Compute the number of non-negative integers solutions of the following equation:
x1 + 2x2 + 4x3 + 12x4 + x5 = n,
where 0 x1 3, and 1 x2 6.
Please show all detailed steps and reasoning.
Compute the number of non-negative integers solutions of the following equation: x1 + 2x2 + 4x3...
)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?
Use a software program or a graphing utility to solve the system of linear equation solve for X1, X2, X3, and x4 in terms of t.) x1 - x2 + 2x3 + 2x4 + 6x5 = 13 3x1 - 2x2 + 4x3 + 4x4 + 12x5 = 27 X2 - X3 - X4 - 3x5 = -7 2x1 - 2x2 + 4x3 + 5x4 + 15x5 = 28 2x1 - 2x2 + 4x3 + 4x4 + 13x5 = 28 (X1,...
Consider the following Linear Problem Minimize 2x1 + 2x2 equation (1) subject to: x1 + x2 >= 6 equation (2) x1 - 2x2 >= -18 equation (3) x1>= 0 equation (4) x2 >= 0 equation (5) 13. What is the feasible region for Constraint number 1, Please consider the Non-negativity constraints. 14. What is the feasible region for Constraint number 2, Please consider the Non-negativity constraints. 15. Illustrate (draw) contraint 1 and 2 in a same graph and find interception...
Find the solutions of 2x1-3x2-7x3+5x4+2x5=-2 x1-2x2-4x5+3x4+x5=-2 2x1+0x2-4x3+2x4+x3=3 x1-5x2-7x3+6x4+2x5=-7
*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.
Find all solutions to the system using the Gauss-Jordan elimination algorithm. X1 + 2x2 + 2x3 = 12 4x3 24 442 + 12x3 = 24 + 4x2 + 8x1 4x1 + Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system has a unique solution. The solution is x1 = X2 = X3 = X2 = X3 = S. - <s<00. OB. The system has an infinite number of...
How many non-negative integer solutions are there to the following problem? x1 + x2 + x3 = 10 where x1 >= 2
3. Consider the following LP. Maximize u = 4x1 + 2x2 subject to X1 + 2x2 < 12, 2x1 + x2 = 12, X1, X2 > 0. (a) Use simplex tableaux to find all maximal solutions. (b) Draw the feasible region and describe the set of all maximal solutions geometrically.
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).
Probabilities Compute P(X1 + 2X2 -2X3 > 7) , where X1, X2, X3 are iid random variables with common distribution N(1,4). You must give the numerical answer. Specify and show any formulas used for E, P, and Var for example Var( X1 + 2X2 -2X3) = 4 + 22(4) + (-2)2(4) = 35. Please specify how all the individual numbers where obtained and the formula used.