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Question
the number of bus riders from the suburbs to downtown per day is represented by 1200(1.5-x) where x is the fare in dollars. what fare will maximize the total revenue?
It is known that the total fare is pN where p is the price for
each one and N is the total passenger.
It is known that the fare is p = x.
It is known that the total passengers N = 1200(1.5-x).
Given these two variables, we know that the total price is
pN = x(1200)(1.5-x) = 1800x - 1200x².
To solve this, let f(x) be the total price (1800x - 1200x²),
take the derivative of the function with respect to x,
set the derivatve equal to zero, and solve for x.
As can be seen, the second derivative is negative,
which means that this value is a maximum.
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Answers by Expert:
Scotto
Expertise
Any kind of calculus question you want. I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.
Experience
Experience in the area: I have tutored students in all areas of mathematics for over 25 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Publications
Maybe not a publication, but I have respond to well oveer 7,500 questions on the PC.
Well over 2,000 of them have been in calculus.
Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required.
I graduated with honors in both my BS and MS degree from Oregon State University.
I was allowed to jump into a few junior level courses my sophomore year.
Awards and Honors
I have been nominated as the expert of the month several times.
All of my scores right now are at least a 9.8 average (out of 10).
Past/Present Clients
My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you from all over the world.
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