1.Formulate a linear or integer model (clearly statedecisionvariables, objective, and constraints)2.Find the optimal solution using Excel Solver3.Do not solve graphically4.Answer all questions5.Attach your solver files and formulations. A jeweler and her apprentice make silver pins and necklaces by hand. Each week they have80 hours of labor and 36 ounces of silver available. It requires 8 hours of labor and 2 ounces ofsilver to make a pin and 10 hours of labor and 6 ounces of silver to make a necklace. Each pinalso contains a small gem of some kind. The demand for pins is no more than six per week. A pinearns the jeweler $400 in profit, and a necklace earns $100. The jeweler wants to know how manyof each item to make each week to maximize profit.a. Formulate an integer programming model for this problem.b. Solve this model by using the computer. Compare this solution with the solution with-out integer restrictions, and indicate whether the rounded-down solution would have beenoptimal.

Answered: A jeweler and her apprentice make…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter8: Evolutionary Solver: An Alternative Optimization Procedure

Section8.3: Introduction To Evolutionary Solver

Problem 1P

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1. Explain your observations about the optimal solution returned by the Solver. 2. If the company has budget to increase the total capacity by 1,000 units, at which plant would you recommend them to expand? What would be total cost savings (i.e., potentially more reduction in the total costs) with this expansion? Refer to the sensitivity report and explain your answer. (Copy and paste the constraints section of the sensitivity report here.) 3. Suppose that the Atlanta plant had to reduce capacity by 1,000 units to repair and renovate. How much would this cause the total (optimized) transportation costs to increase? Refer to the sensitivity report and explain your answer. All i need is help with explaing these answers using the sensitivy reports and answer reports.
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
Chapter 6. Solve the following Linear Program using the Solver method and answer the questions given below (round to two decimal places): Maximize 12A + 15B s.t. 3A + 7B <= 250 5A + 2B <= 200 B <= 25 A, B >= 0 a. The optimal value of A is 31.03 and the optimal value of B is 22.41. b. The maximized function yields a solution of 708.62. Chapter 7. For the problem you solved in Q1, obtain the Sensitivity Report, and answer the following questions. Remember to round to two digits and you can enter “infinity” for unlimited regions: The range for Variable A is from ????? to ????? The range for Variable B is from ????? to ????? The range for Constraint 1 is from ????? to ????? The range for Constraint 2 is from ????? to ????? The range for Constraint 3 is from ????? to ?????
9. Which of the following is NOT a requirement of a linear programming problem? Select one: a. constraints, expressed as linear equations or inequalities b. an objective function to be maximized or minimized c. an objective function, expressed in linear terms d. alternative courses of action e. one constraint for each decision variable
Simplex Method Solve the following LP problem using the simplex method. Maximize: P = 9x + 7ySubject to:2x + y ≤ 40 x + 3y ≤ 30x, y ≥ 0 What is the entering variable and leaving variable in Table 1? Choices: A. Entering Variable: y and Leaving Variable: S1 B. Entering Variable: x and Leaving Variable: S1 C. Entering Variable: x and Leaving Variable: S2 D. Entering Variable: y and Leaving Variable: S2
-For this problem clearly derive the Linear program-Graph this problem and clearly indicate the feasible options- Clearly determine the solution to the problem using the method of points (be smart about which points you have to evaluate based on the graph of the objective function
Consider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.
Please only anser part b & show steps to computing the optimal solution using excel solver.
how to solve this in excel solver?
Max Z = 6X1 + 18X2+20X3 Sub to X1 + X2 +X3 = 60 10X1 +15X2 +20X3 = 900 2X1 + 3X2 +3X3≤100 And X1, X2, X3 >=0 (SOLVE MANUALLY USING SIMPLEX METHOD PLEASE DON'T USE SHORTCUTS)
1. A specific assignment of values to decision variables is called what? a. Constraint b. Feasible c. Solution d. None of the above 2. Which of the following must be true of a feasible solution a. All of what Solver calls changing variables must be greater than 0 b. It is optimal c. It violates no constraints d. None of the above
Please help with correct answers in details: step by step Q1 The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x1 + x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) ______ to ______? Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) _______ to _______? Compute the dual value for the first constraint. _______ Compute the dual value for the second constraint. _______ Compute the dual value for the third constraint. _______

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