### Transportation ProblemA construction company needs to move heavy equipment from city 1 to city 9. The numbers on the arcs represent the driving distances in miles. Your task is to create a spreadsheet model to solve this problem and calculate the optimal route using Solver.#### Graph Explanation:The graph is a directed network with nine nodes, each representing a city. Arrows (arcs) indicate possible driving routes between cities, with the associated distances marked on each arc. The goal is to determine the shortest path from city 1 to city 9.#### City Connections and Distances:- **City 1** connects to: - City 2: 150 miles - City 3: 370 miles - City 4: 459 miles- **City 2** connects to: - City 1: 430 miles - City 5: 813 miles- **City 3** connects to: - City 6: 715 miles - City 4: 390 miles- **City 4** connects to: - City 6: 920 miles- **City 5** connects to: - City 8: 200 miles- **City 6** connects to: - City 7: 410 miles - City 9: 420 miles- **City 7** connects to: - City 9: 543 miles- **City 8** connects to: - City 9: 557 miles - City 6: 435 milesUsing Solver, determine the shortest path by inputting these distances into a spreadsheet model. Ensure you calculate all potential paths to identify the optimal solution.---Instructions are for educational purposes, guiding students on how to utilize spreadsheet tools for solving network optimization problems efficiently.

Linear programming is a mathematical technique that is also used in operations management…

Answered: 1) A construction company needs to move…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Could you please provide detailed explanation for the question attached with excel solver screen shots
Problem 2: Applications of Linear Programming: Visa Inc. Stock sells for $92 a share and has 3-year average annual return of $20 a share. The beta value is 1.06. JP Morgan Chase and Co. sells for $87 a share and has a 3-year average annual return of $17 a share. The beta value is 1.21. Derek wants to spend no more than $15,000 investing in these two stocks, but he wants to earn at least $2500 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy.
Simplex Method (Use Two-Phase Method by H. Taha)
Create spreadsheets and use Solver to determine the correct volumes to be produced to minimize cost for the following problem. Your company has two trucks that it wishes to use on a specific contract. One is a new truck the company is making payments on, and one is an old truck that is fully paid for. The new truck’s costs per mile are as follows: 54₵ (fuel/additives), 24₵ (truck payments), 36₵ (driver), 12₵ (repairs), and 1₵ (misc.). The old truck’s costs are 60₵ (fuel/additives), 0₵ (truck payments), 32₵ (rookie driver), 24₵ (repairs), and 1₵ (misc.). The company knows that truck breakdowns lose customers, so it has capped estimated repair costs at $14,000. The total distance involved is 90,000 miles (to be divided between the two trucks).
L.P. Model: Maximize Z= 8X+2Y Subject to: 1X+2Y≤6 (C1) 5X+1Y≤20 (C2) X,Y≥0 On the graph on right, the constraints C1 and C2 have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X = (round your response to two decimal places). Y = (round your response to two decimal places). Optimal solution value Z = (round your response to two decimal places).
What is the algebraic formulation for this question, including objective function and constraints
Consider the following problem. Maximize Subject to Solving Linear Programming Problems: Graphical and The Simp Solution 2x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 6 X1, X₂ ≥ 0 Z = 3x₁ + 2x₂ a. Use the graphical method to solve this problem. b. Use the tabular simplex method to solve this problem. a. Graphical Method
1. Suppose the following table gives the selling prices in tens of thousands of dollars for 20 different homes sold during a month. 60.5 113.5 79.0 475.5 75.0 70.0 125.5 150.0 100.0 125.5 90.0 175.5 89.0 130.0 111.5 100.0 50.0 340.5 100.0 525.0 a) Find the mode, median and mean of the selling prices of the first two columns b) Find the range, variance and standard deviation of the selling prices of the first two columns c) Find the ninety-fifth percentile, the seventh decile, and the first quartile of the selling prices of homes by taking into consideration the whole table of values. d) Find the percentiles for the selling prices 75.0, 90, 125.5 and 340.5 by taking into consideration the whole table of values. e) Construct a boxplot of the selling prices in the table above by following the instructions below: - First, find the minimum, maximum, first quartile, median and third quartile of the data - Second, draw roughly the boxplot showing the location of each value found in the…
Using Excel Solve the following LP Maximize $4x + $5y Subject to 2x + 3y ≤ 20 (labor, in hours) 6x + 6y ≤ 36 (materials, in pounds) 4x + 4y ≤ 40 (storage, in square feet) x, y ≥ 0 a) Write the original optimal solution and objective function value. b) What is the optimal solution and objective function value if you acquire 2 additional pounds of material? c) What is the optimal solution and objective function value if you acquire 1.5 additional hours of labor?
Don't Hand writing in solution.
Solve Using Excel solver in Linear Optimization Problems. Must present the excel solver output including (answer report sensitivity report and limits report) 1. A calculator company produces two models of calculators at two different factories. Factory A can produce 130 scientific calculators and 25 graphing calculators per day. Factory B can produce 70 scientific and 90 graphing calculators per day. It cost $1200 per day to operate Factory A and $900 per day to operate Factory B. If the company needs to produce 460 scientific calculators and 340 graphing calculators for a big order, find the minimum cost to produce the order.(please help)
Monsters, Inc. has two plants for producing electricity, one in Monsterville and another is in New Yeti. The Monsterville plant produces according to eM(x1,x2) = min{xX1,2x2} and the New Yeti plant produces according to eNY(x1,x2) = min{2x1,x2}, where xi and x2 are the inputs. iii. How much of each input will the firm need in order to produce 20 units electricity in the New Yeti plant? iv. Assume now that Monsters, Inc. decides to produce 40 units of electricity and it can split production in any manner between the two plants. Is the technology available to this firm convex or concave? Explain your answer.

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