SOLUTION: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50
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Question 1072479: Ace cruiser line offers an inland waterway cruise to a group of 50 people for a price of R30 per person but it reduces the price person by R0.50 for each additional person above 50
How many people will provide maximum revenue for the cruise?
What is average rate of change if a group increase from 50 to 55 people?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
x, number of people above 50
Price,
Cruise Revenue,
y for revenue
Roots:
The middle of these is x=30, or number of people on the cruise, 80.
The maximum revenue, R450.
"average rate of change", what? of Revenue or of price?
Response: for PRICE.
-
The minimum group of 50 people, price was R30.
For 55 people, this is five-person lower price of or R27.5.
The rate of price change , which is DECREASING, is , R per person.
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.
The solution by "josgarithmetic" is .
Below find the correct solution.
-----------------
x, number of people above 50.
The total number of passengers is (x+50).
Price,
Cruise Revenue, R =
Roots:
The middle of these is x=5, or number of people on the cruise, 50+5 = 55.
The maximum revenue, R = (50+5)*(30-0.5*5) = R1512.5.
The solution by "josgarithmetic" is .
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