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The revenue equation (in hunderds of millions of dollars) for barley production

ID: 3358969 • Letter: T

Question

The revenue equation (in hunderds of millions of dollars) for barley production in a certain country is approximated by R(x)equals=0.0701x^2+1.2357x+2.1343 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)=

(b) Find the marginal revenue for the production of 600,000,000 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 is { } hundred million dollars.

(Type an integer or decimal rounded to two decimal places as needed.)

The revenuc an hundrds of miliana of do lars) for baricy preducton ina crtcin country is apprximatcd by Rix-00701x12357x+2.1343 whe xi in hundreds of miliana of buthclz. Find the marginal ren andusc it to find th margnal n for the production of h given number of bushcs (a) The marginal qation is R'xi Roune to Tour decimal gaces as needed) The marginal revenue i:hundred milion dollars pat" as-sa) prodaction or The marginal revenue ishundred milion dollars lypa an intagar or decimal oundad ta tan datimal plazea as ncecad)

Explanation / Answer

R(x) = 0.0701x^2+1.2357x+2.1343

DR/dx = marginal revenue

a) DR/dx = R'(x) = 0.1402x + 1.2357

b) put x = 6 in above equation

R'(6) = 2.08

c) put x = 7.5

R'(7.5) = 2.29

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