A Biomass Power Plant uses biodegradable wastes as fuel to produce electricity. The cost A dollars per hour to produce electricity is given to be A = 12 + 0.3B + 0.27B^2 where B is in megawatts. The revenue in Dollars per hour earned from selling electricity is 15B-0.2B^2. Find the value of B that gives the maximum profit. The answer can be proven using the second derivative if it really does maximize the profit if it yields less than zero value.
A Biomass Power Plant uses biodegradable wastes as fuel to produce electricity. The cost A dollars per hour to produce electricity is given to be A = 12 + 0.3B + 0.27B^2 where B is in megawatts. The revenue in Dollars per hour earned from selling electricity is 15B-0.2B^2. Find the value of B that gives the maximum profit. The answer can be proven using the second derivative if it really does maximize the profit if it yields less than zero value.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![A Biomass Power Plant uses biodegradable wastes as fuel to produce
electricity. The cost A dollars per hour to produce electricity is given to be
A = 12 + 0.3B + 0.27B^2 where B is in megawatts. The revenue in Dollars
per hour earned from selling electricity is 15B-0.2B^2. Find the value of B
that gives the maximum profit. The answer can be proven using the
second derivative if it really does maximize the profit if it yields less than
zero value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f02db8d-5fd2-4924-a51a-3e50467bcec9%2F951eb031-6a0f-4fa6-a202-166581b855be%2Fstaqrkif_processed.png&w=3840&q=75)
Transcribed Image Text:A Biomass Power Plant uses biodegradable wastes as fuel to produce
electricity. The cost A dollars per hour to produce electricity is given to be
A = 12 + 0.3B + 0.27B^2 where B is in megawatts. The revenue in Dollars
per hour earned from selling electricity is 15B-0.2B^2. Find the value of B
that gives the maximum profit. The answer can be proven using the
second derivative if it really does maximize the profit if it yields less than
zero value.
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