a. Answer The minimize values of x = 15 , y = 5 Explanation Calculation: Given the equation c = 5 ( x 2 + 4 x y ) + 10 x y Equation for the volume is V = x 2 y = 1125 y = 1125 x 2 c = 5 [ x 2 + 4 x ( 1125 x 2 ) ] + 10 x ( 1125 x 2 ) = 5 x 2 + 22500 x − 1 + 11250 x − 1 c ′ = 10 x − 33750 x − 2 c ′ = 10 x 3 − 33750 x 2 Where c ′ is undefine or c ′ = 0 .then the plug x into y equation. c ′ = 0 0 = 10 x 3 − 33750 x 2 0 = 10 x 3 − 33750 10 x 3 = 33750 x = 33750 3 x = 15 y = 1125 x 2 = 1125 5 2 y = 5 Thus , the minimize values of x = 15 , y = 5 b. To determine Give a scenario for the cost function. Answer The material for tank costs 5 dollars/sq ft and the excavation charge is 10 dollars for each square foot of the cross-sectional area of one wall of the hole. Explanation Calculation: It’s not ask to solve anything, plug any numbers in it is simply want a possible scenario of what the numbers in the equation could mean. Thus the material for tank costs 5 dollars/sq ft and the excavation charge is 10 dollars for each square foot of the cross-sectional area of one wall of the hole.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 5.4, Problem 12E

To determine

Find the minimize values of x and y

Expert Solution

Answer to Problem 12E

The minimize values of x=15, y=5

Explanation of Solution

Calculation: Given the equation c=5(x2+4xy)+10xy

Equation for the volume is V=x2y=1125

y=1125x2c=5[x2+4x(1125x2)]+10x(1125x2) =5x2+22500x−1+11250x−1c′=10x−33750x−2c′=10x3−33750x2

Where c′ is undefine or c′=0 .then the plug x into y equation.

c′=00=10x3−33750x20=10x3−3375010x3=33750x=337503x=15y=1125x2 =112552y=5

Thus, the minimize values of x=15, y=5

To determine

Give a scenario for the cost function.

Expert Solution

Answer to Problem 12E

The material for tank costs 5 dollars/sq ft and the excavation charge is 10 dollars for each square foot of the cross-sectional area of one wall of the hole.

Explanation of Solution

Calculation:

It’s not ask to solve anything, plug any numbers in it is simply want a possible scenario of what the numbers in the equation could mean.

Thus the material for tank costs 5 dollars/sq ft and the excavation charge is 10 dollars for each square foot of the cross-sectional area of one wall of the hole.

Chapter 5.4, Problem 11E

Chapter 5.4, Problem 13E

Chapter 5 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

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