Question

the owner of the exponent resort allows to people to rent the resort for parties at 6,000 if the number of people is 30 or less so that cost per person is 200.00 only if 30 people attend. The owner reduces the price per person by 5.00 for each additional head for 30 people above

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given the owner of the exponent resort allows to people to rent the resort for parties at Rs 6,000 if the number of people is 30 or less so that cost per person is Rs 200.00 only if 30 people attend. The owner reduces the price per person by Rs 5.00 for each additional head for 30 people above.

Construct a table for revenue if 30,35 and 50 people attend

Will the revenue increase as the number of people increased from 30 to 50?

Write an equation describing the revenue for parties with x more than 30 people

Find the number of people that will give the maximum revenue.

• According to the question if Rs 6000. The price is reduced by Rs 5 if more than 30 people attend, 35 people will attend. 35 – 5 = 30 So we get 5 x 5 = 25. 200 – 25 = Rs 175. So 175 x 35 = 6125
• Similarly if 50 people attend we get 50 – 30 = 20 we get 20 x 5 = 100. 200 – 100 = Rs 100
• So 100 x 50 = 5000
•       So table will be
•              People                     Rs
•                 30                      6000
•                35                       6,125
•                 50                      5000
• The revenue will increase from 30 to 35 and decrease from 35 to 50
• Next we need to write an equation..
•                            (200 – 5 (x – 30))x
•                               (200 – 5x + 150)x
•                                 (350 – 5x)x
•                                   350 x – 5x^2
• So the revenue is maximum when x = 35 (it is Rs 6125)

Reference link will be

https://brainly.in/question/19372439