Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 6x and C(x) equals = 0.002x^2+2.2x+40, find each of the following. a. p(x) b. p(100) c. P'(x) d. P'(100)

b. 320

d. 3.76

Step-by-step explanation:

Given that:

Revenue function:

Cost Function:

We know that,

Answer a: Profit = Revenue - Cost

Answer b:

P(100) = ?

Putting value of x as 100 in above equation:

Answer c:

P'(x) = ?

Differentiating the equation

Answer d:

P'(100) = ?

Putting x = 100 in equation

pi x^2

step-by-step explanation:

pi times x squared