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Students should solve the question stated in Part 1 by using Matlab (or obtaining some parts of the answers from Matlab). Solving by using Matlab includes the following steps (computations should be done by Matlab, therefore, the related codes should be written to perform the computations automatically): (Ctrl) a) Plot the objective function in terms of the decision variable, to observe how the function changes according to this variable. The plot should have all the necessary labels. b) Find the critical points of the function. c) Determine if the critical points are local minima, maxima or saddle point. d) Use a line search technique (univariate search method, or single variable optimization algorithm) mentioned in lecture notes and explained in Nonlinear_Programming_Algorithms.pdf to re-obtain the optimum result received in part (c). Students should choose their own starting point or initial interval.

Students should solve the question stated in Part 1 by using Matlab (or obtaining some parts of the answers from Matlab). Solving by using Matlab includes the following steps (computations should be done by Matlab, therefore, the related codes should be written to perform the computations automatically): (Ctrl) a) Plot the objective function in terms of the decision variable, to observe how the function changes according to this variable. The plot should have all the necessary labels. b) Find the critical points of the function. c) Determine if the critical points are local minima, maxima or saddle point. d) Use a line search technique (univariate search method, or single variable optimization algorithm) mentioned in lecture notes and explained in Nonlinear_Programming_Algorithms.pdf to re-obtain the optimum result received in part (c). Students should choose their own starting point or initial interval.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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please solve this question by using matlap step by step 

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PART I: FUNCTION OF ONE VARIABLE For a solar heater system using for heating water, the cost C of the system is given by of, C = 70A + 416V where, A is the surface area of the collector and V is the volume of the storage tank. The relation of. A 580 200 V = 11660 could be used. Hence, transform this problem into a one-dimensional optimization problem with one decision variable and find the conditions for which the cost C is a minimum. Prove your claim.
Transcribed Image Text:PART I: FUNCTION OF ONE VARIABLE For a solar heater system using for heating water, the cost C of the system is given by of, C = 70A + 416V where, A is the surface area of the collector and V is the volume of the storage tank. The relation of. A 580 200 V = 11660 could be used. Hence, transform this problem into a one-dimensional optimization problem with one decision variable and find the conditions for which the cost C is a minimum. Prove your claim.
Students should solve the question stated in Part 1 by using Matlab (or obtaining some parts of the answers from Matlab). Solving by using Matlab includes the following steps (computations should be done by Matlab, therefore, the related codes should be written to perform the computations automatically): (Ctrl) a) Plot the objective function in terms of the decision variable, to observe how the function changes according to this variable. The plot should have all the necessary labels. b) Find the critical points of the function. c) Determine if the critical points are local minima, maxima or saddle point. d) Use a line search technique (univariate search method, or single variable optimization algorithm) mentioned in lecture notes and explained in Nonlinear_Programming_Algorithms.pdf to re-obtain the optimum result received in part (c). Students should choose their own starting point or initial interval.
Transcribed Image Text:Students should solve the question stated in Part 1 by using Matlab (or obtaining some parts of the answers from Matlab). Solving by using Matlab includes the following steps (computations should be done by Matlab, therefore, the related codes should be written to perform the computations automatically): (Ctrl) a) Plot the objective function in terms of the decision variable, to observe how the function changes according to this variable. The plot should have all the necessary labels. b) Find the critical points of the function. c) Determine if the critical points are local minima, maxima or saddle point. d) Use a line search technique (univariate search method, or single variable optimization algorithm) mentioned in lecture notes and explained in Nonlinear_Programming_Algorithms.pdf to re-obtain the optimum result received in part (c). Students should choose their own starting point or initial interval.
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