2) Solve the following LP problem. Note that in this LP problem, the constraint functions are the same as in 1) aboveand the objective function Z is different.Мaximize Z(x1, х2) %3D 4x1 + 2х2Subject to2х1 + х2 < 12- x1+ x2 < 3X1 2 0, x2 2 02.1) On the solution graph, use a dashed line to demonstrate how the optimal solution is to be found.2.2) Identify or calculate the value of one or more optimal solutions (xỉ ,x²) at the corner(s) of the feasible region.2.3) Calculate the corresponding optimal objective function value Z(xi , x2).2.4) If you have found more than one corner optimal solution of this LP problem, indicate how many optimalsolutions it has and indicate where these optimal solutions can be found.

Answered: 2.1) On the solution graph, use a…

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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d) The profit per unit for deluxe model was increased to 150 per unit. Evaluate the effect e) . Identify the range of optimality for each objective function coefficient (unit profit).Suppose the profit for the economy model is increased by $6 per unit, the profit for thestandard model is decreased by $2 per unit, and the profit for the deluxe model is increased by $4 per unit. ( use the 100% rule)What will be the new optimal solution be? f) If the number of fan motors available for production is increased by 100, evaluate theeffect.
Demand is forecasted using the following regression equation: D = 100 + 15(t) where “t” is a specified future time period. The current time period is 0 (t=0). The machines used to make this product have a capacity of 50 units/time period. The company currently has 4 machines yielding a total capacity of 200 units/time period. Due to technology changes, the current equipment will become obsolete at the end of period 15. If a new machine costs $2000, and the net revenue earned per unit is $10, how many machines should be added between today (t=0) and the end of period 15?
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Answer the following questions based on the Tornado and Sensitivity graphs given below. Which input variables are the most and the least impactful variables? Please mention two for each case. How the objective function changes by changing the most impactful input variable?
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Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model Sales = B0 + B1 Population + B2 Income + E, where Sales is the sales of Strong Bones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 32 cities across the United States and obtains the following regression results: Coefficients Standard Error t Stat p-Value Intercept Population Income 10.01 3.93 2.55 0.0231 8.19 2.20 3.72 0.0338 7.24 6.40 1.13 0.3758 a. What is the sample regression equation? Note: Enter your answers in millions rounded to 2 decimal places. Sales = Population + Income b-1. Interpret the coefficient of population. As the number of women over the age of 60 increases by 1 million, sales of Strong Bones is predicted to…
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…
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