(Solved): This question is based on Section \( 4.7 \) Pretend you own a pizzeria that sells pizzas at a reven ...

This question is based on Section \( 4.7 \) Pretend you own a pizzeria that sells pizzas at a revenue of \( R(x)=15 x \), where x represents the number of pizzas sold. Suppose your cost of producing \( x \) pizzas is represented by \( C(x)=\frac{1}{2} x^{2}+3 x+60 \) Step 1. Determine the profit function, \( P(x)=R(x)-C(x),[1 \) mark] Step 2. Calculate the critical point of the function and use it to determine the number of pizas that need to be sold in order to maximize your profit. [2 marks].