Question: Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if (a) 0 x1 for all 1

Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if
(a) 0 ≤ x1 for all 1 ≤ i ≤ 4
(b) 0 ≤ x1 < 8 for all 1 ≤ i ≤ 4
(c) 0 ≤ x1 ≤ 5, 0 ≤ x2 ≤ 6, 3 ≤ x3 ≤ 7, 3 ≤ x4 ≤ 8

Step by Step Solution

★★★★★

3.37 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

x 1 x 2 x 3 x 4 19 a 0 x i 1 i 4 b For 1 i 4 let c i x i 8 Nc i x 1 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

Document Format (1 attachment)

954-M-L-A-L-S (7939).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

(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?

(a) Determine the number of nonnegative integer solutions to the pair of equations x1 + x2 + x3 = 6. x1 + x2 + ... + x5 = 15. xi 0, 1 i 5. (b) Answer part (a) with the pair of equations replaced...

Determine the number of integer solutions to x1 + x2 + x3 + x4 = 19 where - 5

Determine how many integer solutions there are to x1 x2 x3 x4 20 if 0 x1 3 0 x2 4 0 x3 5 0 x4 6

1) a) How many 16 bit strings of 0's and 1's contain exactly 7 1's? b) How many 16 bit strings of 0's and 1's contain at least one 1? c) How many 16 bit strings contain at least 13 1's? 2) Eleven...

Hi, I need help, if you can write in computer, it would be better, but really i care about the correct solution and steps. The excersie is just one but I leave one example about like solve it EXAMPLE...

How many non-negative integer solutions are there to x1 + x2 + x3 + x4 = 17 with the following restrictions: x1 5 and 1 x2 4 and x3 4

1-1-2. Find the simplex tableau with respect to the initial basis B = {S1, S2}. Is it feasible? (Circle Yes/No) If no, perform the dual simplex method. Circle the leaving basic variable will leave...

How many solutions are there to x 1 + x 2 + x 3 + x 4 + x 5 + = 19 if each x I must be a positive integer?

The Bayside Art Gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of Bayside's eight exhibition rooms is shown in figure below; the openings...

Madison Makeup reported the following on its most recent financial statements (in $ millions). Fill in the highlighted cells. Miscellaneous financial information 2019 2020 Taxes paid ?? 528 Interest...

How does the quick asset ratio differ from the current ratio? Explain.

Why is the Operations Section Chief seen as the commander of the tactical operations units?

You have six hours to study for two exams tomorrow. The following table shows the relationship between hours of study and test scores: E co n o m ics P sych o lo g y H o u rs Score H o u rs Score 0...

In Exercises 1-3, find the solution set of each equation. 1. 3x - 6y = 0 2. 2x1 + 3x2 = 5 3. x + 2y + 3z = 4

In Exercises 1-3, draw graphs corresponding to the given linear systems. Determine geometrically whether each system has a unique solution, infinitely many solutions, or no solution. Then solve each...

In Exercises 1-3, solve the given system by back substitution. 1. x - 2y = 1 y = 3 2. 2u - 3v = 5 2v = 6 3. x - y + z = 0 2y - z = 1 3z = - 1

Step by step solutions. Problem 30: Integer solutions of cubics ( vVV ) (i) Show that, if in is an integer such that (m - 3)' + m = (m + 3) then m' is a factor of 54. Deduce that there is no integer...

How many cups of frozen yogurt would have to be sold in order for the firm to reach its projected revenues of $1.2 million? NOTE: Each small cup of yogurt is sold for $3 and the cost of producing the...

Based on the information below, calculate the weighted average cost of capital. Great Corporation has the following capital situation. Debt: One thousand bonds were issued five years ago at a coupon...