The relationship between sales (units sold) and profit is shown in the diagram below: A Quadratic $18.00 $16.00 $14.00 $12.00 $10.00 $0.00 $6.00 $4.00 $2.00 $0.00 S-2.00 Units Sold (thousands) Other than zero, at what level of output are profits equal to $0.00 thousand At what level of output are profits a maximum? [ |thousand. 21 Profit

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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The relationship between sales (units sold) and profit is shown in the diagram below:
21
A Quadratic
$18.00
$16.00
$14.00
$12.00
$10.00
$8.00
$6.00
$4.00
$2.00
$0.00
$-2.00
-1
Units Sold (thousands)
Other than zero, at what level of output are profits equal to $0.00
thousand.
At what level of output are profits a maximum?
thousand.
Profit
Transcribed Image Text:The relationship between sales (units sold) and profit is shown in the diagram below: 21 A Quadratic $18.00 $16.00 $14.00 $12.00 $10.00 $8.00 $6.00 $4.00 $2.00 $0.00 $-2.00 -1 Units Sold (thousands) Other than zero, at what level of output are profits equal to $0.00 thousand. At what level of output are profits a maximum? thousand. Profit
Practice question: Given: y = 15x + 7x2
22
Calculate the second derivative.
Solution: Using the power rule, we find:
dy/dx = y' = (1)15x(1-1) - (2)7x(2-1) = 15x° + 14x' = 15 + 14x
The second derivative is just the derivative of y!
y" = 15x° + 14x1 = (0)15x(0-1) + 14x(1-1) = 14
Question: Given the following equation:
y = 24x - 4x2
Which of the following equation represents the second derivative?
(Click to select) v
A y' = 8x
В у%3D24- 8х
c y' = -8
D y' = 24x - 4
Transcribed Image Text:Practice question: Given: y = 15x + 7x2 22 Calculate the second derivative. Solution: Using the power rule, we find: dy/dx = y' = (1)15x(1-1) - (2)7x(2-1) = 15x° + 14x' = 15 + 14x The second derivative is just the derivative of y! y" = 15x° + 14x1 = (0)15x(0-1) + 14x(1-1) = 14 Question: Given the following equation: y = 24x - 4x2 Which of the following equation represents the second derivative? (Click to select) v A y' = 8x В у%3D24- 8х c y' = -8 D y' = 24x - 4
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