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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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How many zeros are in the product of any nonzero whole number less than 10 and 500
worty [1.4K]

Answer:

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If the non-zero whole number is odd, then there are 2 zeroes

Step-by-step explanation:

* <em>Lets explain the information in the problem</em>

- Whole numbers are positive numbers, including zero, without

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- Nonzero whole numbers are positive numbers, not including zero

- The non-zero whole numbers less then 10 are:

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- The product of any nonzero whole number less than 10 and 500

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# 1 × 500 = 5 × 100 ⇒ 2 zeros

# 2 × 500 = 2 × 5 × 100 = 10 × 100 ⇒ 3 zeros

# 3 × 500 = 3 × 5 × 100 = 15 × 100 ⇒ 2 zeros

# 4 × 500 = 2 × 2 × 5 × 100 = 2 × 10 × 100 ⇒ 3 zeros

# 5 × 500 = 5 × 5 × 100 = 25 × 100 ⇒ 2 zeroes

# 6 × 500 = 2 × 3 × 5 × 100 = 3 × 10 × 100 ⇒ 3 zeros

# 7 × 500 = 7 × 5 × 100 = 35 × 100 ⇒ 2 zeroes

# 8 × 500 = 2 × 2 × 2 × 5 × 100 = 4 × 10 × 100 ⇒ 3 zeros

# 9 × 500 = 3 × 3 × 5 × 100 = 45 × 100 ⇒ 2 zeros

- From all answers above:

# If the non-zero whole number is even (2 , 4 , 6 , 8), then there are

  3 zeros in the product

# If the non-zero whole number is odd (1 , 3 , 5 , 7 , 9), then there are

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Answer:

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Step-by-step explanation:

The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9

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