The first page is already done 1. Engineers are designing a box-shaped aquarium with a square bottom and an open top.The aquarium must hold 500 ft of water. What dimensions should they use to create anacceptable aquarium with the least amount of glass?a) Diagram (include variables)4 sidebo,LX Wx HV=b) Objective function (state equation) :c) Constraints (state equation):d) Steps to the solution of the optimization problem using derivativesobjeutive4yx tX? =S2000O = 24 -4 sides bokS=4x. 5002000Sorface Area =200 0x2000 : 2x3228= 200025 00e) Dimensions of theaquarium: 0 ff by W ft by 5FL 10 y =500100f) Glass needed (ft2):q -5twh,A12 2) Assume now that the glass used for the sides of the aquarium is different for the glass usedfor the bottom and consequently there is a difference in cost. If the glass for the sides is $3 persquare ft and the glass for the bottom is $2 per square ft. The aquarium must hold 500 ft ofwater. What are the dimensions of the aquarium that minimize the cost?a) Diagram (include variables)b) Objective function (state equation) :Constraints (state equation):d) Steps to the solution of the optimization problem using derivatives

Answered: Image /qna-images/answer/aa3a95cf-5e80-4923-9e3f-d50deecb05c6.jpg

2) Assume now that the glass used for the sides of the aquarium is different for the glass used for the bottom and consequently there is a difference in cost. If the glass for the sides is $3 per square ft and the glass for the bottom is $2 per square ft. The aquarium must hold 500 ft° of water. What are the dimensions of the aquarium that minimize the cost? a) Diagram (include variables) b) Objective function (state equation) : c) Constraints (state equation):_ d) Steps to the solution of the optimization problem using derivatives

2) Assume now that the glass used for the sides of the aquarium is different for the glass used for the bottom and consequently there is a difference in cost. If the glass for the sides is $3 per square ft and the glass for the bottom is $2 per square ft. The aquarium must hold 500 ft° of water. What are the dimensions of the aquarium that minimize the cost? a) Diagram (include variables) b) Objective function (state equation) : c) Constraints (state equation):_ d) Steps to the solution of the optimization problem using derivatives

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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