Number 2 500-2.)-x-500x-2x²π- TR-CTs (soox - 2x² - 3600-1004 = 2 ( 7(x) = 400x - 4x ².71-500x-22.3600-100 x-2x²-3600a. Determine the profit function.b. Find the break-even point(s). (500x - 28²π-400x4x²-3600c. Find the value of x that maximized the revenue. Find the maximum revenue.b. π(x)=400x-4x²-36000-406x-4x2 T 36064x2-400x + 36000= 64(x² 100x +900) = ((x-90)(x-10) = 6x-10=6X=10Evaluate f(5), f(0), f (-3).2x²X-90=0x=902. Sketch the graph of the piecewise defined functiong(x) =demand function pex)-500-2xC.R(x)+(500-2x). x. 500x-2x²R'(x): d/dx (600x-2*²)=500-4×Setting R'(x) equal to zero and500-4x304x=566X=125->CriticalpointR(125): 500 125-2-125²31250=3125031,250x²for x < 0-3for x = 0-2x + 3 for x > 0

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Answered: 2. Sketch the graph of the piecewise…

2. Sketch the graph of the piecewise defined function x² for x < 0 for x = 0 -3 -2x + 3 for x > 0 Evaluate f(5), f(0), f (-3). g(x) =

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.4: Exponential And Logarithmic Equations

Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...

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Question

Number 2

500-2.)-x-500x-2x²
π- TR-C
Ts (soox - 2x² - 3600-1004 = 2 ( 7(x) = 400x - 4x ².
71-500x-22.3600-100 x-2x²
-3600
a. Determine the profit function.
b. Find the break-even point(s). (500x - 28²
π-400x4x²-3600
c. Find the value of x that maximized the revenue. Find the maximum revenue.
b. π(x)=400x-4x²-3600
0-406x-4x2 T 3606
4x2-400x + 36000= 6
4(x² 100x +900) = (
(x-90)(x-10) = 6
x-10=6
X=10
Evaluate f(5), f(0), f (-3).
2x²
X-90=0
x=90
2. Sketch the graph of the piecewise defined function
g(x) =
demand function pex)-500-2x
C.R(x)+(500-2x). x. 500x-2x²
R'(x): d/dx (600x-2*²)=500-4×
Setting R'(x) equal to zero and
500-4x30
4x=566
X=125->Critical
point
R(125): 500 125-2-125²
31250=31250
31,250
x²
for x < 0
-3
for x = 0
-2x + 3 for x > 0

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