Marginal Revenue. Suppose the total revenue function for a blender isR(x)= 36x-0.01x2 dollars where x is the number of units sold. (a) What function gives the marginal revenue?(b) What is the marginal revenue when 600 units are sold?(c) What is the marginal revenue when 2000 units are sold?(d) What is the marginal revenue when 1800 units are sold?

Question
Asked Jun 16, 2019
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Marginal Revenue. Suppose the total revenue function for a blender is

R(x)= 36x-0.01x2 dollars where x is the number of units sold. 

(a) What function gives the marginal revenue?

(b) What is the marginal revenue when 600 units are sold?

(c) What is the marginal revenue when 2000 units are sold?

(d) What is the marginal revenue when 1800 units are sold?

 

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Expert Answer

Step 1

The total revenue function for a blender is R(x)= 36x-0.01x2 dollars where x is the number of units sold.

TR 36x- 0.01x
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TR 36x- 0.01x

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Step 2

Differentiate total revenue with respect to x to get marginal revenue.

d
-(TR) - (36х - 0.01x?)
d
d
-(36х)- (0.01)
— 36- 0.01(2х)
3 36 - 0.02х
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d -(TR) - (36х - 0.01x?) d d -(36х)- (0.01) — 36- 0.01(2х) 3 36 - 0.02х

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Step 3

Thus, the function that gives marginal...

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Math

Calculus

Derivative