3. Use Dual Simplex method to solve the following LPP. Maximise subject to Z=3x+2x2 +13 3x1 + x2 + x3 3 -3x13x2 x3 ≥ 6 x1 + x2 x3< 3 x1, x2, x3 0.

Solve the problem by the simplex method: min ₁2x4+x5 +9 X3 X4 + 2x5 X2 X3 + 2x4- X5 X1, X2, X3, X4, X5 ≥ 0 2 = 1

The profit (in hundreds of dollars) from the sale of a sets of car tires and y sets of truck tires is given by P(x, y) = − x² − y² + 2x + 6y. Find the values for x and y that will generate the maximum profit and the maximum profit, if the company must produce 4 sets of tires. set(s) of car tires and The company must sell maximum profit of $ set(s) of truck tires for a

Solve the LPP using Simplex method: Max2 a3メ、+5x2 Subject to 2X2 12 3xi+2Xg<18

1. Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square. 2. Find the maximum/minimum value of y = -2x² + 12x - 16 and where it occurs using the zeros.

x2+5x3 3x2-4x3 +2x4 = 19 2x3 + 6x4 = 2 ww Solve x + 2x2 + 4x3 + X4 = 21 2x1 + 8x2+ 6x3 +4x4 = 52 3x1 + 10x2 + 8x3 +8x4 = 79 4x1 + 12x2 + 10x3 + 6x4 = 82. Use Gaussian elimination to construct the triangular factorization of the 4. -2 -4 A. 2 6.

Select all the quadratic equations. 7x³ - 9x² + 3x - 12 = 0 32t2 - 23t = 9 x + 6y = 42 x² - 4y² = 0 %3D -6x2 + x - 9 = 0 4x2 - y - 81 = 0 %3D bksb 2021 合 Exit MacBook Pro Ce G Search or type URL & %24

maximize 2=^-2x, t Xq -4x3 t3x4 Subject to 2xi+ 2xq t bx2+ 4x 4 <8: 2x,-2x3+2x42-2 4x,+2x2 2 xit 4x2 t 2x2 + Hx4=4 X2,×3,メu 20 using the Simplex id entify construct first method initial BF Solution. variable and a) method for the Simplex corresponding entering basic variable big tableau and Also identify basic leaving 6) Simplex method Soluer to Solve this model by Use

A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x, units of running shoes and x, units of basketball shoes is R = -5x,2 - 8x,2 - 2x,*2+ 34x, + 116x2! where X1 and x, are in thousands of units. Find x, and x, so as to maximize the revenue.

Part II. Indicate where the following quadratic functions direct the concavity. 1) y=-3x²+2x-5 2)y=8-x-x² 3)y=x²-3x-2 4)y = 2x² + 3x-5 5)y=-x² -2x+1 6)y=2x-5x²-3