Question: How many solutions are there to x1 + x2 + x3 + x4 75 where xi 0 for all i, 1 i 4? Idea:

How many solutions are there to x1 + x2 + x3 +

How many solutions are there to x1 + x2 + x3 + x4 75 where xi 0 for all i, 1 i 4? Idea: Introduce a new variable x5 to count all the unused 75 items. This is sometimes called a slack variable.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Introducing a slack variable x5 to count the unused items we can rewrite the inequality as follows x... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

How many solutions are there for the map-coloring problem inFigure? NT WA Northern Territory Queensland SA NSW Western Australia South Australia New South Wales Victoria Tasmania (a) (b)

a. How many possible solutions are there to this problem? b. Design a spreadsheet model for this problem. How many pieces of stock would have to be cut to produce the windows in this half-hour of...

(a) How many nonnegative integer solutions are there to the pair of equations x1 + x2 + x3 + . . . + x7 = 37, x1 + x2 + x3 = 6? (b) How many solutions in part (a) have x1, x2, x3 > 0?

If n is a positive integer, how many 4-tuples of integers from 1 through n can be formed in which the elements of the 4-tuple are written in increasing order but are not necessarily distinct? In...

This question considers representing satisfiability (SAT) problems as CSPs. a. Draw the constraint graph corresponding to the SAT problem ( X 1 X 2 ) ( X 2 X 3 ) . . . ( X n1 X n ) for the...

15 This question considers representing satisfiability (SAT) problems as CSPs. a. Draw the constraint graph corresponding to the SAT problem (X1 X2) (X2 X3) . . . (Xn1 Xn) for the particular...

Discrete Math 1: Please explain and prove each step with clear handwriting, and write every detail so that I can understand for future problems. This is discrete math one so please do not make it...

(a) If n and r are positive integers with n r, how many solutions are there to x1 + x2 + ... + xr = n where each xt is a positive integer, for 1 i r? (b) In how many ways can a positive integer n...

The accompanying data set contains three numerical variables, x 1 , x 2 , and x 3 , and one categorical variable, x 4 . a. For x 4 , how many of the observations are less than three? b. Sort x 1 , x...

Exercise_1.21. The accompanying data set contains three numerical variables, x1, x2, and x3, and one categorical variable, x4. a. For x4, how many of the observations are less than three? b. Sort x1,...

Problems 1. Find the shortest path between A and G in the following network (distance in km): 10 B E 6 8 7 6 D 5 G 2 9 8 2 FL.

Portfolio Returns and Deviations consider the following information about three stocks: a. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected...

In labor contracts, _ _ _ _ _ _ _ provide an orderly system for employers and unions to determine if an action has violated the contract. Question 9 options: grievance procedures authorization...

A- For the following activities: Activities Preceded by Duration (days) 2 A 3 E A 2. B 1 4. G,E F,H By using CPM, choose project duration from these answers: 1-8 days 2- 10 days 3- 12 days 4- 14 days...

For the following data: Fixed cost = 120,000 $ Variable cost per unit = 350 $ Selling price per unit=550 $ a. Find a number of units (Units of Production) to verify BEP. Find BEP. b.Find a number of...

For the following data: Fixed cost = 120,000 $ Variable cost per unit = 350 $ Selling price per unit=550 $ a. Find number of unit (Units of Production) to verify BEP. Find BEP. b.Find number of unit...

This part requires you to refer to the operational plan you developed for Bounce Fitness and develop strategies to recruit new staff and train existing staff to ensure you can meet the operational...

Identify at least four (4) physical resources which you might need to acquire at Bounce Fitness and complete the table below. In your table you need to make recommendations for changing acquisition...

12. The following purchases budget was prepared by Abundant Corp. Month Budget purchases Month Jan. P500,000 April Budget purchases. P400,000 Feb. 450,000 May March Purchases are paid in the...

I need it as soon as possible UNDER 30 MIN. Please double-check and make sure all the answers are 100% correct! Thank you! O O CO Z 9 sin(x) - 8 = 0 I 7 sin(x) - 9 = 0 MacBook Air > 89 LO LL ( How...

MATHEMATICS FOR MACHINE LEARNING Marc Peter Deisenroth A. Aldo Faisal Cheng Soon Ong Contents Foreword 1 Part I Mathematical Foundations 9 1 Introduction and Motivation 11 1.1 Finding Words for...

I have this assignment for linear algebra and I am not sure how to do it. I was able to get the first 2 parts of this assignment, but the last part I am not sure how to do. Here is the function that...

Question number 1. How many solutions does the following equation have over the interval [0,2)? 9sin(x)8=0 3 4 2 0 1 None of the above. Question number 2. How many solutions does the following...

Section 10.1 1. Solve the given system of equations. If the system has no solution, say that it is inconsistent. X - 2y + 3z = 11 2x + y + z= -3 - 3x + 2y - 2z = -4 Select the correct choice below...

1. Each of the following parts has one or more correct answers. Choose all of the correct answers from the list in each part. and explain your answer . One way (but not the only way) to explain your...