Concept explainers
a.
To write: A formula for the total revenue per trip received by the bus company.
a.
Answer to Problem 74RE
Explanation of Solution
Given information: A bus will hold 60 people. The fare charges( p dollars) is related to the number x of people who use the bus by the formula
Calculation:
The fare per person is
b.
To find: The number of people per trip and the corresponding fare.
b.
Answer to Problem 74RE
4.00 dollars is the revenue per person and 120 is the number of people per trip will make the marginal revenue equal to zero.
Explanation of Solution
Given information: A bus will hold 60 people. The fare charges( p dollars) is related to the number x of people who use the bus by the formula
Calculation:
4.00 dollars is the revenue per person and 120 is the number of people per trip will make the marginal revenue equal to zero.
c.
To find: The bus company’s fare policy is good for its business.
c.
Answer to Problem 74RE
No, the company charges less overall for 60 people than for 40 people.
Explanation of Solution
Given information: A bus will hold 60 people. The fare charges( p dollars) is related to the number x of people who use the bus by the formula
Calculation:
Price per person with 40 people is 4 dollars.
2.25 dollars is price per person when there are 60 people on the bus.
Company’s fare policy is not good because , the company charges less overall for 60 people than for 40 people.
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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