The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x)=x(60x^2+30x), where x is the amunt of cheese sold, in hundreds of pounds. The "profit" is -$80 when no cheese is sold. a. Find the profit functionb. Find the profit from selling 200lbs of Brie Cheese

a)

b) The profit from selling 200lbs of Brie Cheese is $240.

Step-by-step explanation:

a. Find the profit function

We have that:

The profit function is P(x), which is the integral of P'(x).

So

There, I applied the integral rules of sum and power.

Since P(0) = -80, K = -80

Then

b. Find the profit from selling 200lbs of Brie Cheese

200 lbs is 200/100 = 2 hundreds of pounds.

So this is P(2).

The profit from selling 200lbs of Brie Cheese is $240.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this