SOLUTION: I am struggling with this word problem. I would greatly appreciate it if someone could help me. Essay: Show all work, Bob's Barber Shop estimates theis gross revenue for the se

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: I am struggling with this word problem. I would greatly appreciate it if someone could help me. Essay: Show all work, Bob's Barber Shop estimates theis gross revenue for the se      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 400584: I am struggling with this word problem. I would greatly appreciate it if someone could help me.
Essay: Show all work, Bob's Barber Shop estimates theis gross revenue for the second quarter to be given by the polynomial 2x^3+5x^2-x-1. The shop estimates their costs for that quarter to be given by 4x^2-9x-8. For the second quarter, find and simplify a polynomial that will represent their profit.

Found 2 solutions by nerdybill, josmiceli:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Essay: Show all work, Bob's Barber Shop estimates theis gross revenue for the second quarter to be given by the polynomial 2x^3+5x^2-x-1. The shop estimates their costs for that quarter to be given by 4x^2-9x-8. For the second quarter, find and simplify a polynomial that will represent their profit.
.
"Profit" = "revenue" - "costs"
"Profit" = (2x^3+5x^2-x-1) - (4x^2-9x-8)
"Profit" = 2x^3+5x^2-x-1 - 4x^2+9x+8
"Profit" = 2x^3+x^2-x-1+9x+8
"Profit" = 2x^3+x^2+8x-1+8
"Profit" = 2x^3+x^2+8x+7
.
They ar looking for:
2x^3+x^2+8x+7

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If profit = revenue - costs, then
P+=+2x%5E3+%2B+5x%5E2+-+x+-+1+-+%284x%5E2+-+9x++-+8%29
P+=+2x%5E3+%2B+5x%5E2+-+x+-+1+-+4x%5E2+%2B+9x+%2B+8
P+=+2x%5E3+%2B+x%5E2+%2B+8x+%2B+7