Q1 Find the best solution for the following model using simplex MAX Z = 10X1 + 8X2 SUB TO: 4X1 + 2X2 < 80 X1 + 2X2 < 50 X, 2 0,X2 20
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Q: Q-7)for the LPP below: Max Z = 2X1+X2 S TO:X1+4X2 =2 2X1+2X2 > = 6 X1,X2 > = %3D %3D O The first…
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Q: 11. Refer to Problem 10 and the computer solution shown in Figure 3.16. a. Suppose the risk index…
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Q: Z = 2x1 + 10x2 b. Maximize Subject to Durability 10x1 + 4x2 ≥ 40 week Strength 1x1 + 6x2 = 24 psi…
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Q: Maximize Z=3x1 +4x2+X3 subject to –X1-2x22 -10, 2x1 +2x2+ X3< 10, X1,X2,X3 2 0
A: Formula:
Q: 9 Graphically determine two optimal solutions to the following LP: min z = 3x, + 5x2 3x, + 2x2 2 36…
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A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…
Q: 3. Maximize: z = 11x1 + 16x2 + 15x3 subject to the following constraints X1 + 2x2 + r3 0
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A: Give, Objective function- Max 5X1 + 10X2
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Q: Q3:A/ Find the solution to the following linear programming problem by dual simplex method Min Z=…
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Q: Q.3/ Solving a minimization problem, find the minimum value of w=0.12x1+0.15x2 Subject to the…
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Q: Q2. Solve the given LP problem on the right by (LP): Max Z = 2X1 + 4X2 using The Graphical Solution…
A: MAX z = 2x1 + 4x2subject to3x1 + 2x2 <= 12x1 + 2x2 <= 82x1 + x2>= 2and x1,x2 >= 0
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Q: 5 Use the simplex algorithm to find the optimal solution to the following LP: min z = -x1 - 2x2 s.t.…
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Q: 8 Use the simplex method to find the optimal solution to the following LP: max z = 5x1 + x2 s.t. 2x,…
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Q: 3. Consider the following linear program: Min 8X + 12Y s.t. IX + 3Y 9 2X+ 2Y 10 6X + 2Y 18 X, Y 0…
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Q: Graph the feasible region for the system of inequalities. 4x+y≤3 x-y>3
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- If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60 per unit. a. How can the monopolist maximize her profit? b. If the monopolist must pay a sales tax of 5% of the selling price per unit, will she increase or decrease production (relative to the situation with no sales tax)? c. Continuing part b, use SolverTable to see how a change in the sales tax affects the optimal solution. Let the sales tax vary from 0% to 8% in increments of 0.5%.This problem is based on Motorolas online method for choosing suppliers. Suppose Motorola solicits bids from five suppliers for eight products. The list price for each product and the quantity of each product that Motorola needs to purchase during the next year are listed in the file P06_93.xlsx. Each supplier has submitted the percentage discount it will offer on each product. These percentages are also listed in the file. For example, supplier 1 offers a 7% discount on product 1 and a 30% discount on product 2. The following considerations also apply: There is an administrative cost of 5000 associated with setting up a suppliers account. For example, if Motorola uses three suppliers, it incurs an administrative cost of 15,000. To ensure reliability, no supplier can supply more than 80% of Motorolas demand for any product. A supplier must supply an integer amount of each product it supplies. Develop a linear integer model to help Motorola minimize the sum of its purchase and administrative costs.What combination of x and y will yield the optimum for this problem? Maximize $10x + $4y, subject to (1) 5x + 3y ≤ 15 and (2) 3x + 6y ≤ 18 and (3) x, y ≥ 0.
- Find solution using simplex method MAX Z = 6x1 + 4x2subject tox1 + x2 ≤ 5x2 ≥ 8and x1,x2 ≥ 0Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative. Maximize f = 8x + 9y + 3z subject to 2x + 7y + 8z ≤ 100 6x + 3y + z ≤ 160 3x + 4y + 9z ≤ 10 .Analyze algebraically what special case in simplex application is present in each of the LP model below. Give an explanation to support your answer. a) Maximize z = 4x1 + 2x2 Subject to: 2x1 - x2 ≤ 2 3x1 - 4x2 ≤ 8 x1, x2 ≥ 0b) Maximize z = 3x1 + 2x2 Subject to: 4x1 - x2 ≤ 8 4x1 + 3x2 ≤ 12 4x1 + x2 ≤ 8 x1, x2 ≥ 0
- b) Maximize Z = −40X1 −100X2s.t 10X1 + 5X2 ≤ 2502X1 + 5X2 ≤ 1002X1 + 3X2 ≤ 90X1, X2 ≥ 0Solve by simplex method, what are the solutions? Show that this problem hasmultiple solutions and find the solutions?A decision problem has the following three constraints: 70X + 6Y <= 420; 24X + 3Y= 72; and 11X - Y <= 14 . The objective function is Min 17X + 38Y . The objective function value is : a. 338 b. 676 c. unbounded d. infeasible e. 0a. Maximize Z = 6X1 + 18X2+20X3 (Don't use excel shortcut solve manually by Simplex LPP method)Sub toX1 + X2 +X3 = 6010X1 +15X2 +20X3 = 9002X1 + 3X2 +3X3≤100And X1, X2, X3 >=0