The revenue for selling y units is R=3y^2-2y+5 and The cost of producing y units is C=y^2+y-3 . Find the expression that represents profit.
can someone explain to me how to solve problems like this i have few of these needing to know trhe steps
Profit is revenue minus Costs.
Take the two functions and do the math (subtracting costs from revenue).
Thank you
To find the expression that represents profit, we need to subtract the cost function from the revenue function.
Given:
Revenue function: R = 3y^2 - 2y + 5
Cost function: C = y^2 + y - 3
Profit function: P = R - C
Substitute the values of R and C into the profit function:
P = (3y^2 - 2y + 5) - (y^2 + y - 3)
Distribute the negative sign inside the parentheses:
P = 3y^2 - 2y + 5 - y^2 - y + 3
Combine like terms:
P = 3y^2 - y^2 - 2y - y + 5 + 3
Simplify:
P = 2y^2 - 3y + 8
Therefore, the expression that represents profit is P = 2y^2 - 3y + 8.