The revenue equation (in hunderds of milions of dollars) for barley production i
ID: 3353714 • Letter: T
Question
The revenue equation (in hunderds of milions of dollars) for barley production in a certain country is approximated by Rx)-0.0686x2+1.2347x2.2667 here x is in hundreds of millions of bushels. Find the marginal-evenue equation and use t to find the marginal revenue for the production of the given number of bushels. (a) The marginal-revenue equation is R'() (Round to four decimal places as needed.) (b) Find the marginal revenue for the production of 200,000,000 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 750,000,000 bushels. The marginal revenue ishundred million dollars Type an integer or decimal rounded to two decimal places as needed.)Explanation / Answer
Ans:
Marginal revenue is the derivative of the revenue function, so take the derivative of R(x).
a)R'(x)=dR/dx=2*0.0686x+1.2347=0.1372x+1.2347
b)when x=200,000,000=2 hundred millions
R'(2)=0.1372*2+1.2347=1.5091
c)when x=750,000,000=7.5 hundred millions
R'(7.5)=0.1372*7.5+1.2347=2.2637
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