to the terms: lim u(x,y) = 0 x18 lim 4x (x,y) = 0 x14 2 u (x, 0) = =\u(o,y) = -y لوarrow_forward. Expand sinh z in Taylor's series at zo = πi, and show that lim sinh: καπί κ - п - - 1.arrow_forwardQ prove or disprove: If Ely/x) = x = c(dipy =BCCo (BVC) ECxly)=y, and E(X2), Ely)arrow_forward24.3. Show that 8 (a). =(+1)(z+1)*, |+1|<1, j=0 8 (b). sin³ z j=0 (-1) 3(1-9) 4 (2j+1)! 22j+1, |<∞,arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Quadrilaterals: Missing Angles and Sides; Author: rhornfeck;https://www.youtube.com/watch?v=knVj1O0L2TM;License: Standard YouTube License, CC-BY
STD IX | State Board | Types of Quadrilateral; Author: Robomate;https://www.youtube.com/watch?v=wh0KQ4UB0EU;License: Standard YouTube License, CC-BY