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Ksenya-84 [330]
3 years ago
10

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]3 years ago
5 0

Answer:

  • See below

Step-by-step explanation:

<u>We have:</u>

  • p = -1/5x + 100 = -0.2x + 100

a) <u>The revenue is:</u>

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

b) <u>x = 200, find R:</u>

  • R = -0.2(200²) + 100(200) = 12000

c) <u>This is a quadratic function and the maximum value is obtained at vertex.</u>

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

d) <u>The max revenue is obtained when -0.2x + 100 at max:</u>

  • The maximum possible is p = 100 when x = 0
butalik [34]3 years ago
5 0

Answer to your question is given in the attachment

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

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