How many non-negative integer solutions are there to the following problem?
x1 + x2 + x3 = 10 where x1 >= 2
How many non-negative integer solutions are there to the following problem? x1 + x2 + x3...
)Consider the non-negative integer solutions to x1 + x2+ x3 + x4 + x5 = 2020. (A) How many solutions does Equation (1) have satisfying 0 ≤ x1 ≤ 100? Explain. (B) Remember to explain your work. How many solutions does Equation (1) have satisfying 0 ≤x1 ≤ 100, 1 ≤x2 ≤ 150, 10 ≤x3 ≤ 220?
How many integer solutions are there for the inequality : x1 + x2 + x3 + x4 ≤ 15 (a) if xi ≥ 0 (b) if 6 ≥ x1 ≥ 1, 6 ≥ x2 ≥ 1, x3 ≥ 0, x4 > 0 How many integer solutions are there for the inequality : x++ (a) if z 20 How many integer solutions are there for the inequality : x++ (a) if z 20
Determine the number of integer solutions of x1 + x2 + x3 + x4-32, where a) xi 2 0, 1 3is4 b) x1, x2 2 2, x3, X4 2 1
Determine the number of integer solutions of x1 + x2 + x3 + x4 = 17, which x1 , x2 , x3 > 0 and 0 <= x4 <= 10
Determine all the integer solutions to the equation X1 + X2 + X3 + X4-7 where xj 2 0 for all i - 1,2,3,4
*26. By counting in two ways the number of non-negative integer solutions of the inequality X1 +X2 + . . . + xr 〈 n, prove that n+r- 1 r-1 nt r Interpret this result in Pascal's triangle. *26. By counting in two ways the number of non-negative integer solutions of the inequality X1 +X2 + . . . + xr 〈 n, prove that n+r- 1 r-1 nt r Interpret this result in Pascal's triangle.
(a) How many vectors (x1, x2, x3, . . . , xn) are there for which each xi is either 0 or 1 and x1 + x2 + · · · + xn = k. (b) Do the same problem as before but under the condition that x1 + x2 + · · · + xn ≥ k.
Maximize Z 34 X1 43 X2 29 X3 Subject to: 5 X1 + 4 X2+ 7 X3 s50 1X1+2X2+2X3s16 3 X14 X2+1 X3 s 9 all Xi are integer and non-negative Use Excel QM. If one uses the optimal solution presented, how much slack is there in the first constraint equation? 03
Please explain the conception and follow the comment How many possible solutions exists for the equation x1 + x2 + x3 = 7 when x1; x2; x3 are non-negative integers (i.e. x1; x2; x3 2 f0; 1; 2; 3; :::g).
In a model, x120 and integer, x2 20, and x3 20 and integer. Which solution would not be feasible? O x1 1x2 0.5 x3 0 O x1 -3 x2 2 x3 1 O x1 2.5 x2 1.5 x3 2 x1 2 x2 2.5 x3 3 In a model, x120 and integer, x2 20, and x3 20 and integer. Which solution would not be feasible? O x1 1x2 0.5 x3 0 O x1 -3 x2 2 x3 1 O x1 2.5...