Consider the following linear programming problem. Maximize P = 3x + 7y subject to the constraints x + 3y ≤ 12 -2x - 3y2 -18 x ≥ 0, y ≥ 0. (a) Write the linear programming problem as a standard maximization problem. Maximize P = subject to x ≥ 0 y 20 X (b) Write the initial simplex tableau. Need Help? Read It ≤ 12 y ≤18 P Constant 12 18 0

Snack A provides 10 grams of protein and costs 2 dollars, snack B provides 6 grams of protein and costs 3 dollars.  You need at least 30 grams of protein a day.  Let x be the number of snack A you buy and y be the number of snack B you buy.  You want to minimize cost. State the linear programming problem in mathematical terms, identifying the objective function and constraints.   Do not solve the problem to completion.  Just state the inequalities needed and the objective function.

Use the simplex method to solve the linear programming problem. Maximize subject to: and X₂= with z = 2x₁ + 9x2 5x₁ + x₂ ≤40 9x1 + 2x₂ ≤60 X₁ + X₂ ≤50 X1, X₂ 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum is when x₁ = (Simplify your answers.) B. There is no maximum.

The supplies, demands, and transportation costs per unit are shown on the network.   (a)Develop a linear programming model for this problem; be sure to define the variables in your model. Let x11 = amount shipped from Jefferson City to Des Moines x12 = amount shipped from Jefferson City to Kansas City x13 = amount shipped from Jefferson City to St. Louis x21 = amount shipped from Omaha to Des Moines x22 = amount shipped from Omaha to Kansas City x23 = amount shipped from Omaha to St. Louis Min     ????????     s.t.   From Jefferson City ??????       From Omaha ???????       To Des Moines ???????       To Kansas City ????????       To St. Louis ????????????     x11, x12, x13, x21, x22, x23 ≥ 0   (b)Solve the linear program to determine the optimal solution.   Amount Cost Jefferson City–Des Moines     Jefferson City–Kansas City     Jefferson City–St. Louis     Omaha–Des Moines     Omaha–Kansas City     Omaha–St. Louis     Total