Question

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.

Answer 1

Hello, your cost function will be 12,320+(x*396). Your revenue function will be (452x) and the profit function will be (452x)-12,320+(x*396). I hope this helps, have a good day.

Answer 2

Answer: $C(x)=12320+396x$

$R(x)=452x$

$P(x)=12320-60x$

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

$C(x)=12320+396x$

Similarly, Selling price of per lawn mower = $452

So, revenue function would be

$R(x)=452x$

And profit function would be

P(x) =  Revenue - Cost

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

$P(x)=452-12320-392x\\\\P(x)=-12320+60x$

Hence, $C(x)=12320+396x$

$R(x)=452x$

$P(x)=60x-12320$