Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- Use the simplex method to solve the linear Maximize z=x, + 3x2 + X3 + 9x4 programming problem. subject to: x1 + 5x2 + X3 + X4 <56 4x1 + X2 + 3x3 + + X4 < 101 with X1 2 0, x2 2 0, X3 2 0, X4 2 0. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x1 X2 = X3 and X4 (Simplify your answers.) B. There is no maximum.arrow_forwardAfter adding slack variables x5, X6, and x, and solving by the simplex method, 1. Consider the linear programming problem Maximize z = x+ 2x2 +X3 + X4 %3D subject to 2x1 + x2 + 3x3 + x4 5 8 + 4x4 s 12 2x1 + 3x2 s 18 3x1 + x2 + 2x3 x, 20 1sjs 4. we obtain the final tableau shown below. 1 CB X3 X5 X6 1 X3 1 X2 1 4 13 X7 1 28 (a) For each of the cost coefficients c;, 1arrow_forwardSolve the following linear programming problem by applying the simplex method to the dual problem. Minimize C-3x, 2x, subject to x, 7₂ 22, 2x, ₂27,7₂9x₂ 21 with X₁. ₂ 20. OA Min C OB MC-,-,- OC. Min C 22" OD. Min C-21 at x, x₂-0 #tv 21arrow_forwardplease answerarrow_forward12) Solve each linear programming problem by the simplex method. (X1 +3x2 0, x2 > 0arrow_forwardSolve the given linear programming problem using the table method. The table of basic solutions is provided. Select the correct choice below a MaximizeP = 13x¹+ 24x2 subject to X¹+X²<6 x¹,x²>0arrow_forwardSolve the linear programming problem by the simplex y² - 2x +41 method. Minimize 11x + 4y subject to the constraints shown on the right. ys -x+48 1 ys- 3x+28 The minimum value of 11x + 4y is (Type integers or fractions.) y2 yz - /x+6 x>0, y²0 which is attained for x = and y = (arrow_forwardSolve the following linear programming problem using the simplex method. Maximize P = 4x - 3y + 2z subject to 2x-y+8z <or equal to 404x-5y+6z <orequal to 602x - 2y +6z <or equal to 24x>orequal to y>or equal to z>or equal to using row operationarrow_forwardThe initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. Z $1 1 3 1 0 15 5 1 0 10 45 1 1 0 1 0 5 -3 0 0 0 1 0 The maximum is when x₁ = x2 = s₁ = $2 and $3 - (Type integers or simplified fractions.) =arrow_forward3. Solve the following linear programming problem by using simplex table method. МАX Z 3 15х, — 3x2 — 7хз subject to 3x1 – 5x2 + 2x3 < 72 4x1 + 7x2 + 9х; < 100 -12x1 + 4x2 + 5x3 < 290 аnd x1, X2, Xз2 0.arrow_forwardSolve the linear programming problem. Minimize z = 10x, + 16x, + 20x,, subject to Зх, + х, + 6х, 29 X; + x, 2 9 4х, + х, 2 12 x, 2 0, x, 2 0, x, 2 0 by applying the steps of simplex method of the dual problem shown in Section 6-3 of the textbook.arrow_forwardAn investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $ . Round to the nearest cent. Investor Matt has $152,000 to invest in bonds. Bond A yields an average of 9.2% and the bond B yields 8.4%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. Investor Dan has $607,000 to invest in bonds. Bond A yields an average of 8.5% and the bond B yields 8.4%. Dan requires that at least 4 times as much money be invested in bond A as in…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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