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Joe needs to provide 575 megawatts of power to a client. He can either buy the power from nearby companies or generate it on his own. James' Hydro Plant James' Coal Plant Bought Power  P1=$48 P2=$50 P3= $45 476 Capacity 227 Capacity  Unlimited Capacity  TC hydro=500+0.085X^2+0.06XY TC coal = 500+5.9Y+0.14Y^2+0.04XY TC other = 45Z How many megawatts should Joe get from each source to minimize costs?

Joe needs to provide 575 megawatts of power to a client. He can either buy the power from nearby companies or generate it on his own. James' Hydro Plant James' Coal Plant Bought Power  P1=$48 P2=$50 P3= $45 476 Capacity 227 Capacity  Unlimited Capacity  TC hydro=500+0.085X^2+0.06XY TC coal = 500+5.9Y+0.14Y^2+0.04XY TC other = 45Z How many megawatts should Joe get from each source to minimize costs?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Joe needs to provide 575 megawatts of power to a client. He can either buy the power from nearby companies or generate it on his own.

James' Hydro Plant James' Coal Plant Bought Power 
P1=$48 P2=$50 P3= $45
476 Capacity 227 Capacity  Unlimited Capacity 

TC hydro=500+0.085X^2+0.06XY

TC coal = 500+5.9Y+0.14Y^2+0.04XY

TC other = 45Z

How many megawatts should Joe get from each source to minimize costs? Hint: use the profit equation and derrivatives 

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