Can you please help me solve Question 1 and Question 2 step-by-step and in detail? Thank you in advance!

Question 1

You are running a small business which converts normal bikes to electric bikes. There's a growing market in Salt Lake City, because it's much easier to bike from down town Salt Lake City to the University of Utah with electric assistance.

You model your costs and revenue as follows:

C(x) = 700 + 50x R(x) = x^2 + 150x

How many bicycles should you covert to maximize prot? What will the maximum prot be?

Question 2

The supply and demand functions for a product are given below. Find the equilibrium quantity and price. Show work and round quantity to the nearest item and price to the nearest dollar.

Supply: p = q + 7

Demand: p = 1000 q