The cost of manufacturing lawn mowers is $12,320 in overhead costs and $396 per lawn mower in production costs. marketing studies show that the best selling price is $452 per lawn mower. find the cost function, c(x), the revenue function, r(x), and the profit function, p(x), that model this scenario for x lawn mowers manufactured and sold.

Step-by-step explanation:

Since we have given that

Cost of overhead charges = $12320

Cost of per lawn mower = $396

So, we need to find the cost function:

C(x) = overhead charges + cost of per lawn mower

here, x is the number of lawn mower.

So, Cost function is given by

Similarly, Selling price of per lawn mower = $452

So, revenue function would be

And profit function would be

P(x) =  Revenue - Cost

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

Hence,