SOLUTION: Please help..... Thanks If a sales person charges p dollars each for concert tickets, then he expects to sell 2000 - 100p tickets for an event. a) Find a polynomial R(p) t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help..... Thanks If a sales person charges p dollars each for concert tickets, then he expects to sell 2000 - 100p tickets for an event. a) Find a polynomial R(p) t      Log On


   

Question 168854: Please help..... Thanks
If a sales person charges p dollars each for concert tickets, then he expects to sell 2000 - 100p tickets for an event.

a) Find a polynomial R(p) that represents the total revenue
when the tickets are p dollars each. b) Find R(5), R(10), and R(20).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Revenue: price of item * # of items sold


In this case the revenue is


R%28p%29=p%2A%282000+-+100p%29


Note: you can distribute if you want, but in this case, it is not necessary


a)

Find R(5)


R%28p%29=p%2A%282000+-+100p%29 Start with the revenue function


R%285%29=5%282000+-+100%285%29%29 Plug in p=5


R%285%29=5%282000+-+500%29 Multiply


R%285%29=5%281500%29 Subtract


R%285%29=7500 Multiply


So if the price is $5, then the revenue will be $7,500


You follow the same steps in finding R(10) and R(20) (which I'll let you do)