SOLUTION: Suppose that a of students decided to organize a local concert to raise awareness and funds for the tibetan struggle, and that planning for the concert led to this information: -T

Algebra ->  Linear-equations -> SOLUTION: Suppose that a of students decided to organize a local concert to raise awareness and funds for the tibetan struggle, and that planning for the concert led to this information: -T      Log On


   



Question 675773: Suppose that a of students decided to organize a local concert to raise awareness and funds for the tibetan struggle, and that planning for the concert led to this information:
-The relationship between number of tickets sold (s) and ticket price (x) in dollars can be approximated by the linear function s=4,000-250x
-Expenses for promoting and operating the concert will include $1,000 for advertising, $3,000 for pavilion rental, $1,500 for security, and $2,000 for catering and event T-shirts for volunteer staff and band members.
a. Find a function that can be used to predict income (I) for any ticket price(x)
b.Find a function that can be used to predict profit (P) for any ticket price (x)
PLEEEAAAAASEEEE HEEEELLLLLPPP MEEEEEEE!!!!!!!I'M DESPERATE

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Income disregards money that is going out. It's only about
money coming in.
+s+=+4000-250x+
+s+ is NUMBER os tickets sold as a function of the
price of a single ticket.
The quantity +s%2Ax+ is INCOME from total ticket sales
+s%2Ax+=+%284000-250x%29%2Ax+
+I+=+4000x+-+250x%5E2+
----------------------
Profit = income minus costs
+P+=+I+-+%28+1000+%2B+3000+%2B+1500+%2B+2000+%29+
+P+=+I+-+7500+
+P+=+4000x+-+250x%5E2+-+7500+
----------------------
Don't get desperate. Just think over the
basics of price, quantity produced, income, and profit
It takes practice.