Chapter 15: Chapter 15

Problem 10

Let \(g(x, y, z)=0.01 x+0.02 y-0.03 z-0.05 .\) Complete the following sentences. a. g _ by _ units for every 1 unit of increase in z. b. g _ by _ units for every 1 unit of increase in x. c. by 0.02 units for every _.

Short Answer

Expert verified

a. g decreases by 0.03 units for every 1 unit of increase in z. b. g increases by 0.01 units for every 1 unit of increase in x. c. g increases by 0.02 units for every 1 unit of increase in y.

See the step by step solution

Step by step solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Coefficients of x, y, and z in g(x, y, z)

The function g is given by \(g(x, y, z) = 0.01x + 0.02y - 0.03z - 0.05\). The coefficients of x, y, and z are 0.01, 0.02, and -0.03, respectively.

Step 2: a. Change in g with respect to z

The coefficient of z in the function is -0.03. So, g decreases by 0.03 units for every 1 unit of increase in z. The answer for sentence a: g decreases by 0.03 units for every 1 unit of increase in z.

Step 3: b. Change in g with respect to x

The coefficient of x in the function is 0.01. So, g increases by 0.01 units for every 1 unit of increase in x. The answer for sentence b: g increases by 0.01 units for every 1 unit of increase in x.

Step 4: c. Change in g with respect to y

The coefficient of y in the function is 0.02. So, g increases by 0.02 units for every 1 unit of increase in y. The answer for sentence c: g increases by 0.02 units for every 1 unit of increase in y.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Recommended explanations on Math Textbooks

Find Study Materials for

Create Study Materials

Select your language

Chapter 15: Chapter 15

Let \(g(x, y, z)=0.01 x+0.02 y-0.03 z-0.05 .\) Complete the following sentences. a. g _ by _ units for every 1 unit of increase in z. b. g _ by _ units for every 1 unit of increase in x. c. by 0.02 units for every _.

Short Answer

Step by step solution

Unlock all solutions

Step 1: Coefficients of x, y, and z in g(x, y, z)

Step 2: a. Change in g with respect to z

Step 3: b. Change in g with respect to x

Step 4: c. Change in g with respect to y

Access millions of textbook solutions in one place

Most popular questions from this chapter

More chapters from the book ‘Finite Mathematics and Applied Calculus’

Chapter 0

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Chapter 13

Chapter 14

Chapter 16

Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Statistics

Mechanics Maths

Decision Maths

Calculus

Select your language

Chapter 15: Chapter 15

Let \(g(x, y, z)=0.01 x+0.02 y-0.03 z-0.05 .\) Complete the following sentences. a. g ___ by ___ units for every 1 unit of increase in z. b. g ___ by ___ units for every 1 unit of increase in x. c. ______ by 0.02 units for every _______.

Short Answer

Step by step solution

Unlock all solutions

Step 1: Coefficients of x, y, and z in g(x, y, z)

Step 2: a. Change in g with respect to z

Step 3: b. Change in g with respect to x

Step 4: c. Change in g with respect to y

Access millions of textbook solutions in one place

Most popular questions from this chapter

More chapters from the book ‘Finite Mathematics and Applied Calculus’

Chapter 0

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Chapter 13

Chapter 14

Chapter 16

Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Statistics

Mechanics Maths

Decision Maths

Calculus

Let \(g(x, y, z)=0.01 x+0.02 y-0.03 z-0.05 .\) Complete the following sentences. a. g _ by _ units for every 1 unit of increase in z. b. g _ by _ units for every 1 unit of increase in x. c. by 0.02 units for every _.