
a.
To find: MPC.
a.

Answer to Problem 39E
0.86
Explanation of Solution
Given information:
The variables represents as follows:
x=Nation's disposable incomey=Personal consumption expenditure
x (billions of dollars) | y (billions of dollars) |
56 | 50 |
76 | 67.2 |
MPC = Marginal propensity to consume
When MPC is 0.7, the value of Δx and Δy is 1 and 0.7 respectively.
Calculation:
Since 0.7 MPC means, the value of Δx=1 and Δy=0.7 . We can evaluate this MPC value as follows:
MPC=ΔyΔx=0.71=0.7
Thus, the equation for MPC can be written as follows:
MPC=ΔyΔx=y2−y1x2−x1
Put the values of x and y in the above equation to evaluate MPC as follows:
MPC=ΔyΔx=62.5−5076−56=17.220=0.86
Thus, the value of MPC is 0.86.
b.
To find: the additional dollars spend by the average family.
b.

Answer to Problem 39E
$1552.3
Explanation of Solution
Given information:
The variables represents as follows:
x=Nation's disposable incomey=Personal consumption expenditure
x (billions of dollars) | y (billions of dollars) |
56 | 50 |
76 | 67.2 |
Marginal propensity to consume, MPC = 0.86
The condition given is that x increases $1805.
Calculation:
The equation of MPC is as follows:
MPC=yx
Plug in the given values to evaluate y as shown below.
0.86=y$18050.86($1805)=y$1552.3=yy=$1552.3
Thus, the additional consumption expenditure of an average family increases by $1552.3 .
c.
To find: MPS.
c.

Answer to Problem 39E
0.14
Explanation of Solution
Given information:
MPC = Marginal propensity to consume
MPS = Marginal propensity to save
MPS=1−MPC
MPC = 0.86
Calculation:
Put the value of MPC in the given equation to evaluate MPS as follows:
MPS=1−MPC=1−0.86=0.14
Thus, the MPS is 0.14.
d.
To find: the additional dollars saved by the average family.
d.

Answer to Problem 39E
$252.7
Explanation of Solution
Given information:
The variables represents as follows:
x=Nation's disposable incomey=Personal consumption expenditure
x (billions of dollars) | y (billions of dollars) |
56 | 50 |
76 | 67.2 |
Marginal propensity to save, MPS = 0.14
The condition given is that x increases $1805.
Calculation:
The equation of MPS is as follows:
MPS=yx
Plug in the given values to evaluate y as shown below.
0.14=y$18050.14($1805)=y$252.7=yy=$252.7
Thus, the additional consumption saving of an average family increases by $252.7 .
Chapter 1 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
Thinking Mathematically (6th Edition)
Elementary Statistics (13th Edition)
Algebra and Trigonometry (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
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