Solve the linear programming problem using the simplex method.
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- Use your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.arrow_forwardA company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three ingredients, which are available in the limited quantities shown in the table. The profit on each bag of fertilizer x is 6 and on each bag of y is 5. How many bags of each product should be produced to maximize the profit? Ingredient Number of Pounds in Fertilizer x Number of Pounds in Fertilizer y Total number of Pounds Available Nitrogen 6 10 20,000 Phosphorus 8 6 16,400 Potash 6 4 12,000arrow_forwardGraph: 3x+2y6.arrow_forward
- Answer the question using linear programming simplex method. A Western shop wishes to purchase 300 felt and 200 straw cowboy hats. Bids have been received from the wholesalers. Beta Hatters has agreed to supply not more than 200 hats. Kappa Hatters not more than 250, Delta Hatters not more than 150. The owner of the shop has estimated that his profit per hat sold from Beta Hatters would be P30/felt and P40/straw, from Kappa Hatters P38/felt and P35/straw, and from Delta Hatters P40/felt nad P36/straw. The Western shop wants to determine maximum profit.arrow_forwardUse the simplex method to solve the linear programming problem. z=2x1+7x2 subject to 5x1+x2 < 50 7x1+2x2 < 70 x1+x2 < 60 x1, x2 > 0 The Maximum is = when x1= and x2=arrow_forwardplease answer in a digital response so I may fill in the blanks, thank you in advance!arrow_forward
- Use Excel to solve the linear programming problem. Maximize f = 8x1 + 17x2 + 24x3 + 31x4 + 36x5 subject to the following. X1 + X2 + 5x3 + 3x4 + 2x5 < 5,000 2x1 + X2 + 4xз + 4x4 + 2х5 & 6,000 Зх1 + X2 + 5х3 + 2x4 + Зх5 S 7,000 (X1, X2, Хз, Х4, Xs) f = Need Help? Read Itarrow_forwardSolve the linear programming problem using the simplex method. Maximize z = 2x₁ +9x2 subject to 5Xq+X, 550 9x1 + 2x2 ≤70 x1 + x2 ≤60 X1, X2 ≥0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum is z = when X1 = , X₂ = S1 = , S2 = and S3= B. There is no maximum solution for this linear programming problem.arrow_forwardUse the simplex method to solve the linear programming problem. X₂ (Type integers or simplified fractions.) OB. There is no maximum. Maximize subject to: Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum is when X₁ 1, 8₂, and s₂ -. 5₁ = with z = 10x₁ + 18x₂ 6x₁ + 3x₂ $36 5X4 X5 20 3x₁ + 3x₂ ≤42 x₁20, X₂ 20arrow_forward
- Need only a handwritten solution only (not a typed one).arrow_forwardUse the simplex method to solve the linear programming problem. Z=4x₁3x2 + 2x3 2x₁ - x₂ + 8x3 ≤42 4x₁ - 5x₂ + 6x3 ≤56 2x₁2x₂ + 6x3 ≤26 X₁20, X₂20, X3 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. Maximize subject to OA. The maximum is OB. There is no maximum. when X₁ = x₂ = X3 = X S₁ = $2 = and S3 = ■arrow_forwardUse the simplex method to solve the linear programming problem. z = 6x₁ - 5x₂ + 4x3 2x₁ Maximize subject to X₂+ 8x3 546 4x₁5x₂+ 6x3 ≤64 - 2x₁2x₂ + 6x3 ≤22 x₁20, X₂20, X3 20. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum is when x₁ = x₂ = x3 = $₁=₁ S₂ =, and $3 = B. There is no maximum.arrow_forward
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