__Set up the cost function C(x):__

C(x) = Cost per product * x + Fixed Costs

C(x) = 293x + 474778

__Set up the Revenue function R(x):__

R(x) = Sale Price * x

R(x) = 820x

__Set up the Profit Function P(x):__

P(x) = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 820x - (293x + 474778)

P(x) = 820x - 293x - 474778

**P(x) = 527x - 474778**