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2 years ago

The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)

Mathematics

2 answers:

olga nikolaevna [1]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

We have:

p = -1/5x + 100 = -0.2x + 100

a) The revenue is:

R = px
R = x( -0.2x + 100)
R= -0.2x² + 100x

b) x = 200, find R:

R = -0.2(200²) + 100(200) = 12000

c) This is a quadratic function and the maximum value is obtained at vertex.

x = -100/(-0.2*2) = 250 is the required quantity

d) The max revenue is obtained when -0.2x + 100 at max:

The maximum possible is p = 100 when x = 0

butalik [34]2 years ago

5 0

Answer to your question is given in the attachment

<h2>HOPE THIS HELPS :)</h2>

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Yakvenalex [24]

Answer: (C) even

Step-by-step explanation:

A function is even when f(x) = f(-x)

A function is odd when f(-x) = -f(x)

f(x) = -2x⁴ + 3x²

f(-x) = -2(-x)⁴ + 3(-x)²

= -2x⁴ + 3x²

f(x) = f(-x) so the function is even

-f(x) = -(-2x⁴ + 3x²)

= 2x⁴ - 3x²

f(-x) ≠ -f(x) so the function is not odd.

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Bas_tet [7]

Answer:

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