Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
The demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.
Define Marginal revenue
Marginal revenue is a central concept in microeconomics that describes the additional total revenue generated by increasing product sales by 1 unit.
Given expression is,
R′(x) = 0.06x² − 0.05x + 138
To make R'(x) to R(x) just integrate R'(x),
R(x) = ∫ R'(x) dx
= ∫ (0.06x² − 0.05x + 138) dx
= 0.06x³/3 − 0.05x²/2 + 138 x + C
We get, R(x) = 0.02x³ − 0.025x² + 138 x + C
It's given, the revenue is 0 means no items sold so R(0) = 0.
Now, put x = 0 and find C
R(0) = 0.02(0)³ − 0.025(0)² + 138 (0) + C
0 = 0 + C
C = 0
So, R(x) = 0.02x³ − 0.025x² + 138 x, since C = 0
Now, take x common from R(x) will give us,
R(x) = x( 0.02x² − 0.025x + 138 )
so, R(x) = x p(x)
so, p(x) = 0.02x² − 0.025x + 138
Hence, the demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.
To read more about Marginal revenue.
https://brainly.com/question/13444663
#SPJ4
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
