Spreadsheet Modeling & Decision Analysis: A Practical Introduction to Business Analytics (MindTap Course List)
Spreadsheet Modeling & Decision Analysis: A Practical Introduction to Business Analytics (MindTap Course List)
8th Edition
ISBN: 9781305947412
Author: Cliff Ragsdale
Publisher: Cengage Learning
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Chapter 3, Problem 3QP
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To develop: A spreadsheet model for the problem and solve it using solver.

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Please use excel for this problem A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines.  The time required to produce the tables on each machine is given in the following table:   Machine Country Contemporary Total Machine Time Available Per Week Router 3.5 4.0 1,000 Sander 4.5 6.5 2,000 Polisher 3.0 2.0 1,500     Country tables sell for $395 and contemporary tables sell for $515.   Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary.  How many of each type of table should the company manufacture if it wants to maximize its revenue? Formulate an LP model for this problem Create the spreadsheet model and use Solver to solve the problem.
Consider the following linear programming model with 4 regular constraints:Maximize 3X + 5Y (a) Draw your graph in the space below:subject to: 4X + 4Y ≤ 48 (constraint #1) 4X + 3Y ≤ 50 (constraint #2) 2X + 1Y ≤ 20 (constraint #3) X ≥ 2 (constraint #4) X, Y ≥ 0 (non-negativity constraints)(a) Which of the constraints is redundant? Constraint #______.Justify by drawing a graph similar to Figure 7.14 on p.263.(b) Is point (9,3) a feasible solution? _____. Explain your answer (by analyzing each of the constraints).Constraint #1: _______________________________________________________________Constraint #2: _______________________________________________________________Constraint #3: _______________________________________________________________Constraint #4: ______________________________________________________________
1. Given the following linear programming model:    Minimize Z = 480x1 + 160x2   subject to      x1 + x2 >= 40      x1 + 4x2 >= 60      3x1 + x2 >= 60      x1 >= 0,  x2 >= 0 a. Solve the LP model graphically and explain the solution result. b. Develop a spreadsheet model and solve using Excel Solver. What is the optimal solution?   2. Provident Capital Corp. specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client contacted Provident with P2,000,000 available to invest. Provident’s investment advisor recommends a portfolio consisting of two investment funds: the Dynamic fund and the Diversified fund. The Dynamic fund has a projected annual return of 10%, and the Diversified fund has a projected annual return of 8%. The investment advisor requires that at most P1,400,000 of the client’s funds should be invested in the Dynamic fund. Provident’s services include a risk rating for each investment alternative. The Dynamic…
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