PROB SOLV APPROACH FOR TEACHERS MYLAB
12th Edition
ISBN: 9780137657988
Author: BILLSTEIN
Publisher: INTER PEAR
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Chapter 8.5, Problem 12MC
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(c) Describe the distribution plan and show the total distribution cost.
Optimal Solution
Amount
Cost
$ 2000
Southern-Hamilton
200
Southern-Butler
$
Southern-Clermont
300
4500
Northwest-Hamilton
200
$2400
Northwest-Butler
200
$3000
Northwest-Clermont
$
Total Cost
ક
(d) Recent residential and industrial growth in Butler County has the potential for increasing demand by 100 units.
(i) Create an updated distribution plan assuming Southern Gas becomes the preferred supplier.
Distribution Plan with Southern Gas
Amount
Southern-Hamilton
$
Cost
×
Southern-Butler
x
$
Southern-Clermont
300
$ 4500
Northwest-Hamilton
64
x
Northwest-Butler
$
×
Northwest-Clermont 0
$0
Total Cost
$
(ii) Create an updated distribution plan assuming Northwest Gas becomes the preferred supplier.
Distribution Plan with Northwest Gas
Southern-Hamilton
Southern-Butler
0
Southern-Clermont
Northwest-Hamilton
Northwest-Butler
Northwest-Clermont
Total Cost
Amount
×
x
x
+7
$0
Cost
×
$
×
$
×
+4
$
-/+
$
×
×
The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows.
Warehouse
Plant
Capacity
1
2
1
4
7
450
2
8
5
600
3
5
6
380
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows.
Customer
Warehouse
1
2 3
1
6
4
8
2
3
6
7
7
Demand
300 300 300 400
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
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(b) Formulate a linear programming model of the problem. (Let Plant 1 be node 1, Plant 2 be node 2, Plant 3 be node 3, Warehouse 1 be node 4, Warehouse 2 be node 5, Customer 1 be node 6, Customer 2 be node 7, Customer 3 be node 8, and Customer 4 be node 9. Express your answers in the form x;;, where x,; represents the number of units shipped from
node i to node j.)
Min 4x14+8x24+5x34+7x15 +5x25…
A linear programming computer package is needed.
Hanson Inn is a 96-room hotel located near the airport and convention center in Louisville, Kentucky. When a convention or a special event is in town, Hanson increases its normal room rates and takes reservations based on a revenue management system. A large profesional organization has scheduled its annual convention in Louisville for the first weekend in June. Hanson Inn agreed to make at least 50% of its
rooms available for convention attendees at a special convention rate in order to be listed as a recommended hotel for the convention. Although the majority of attendees at the annual meeting typically request a Friday and Saturday two-night package, some attendees may select a Friday night only or a Saturday night only reservation. Customers not attending the convention may also request a Friday and
Saturday two-night package, or make a Friday night only or Saturday night only reservation. Thus, six types of reservations are…
Chapter 8 Solutions
PROB SOLV APPROACH FOR TEACHERS MYLAB
Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC
Ch. 8.1 - Connecting Mathematics to the Classroom Jim asked,...Ch. 8.1 - Connecting Mathematics to the Classroom A student...Ch. 8.1 - Prob. 14MCCh. 8.1 - A student says that she saw online that the...Ch. 8.1 - Prob. 16MCCh. 8.1 - Jose says that the equation x=3 has no solution,...Ch. 8.1 - MATHEMATICAL CONNECTIONS A student wants to know...Ch. 8.1A - Write an irrational number whose digit are 2s and...Ch. 8.1A - Use the Pythagorean Theorem to find the value of...Ch. 8.1A - Arrange the following real numbers in order from...Ch. 8.1A - Determine which of the following if any represent...Ch. 8.1A - If possible, find the each of the following...Ch. 8.1A - Find the Approximate square root of each of the...Ch. 8.1A - Classify each of the following statements as true...Ch. 8.1A - Find the irrational numbers between each of the...Ch. 8.1A - Based on your answer in exercise 8, argue that...Ch. 8.1A - If R is the set of real number, Q is the set of...Ch. 8.1A - ASSESSMENT The letters in the following table...Ch. 8.1A - ASSESSMENT The letters in the following table...Ch. 8.1A - ASSESSMENT Determine for what real number values...Ch. 8.1A - ASSESSMENT Write each of the following roots in...Ch. 8.1A - ASSESSMENT Write each of the following in the...Ch. 8.1A - Prob. 16ACh. 8.1A - ASSESSMENT The expression 21016t approximates the...Ch. 8.1A - Prob. 18ACh. 8.1A - ASSESSMENT In each of the following, find all real...Ch. 8.1A - ASSESSMENT Write an equation in x not involving...Ch. 8.1A - Prob. 21ACh. 8.1A - ASSESSMENT Determine which of the following are...Ch. 8.1B - Prob. 1ACh. 8.1B - Prob. 2ACh. 8.1B - Prob. 3ACh. 8.1B - Prob. 4ACh. 8.1B - Prob. 5ACh. 8.1B - Prob. 6ACh. 8.1B - Prob. 7ACh. 8.1B - Prob. 8ACh. 8.1B - If R is the set of real numbers, Q is the set of...Ch. 8.1B - The letters in the table correspond to the sets...Ch. 8.1B - Prob. 12ACh. 8.1B - Prob. 13ACh. 8.1B - Prob. 14ACh. 8.1B - Prob. 15ACh. 8.1B - Prob. 17ACh. 8.1B - Prob. 18ACh. 8.1B - In each of the following, find all real numbers x...Ch. 8.1B - Prob. 20ACh. 8.2 - Student were asked to write an algebraic...Ch. 8.2 - a. Choose seven consecutive term in any arithmetic...Ch. 8.2 - A teacher instructed her class as follows: Take...Ch. 8.2 - A teacher instructed her class to take any number...Ch. 8.2 - Give an example of geometric sequence whose first...Ch. 8.2 - Prob. 6MCCh. 8.2 - Prob. 7MCCh. 8.2 - A student wonders if sets can ever be considered...Ch. 8.2 - A student thinks that if A and B are sets, then...Ch. 8.2 - A student wants to know how can she prove that a...Ch. 8.2 - Prob. 11MCCh. 8.2 - Prob. 12MCCh. 8.2 - Prob. 13MCCh. 8.2 - Prob. 14MCCh. 8.2 - Find all integers n such that n503n+1.Ch. 8.2 - Prob. 1NAEPCh. 8.2 - 2+n 5 3+n 6 4+n 7 5+n 8 What number does n...Ch. 8.2 - A. If c and d are different prime numbers less...Ch. 8.2A - Translate the following phrases into algebraic...Ch. 8.2A - Prob. 2ACh. 8.2A - In the tile pattern sequence of figures shown,...Ch. 8.2A - In the following descriptions, write an expression...Ch. 8.2A - In a college, there are P professors and S...Ch. 8.2A - Suppose a class has g girls and b boys, and there...Ch. 8.2A - Ryan is building matchstick sequences as shown....Ch. 8.2A - Prob. 8ACh. 8.2A - For a particular event, a student pays 5 per...Ch. 8.2A - Prob. 10ACh. 8.2A - In each of the following arithmetic sequences,...Ch. 8.2A - Prob. 12ACh. 8.2A - Find the first term and the difference in an...Ch. 8.2A - Prob. 14ACh. 8.2A - A ball is dropped from a height of 10 ft and...Ch. 8.2A - Jake bought contact lenses and was told to wear...Ch. 8.2A - In a Fibonacci-like sequence, the first term is 2,...Ch. 8.2B - Translate the following phrases into algebraic...Ch. 8.2B - Prob. 2ACh. 8.2B - Discover a possible tile pattern in the following...Ch. 8.2B - In the following descriptions, write an expression...Ch. 8.2B - Prob. 5ACh. 8.2B - Suppose there are c chairs and t tables in a...Ch. 8.2B - Prob. 7ACh. 8.2B - Prob. 8ACh. 8.2B - For a particular event, students pay d per ticket...Ch. 8.2B - Matt has twice as many as stickers as David. If...Ch. 8.2B - Prob. 11ACh. 8.2B - Prob. 12ACh. 8.2B - Prob. 13ACh. 8.2B - Prob. 14ACh. 8.2B - A ball is dropped from a height of 20 meters and...Ch. 8.2B - Consider the following arithmetic sequences....Ch. 8.3 - Students were asked to find three consecutive...Ch. 8.3 - Prob. 2MCCh. 8.3 - Prob. 3MCCh. 8.3 - Prob. 4MCCh. 8.3 - Create an equation with x on both sides of the...Ch. 8.3 - Prob. 6MCCh. 8.3 - Prob. 7MCCh. 8.3 - Prob. 8MCCh. 8.3 - Prob. 9MCCh. 8.3 - Prob. 10MCCh. 8.3 - Prob. 11MCCh. 8.3 - Prob. 12MCCh. 8.3 - Prob. 13MCCh. 8.3 - Prob. 14MCCh. 8.3 - Prob. 15MCCh. 8.3 - Write an algebraic equation relating the variables...Ch. 8.3 - a. Show that the sum of every three consecutive...Ch. 8.3 - Prob. 18MCCh. 8.3 - Prob. 19MCCh. 8.3 - Prob. 1NAEPCh. 8.3 - Prob. 2NAEPCh. 8.3A - Consider the balances: What is the value of each...Ch. 8.3A - Solve each of the following if x is a real number....Ch. 8.3A - Ryan is building a matchstick square sequences so...Ch. 8.3A - For a particular event, 812 tickets were sold for...Ch. 8.3A - An estate of 486,000 is left to three siblings....Ch. 8.3A - A 10 ft board is to be cut into three pieces, two...Ch. 8.3A - Prob. 7ACh. 8.3A - Miriam is 10 years older than Ricardo. Two years...Ch. 8.3A - In a college, 20 times as many undergraduate...Ch. 8.3A - A farmer has 1200 yd of fencing to enclose a...Ch. 8.3A - The sum of three consecutive terms in the...Ch. 8.3A - Prob. 12ACh. 8.3B - Consider the following balances: a. Which shape...Ch. 8.3B - Prob. 2ACh. 8.3B - Prob. 3ACh. 8.3B - Prob. 4ACh. 8.3B - Prob. 5ACh. 8.3B - Prob. 6ACh. 8.3B - Prob. 7ACh. 8.3B - Prob. 8ACh. 8.3B - Prob. 9ACh. 8.3B - Prob. 10ACh. 8.3B - Prob. 11ACh. 8.3B - Prob. 12ACh. 8.4 - Prob. 1MCCh. 8.4 - Prob. 2MCCh. 8.4 - If S is the set of students in Ms. Carmels class,...Ch. 8.4 - Answer the following about f(x)=2x, an exponential...Ch. 8.4 - Prob. 6MCCh. 8.4 - Prob. 9MCCh. 8.4 - Prob. 10MCCh. 8.4 - Prob. 11MCCh. 8.4 - Prob. 12MCCh. 8.4 - Prob. 13MCCh. 8.4 - Prob. 16MCCh. 8.4 - Prob. 17MCCh. 8.4 - Prob. 18MCCh. 8.4 - Prob. 19MCCh. 8.4 - Prob. 20MCCh. 8.4 - Prob. 21MCCh. 8.4 - Prob. 22MCCh. 8.4 - Prob. 23MCCh. 8.4 - Prob. 24MCCh. 8.4 - Prob. 25MCCh. 8.4 - Prob. 1NAEPCh. 8.4 - Prob. 2NAEPCh. 8.4 - Prob. 3NAEPCh. 8.4A - Prob. 1ACh. 8.4A - Which of the following are function from the set...Ch. 8.4A - a. Draw an arrow diagram of a function with domain...Ch. 8.4A - Suppose f(x)=2x+1 and the domain {0,1,2,3,4}....Ch. 8.4A - Prob. 5ACh. 8.4A - a. Make an arrow diagram for each of the...Ch. 8.4A - The dosage of a certain drug is related to the...Ch. 8.4A - For each of the following, guess what might be...Ch. 8.4A - Quick-Talk advertises monthly cellualr...Ch. 8.4A - For each of the following sequenceseither...Ch. 8.4A - Consider the following two function machines. Find...Ch. 8.4A - In problem 11, find the all inputs for which the...Ch. 8.4A - a. Repeat exercise 11 when the bottom machine...Ch. 8.4A - Consider the function f(x)=x+b, where b is a...Ch. 8.4A - Let t(n) represent the nth term of a sequence for...Ch. 8.4A - Prob. 16ACh. 8.4A - Consider a function machine that accepts inputs as...Ch. 8.4A - The following graph shows the relationship between...Ch. 8.4A - A ball is shot out of a cannon at ground level....Ch. 8.4A - Prob. 20ACh. 8.4A - Prob. 21ACh. 8.4A - Which of the following equations or inequalities...Ch. 8.4A - Which of the following are graphs of fucntions and...Ch. 8.4A - Prob. 24ACh. 8.4A - Prob. 25ACh. 8.4A - Prob. 26ACh. 8.4B - Prob. 1ACh. 8.4B - Prob. 2ACh. 8.4B - Prob. 4ACh. 8.4B - Prob. 5ACh. 8.4B - Prob. 6ACh. 8.4B - Prob. 7ACh. 8.4B - Prob. 8ACh. 8.4B - Prob. 9ACh. 8.4B - Prob. 10ACh. 8.4B - Prob. 11ACh. 8.4B - In problem 11, find the all inputs for which the...Ch. 8.4B - Prob. 13ACh. 8.4B - Prob. 14ACh. 8.4B - Prob. 15ACh. 8.4B - Prob. 16ACh. 8.4B - Prob. 17ACh. 8.4B - Prob. 18ACh. 8.4B - Prob. 19ACh. 8.4B - Prob. 20ACh. 8.4B - Assume the pattern continues for each of the...Ch. 8.4B - Prob. 22ACh. 8.4B - Prob. 23ACh. 8.4B - Prob. 24ACh. 8.4B - Prob. 25ACh. 8.4B - Prob. 26ACh. 8.4B - Prob. 27ACh. 8.5 - In this chapter, an arithmetic sequence was...Ch. 8.5 - Prob. 2MCCh. 8.5 - Prob. 3MCCh. 8.5 - Prob. 4MCCh. 8.5 - Prob. 5MCCh. 8.5 - Prob. 6MCCh. 8.5 - Prob. 7MCCh. 8.5 - Prob. 8MCCh. 8.5 - A student would like to know why it is impossible...Ch. 8.5 - Prob. 12MCCh. 8.5 - Prob. 13MCCh. 8.5 - Janis noticed that in the simultaneous equations...Ch. 8.5 - Prob. 15MCCh. 8.5 - Prob. 16MCCh. 8.5 - Prob. 17MCCh. 8.5 - Prob. 18MCCh. 8.5 - Prob. 19MCCh. 8.5 - Prob. 20MCCh. 8.5 - Prob. 1NAEPCh. 8.5 - Prob. 2NAEPCh. 8.5A - The graph of y=mx is given in the following...Ch. 8.5A - Prob. 2ACh. 8.5A - Find the x-intercept and y-intercept for the...Ch. 8.5A - In the following figure, part i shows a dual-scale...Ch. 8.5A - Write each of the following equations in...Ch. 8.5A - For each of the following, write the equation of...Ch. 8.5A - Find the coordinates of two other collinear points...Ch. 8.5A - Prob. 8ACh. 8.5A - Prob. 9ACh. 8.5A - Find the equation for each of the following lines....Ch. 8.5A - For each of the following, find the slope, if...Ch. 8.5A - Write the equation of each line in exercise 11....Ch. 8.5A - Prob. 13ACh. 8.5A - The lines AB and BC shown in the figure are graph...Ch. 8.5A - What do the graphs of the following equations have...Ch. 8.5A - Suppose a car is travelling at constant speed of...Ch. 8.5A - Solve each of the following systems, if possible....Ch. 8.5A - The owner of a 5000-gal oil truck loads the truck...Ch. 8.5A - Josephines bank contains 27 coins. If all the...Ch. 8.5B - Prob. 2ACh. 8.5B - ASSESSMENT 8-4B Find the x-intercept and...Ch. 8.5B - Prob. 4ACh. 8.5B - Prob. 5ACh. 8.5B - Prob. 6ACh. 8.5B - ASSESSMENT 8-4B Find the coordinates of two other...Ch. 8.5B - Prob. 8ACh. 8.5B - Prob. 9ACh. 8.5B - ASSESSMENT 8-4B Find the equation for each of the...Ch. 8.5B - ASSESSMENT 8-4B For each of the following, find...Ch. 8.5B - ASSESSMENT 8-4B Write the equation of each line in...Ch. 8.5B - Prob. 13ACh. 8.5B - Prob. 14ACh. 8.5B - Prob. 15ACh. 8.5B - Prob. 16ACh. 8.5B - Solve each of the following systems, if possible....Ch. 8.CR - Chapter 7 Review Classify each of the following as...Ch. 8.CR - Prob. 2CRCh. 8.CR - Chapter 7 Review Answer each of the following and...Ch. 8.CR - Prob. 4CRCh. 8.CR - Approximate 23 to two decimal places by using the...Ch. 8.CR - Each of the following is a geometric sequence....Ch. 8.CR - Prob. 7CRCh. 8.CR - Prob. 8CRCh. 8.CR - There are 13 times as many students as professors...Ch. 8.CR - Prob. 10CRCh. 8.CR - Write an equation to find the number of feet given...Ch. 8.CR - The sum of n whole numbers is S. If each number is...Ch. 8.CR - I am thinking a whole number. If I divide it by...Ch. 8.CR - a. Think of a number. Add 17. Double the result....Ch. 8.CR - Find all the values of x that satisfy the...Ch. 8.CR - Mike has 3 times as many baseball cards as Jordan,...Ch. 8.CR - Jeannie has 10 books overdue at the library. She...Ch. 8.CR - Three children deliver all the newspapers in a...Ch. 8.CR - Which of the following sets of ordered pairs are...Ch. 8.CR - Prob. 20CRCh. 8.CR - Prob. 21CRCh. 8.CR - Prob. 22CRCh. 8.CR - Prob. 23CRCh. 8.CR - Prob. 24CRCh. 8.CR - Prob. 25CRCh. 8.CR - Graph each of the following equations: a. y=-2x+5...Ch. 8.CR - Prob. 27CRCh. 8.CR - Prob. 28CRCh. 8.CR - Prob. 29CRCh. 8 - Prob. 1NTCh. 8 - Prob. 2NTCh. 8 - Prob. 4NTCh. 8 - Prob. 5NTCh. 8 - Prob. 6NTCh. 8 - NOW TRY THIS Solve the Newspaper Delivery problem...Ch. 8 - NOW TRY THIS Determine which of the following are...Ch. 8 - Prob. 9NTCh. 8 - Prob. 10NTCh. 8 - Prob. 11NTCh. 8 - NOW TRY THIS a. Use the slope formula to find the...Ch. 8 - Prob. 13NT
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