Q 2: If the ticket agency charges ‘p’ dollars per ticket for a concert, it can sell maximum of (40000 – p) tickets. Find:

a. A polynomial to represent the total revenue with a ticket price as p dollars.
b. How many tickets will be sold for a price of $10 each.
c. Total revenue if the price of each ticket is $10.

a. p(4000-p)

b. 40000-10=39,990
c. 10(39990)=399,900

To solve this problem, let's break it down step by step:

a. To represent the total revenue with a ticket price of p dollars, we need to multiply the ticket price by the number of tickets sold. The number of tickets sold can be calculated as (40000 - p). Therefore, the polynomial to represent the total revenue is:

Revenue(p) = p * (40000 - p)

b. To find the number of tickets sold for a price of $10 each, we substitute p = 10 into the polynomial we found in part a:

Revenue(10) = 10 * (40000 - 10)

Simplifying this equation will give us the total revenue when the ticket price is $10.

c. To find the total revenue if the price of each ticket is $10, we substitute p = 10 into the polynomial we found in part a:

Revenue(10) = 10 * (40000 - 10)

Again, simplifying this equation will give us the total revenue when the ticket price is $10.