Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 3x + 18y subject to14x + 7y ≤ 495x + 5y ≤ 70.(x, y) =f =X

Based on the given details, the objective functions and constraints are: Objective Function:Max f…

Answered: Use the simplex method to maximize the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.7: Portfolio Optimization Models

Problem 35P

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Although the normal distribution is a reasonable input distribution in many situations, it does have two potential drawbacks: (1) it allows negative values, even though they may be extremely improbable, and (2) it is a symmetric distribution. Many situations are modelled better with a distribution that allows only positive values and is skewed to the right. Two of these that have been used in many real applications are the gamma and lognormal distributions. @RISK enables you to generate observations from each of these distributions. The @RISK function for the gamma distribution is RISKGAMMA, and it takes two arguments, as in =RISKGAMMA(3,10). The first argument, which must be positive, determines the shape. The smaller it is, the more skewed the distribution is to the right; the larger it is, the more symmetric the distribution is. The second argument determines the scale, in the sense that the product of it and the first argument equals the mean of the distribution. (The mean in this example is 30.) Also, the product of the second argument and the square root of the first argument is the standard deviation of the distribution. (In this example, it is 3(10=17.32.) The @RISK function for the lognormal distribution is RISKLOGNORM. It has two arguments, as in =RISKLOGNORM(40,10). These arguments are the mean and standard deviation of the distribution. Rework Example 10.2 for the following demand distributions. Do the simulated outputs have any different qualitative properties with these skewed distributions than with the triangular distribution used in the example? a. Gamma distribution with parameters 2 and 85 b. Gamma distribution with parameters 5 and 35 c. Lognormal distribution with mean 170 and standard deviation 60
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Q) The sin() function can be evaluated by the following infinite series: x3 sin x = x - 3! 5! Create an M-file to implement this formula so that it computed and displays the values of sin(x) as each term in the series is added up to fifteenth order. For each step, compute and display the percent relative error as following: true – series approximation %error x 100% true
Use the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 7x + 8y subject to x + 2y ≤ 10 x + y ≤ 7 (x,y)= f=

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Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 3x + 18y subject to 14x + 7y ≤ 49 5x + 5y ≤ 70. ((x, y) = ( f= x X )