R (x) = x (65-3x)

C (x) = 105+16x

P (X) = ?

What is the profit function?

How would I even find this out with the info given?

Answer: P (x) = - 3x^2 + 49x - 105

Step-by-step explanation:

The revenue accrued is the total income from sales or services rendered irrespective of the cost of purchase, production or rendering of the service. It means that revenue is the sum of cost and and profit.

From the information given, the revenue is expressed as a function,

Revenue = R (x) = x (65-3x) = 65x - 3x^2

The cost function is expressed as

C (x) = 105+16x

Revenue = Profit + Cost

Therefore,

R (x) = P (x) + C (x)

65x - 3x^2 = P (x) + 105+16x

P (x) = - 3x^2 + 65x - 16x - 105

P (x) = - 3x^2 + 49x - 105