Solve the linear programming problem using the simplex method. Maximize P= -x₁ + 2x₂ subject to x₁ + x₂ ≤2 -X₁ + 3x₂ ≤18 X₁-4x₂ 58 x₁, x₂ 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum value of P is P = (Simplify your answers.) OB. There is no optimal solution. when X₁ = .... and X₂=

State the value of each variable and whether the variable is basic or not, using the provide final simplex tableau.

Use the simplex method to solve the linear programming problem. Z = X₁ +4x₂ + x3 + 5x4 X₁ + 8x₂ + 5x₁ + x₂ + x₁20, X₂20, X3 20, x4 20 80 F3 Maximize subject to 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum is OB. There is no maximum. View an example Get more help. 22 श्री R F % 5 t x3 + x4≤10 3x3 + x4 ≤200 G 6 when x₁ = Y H & 7 x₂ = U X3 = * 8 ▶II X4 = · ( 9 K S₁ = and $₂ =. Clear all O 0 L F10 P Check answer 4) + ||

Use the simplex method to solve the problem. Maximize P= 32x, +24x2 subject to 2x, +x, s 16 X, +8x, s 16 Xq, X2 20 The maximum value is P | when X2 = []: x, = (Simplify your answers.) Enter your answer in each of the answer boxes. FEB 16 W

3. Jack and Jill work at the same store. Jack's total weekly salary, in dollars, if he sells x items is given by S= = 100 + 5x, and Jill's total weekly salary, in dollars, if she sells x items is given by S = 80 + 6x. If they sell the same number of items in a week, what is the minimum number of items they have to sell so that Jill's weekly salary is at least $300 more than Jack's? Ver