8. Minimize z - 8x1 + 6x2 + 11x3 subject to 5x1 x2 + 3x3 s 4 5x1 + x2 + 3x3 2 2 2x, + 4x2 + 7x3 s.5 2x1 + 4x2 + 7x3 2 3 X1 + X2 + X3 = 1 (a) State the dual problem. (b) Solve both the primal and the dual problem with any method that works. (c) Check that your optimal solutions are correct by verifying they are feasible and the primal and...
Problem No. 2.7 10 Pa 3 x-72 +4x3 5 -2x1+6x2-7x3-2 x4-5 x-4x2 +3 x3 +2x4-6 Solve the system of linear equations by modifying it to REF and to RREF using elementary equivalent operations. Show REF and RREF of the system Show all your work, do not skip steps Displaying only answer is not enough to get credit. Matrices may not be used
Perform the indicated operation. (-8x° + 6x2 - 10x + 7) + (7x° +8x² - 6x-7). Write the polynomial in standard form. (- 8x² + 6x2 - 10x + 7) + (7x° + 8x2 - 6x – 7) = 0
Consider the following all-integer linear program: Max x1+x2 s.t 4x1+6x2 <= 22 x1+5x2<= 15 2x1+x2<=9 x1,x2>=0 integer Solve in Excel Solver and AMPL.
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
Multiple Choice: 1. Simplify "1-2x-x+5x-3x2+15+x3 a) x3-4x2+3x -1 (b) x2-4x2 +3x +1 (c) x3-4x-3x +1 (d)+4x +3x +1 2. Expand "logly' x3 a) 2(Logly)+3logx)) ( (d) 2logl)+3loglv) (b) 3log(x) 2logly) (c) 6log(x)logly) 3. quals 5 (b) 55 (c) 64 (d) 10 a) 62
Consider the linear system x1 +4x2 = 0 4x1 +x2 = 0 The true solution is x1 = ?1=15, x2 = 4=15. Apply the Jacobi and Gauss-Seidel methods with x(0) = [0; 0]T to the system and nd out which methods diverge more rapidly. Next, interchange the two equations to write the system as 8< : 4x1 +x2 = 0 x1 +4x2 = 0 and apply both methods with x(0) = [0; 0]T . Iterate until jjx?x(k)jj 10?5. Which method...
| 2x2 + 12x – 18 J (x + 3)(x2 +9) The integrand has the following partial fraction decomposition: 2x2 + 12x – 18 _ (x + 3)(x2 +9) A X+3 Bx + C x2 +9 (a) Determine the value of the following constants: A = (b) Evaluate the indefinite integral. 48 dx. | 8r3 + 6x2 + 80x + 48, x4 + 16x2 The integrand has the following partial fraction decomposition: x2 2 + + Cx+D x ' x2...
Perform the indicated operation, if possible. - 9 3 -1 9 - 2 - 9 - 6 - 8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. 9 3 -1 9 - 2 - 9 (Simplify your answer.) - 6-8 OB. The operation is not possible.
just number 16 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x