Question

The revenue equation​ (in hundreds of millions of​ dollars) for barley production in a certain country is approximated by R(x)=0.0726x^2+1.4468x+2.1078 where x is in hundreds of millions of bushels. Find the​ marginal-revenue equation and use it to find the marginal revenue for the production of the given number of bushels.

(a) The​ marginal-revenue equation is R(x)=___ (Round to four decimal places as needed.)

(b) Find the marginal revenue for the production of 400,000,000 bushels. The marginal revenue is ___ hundred million dollars. (Type an integer or decimal rounded to two decimal places as needed.)

(c) Find the marginal revenue for the production of 450,000,000 bushels. The marginal revenue is ___ hundred million dollars. (Type an integer or decimal rounded to two decimal places as needed.)

Answer 1

ANSWER:

Given that,

The revenue equation is,

a)

The marginal revenue equation is,

b)

So the marginal revenue for the production of 400,000,000 or 4 hundred of millions bushels is,

c)

And lastly, marginal revenue for the production of 450000000 or 4.5 hundred of millions bushels is,