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Homework answers / question archive / 1) An electric power plant uses solid waste for fuel in the production of electricity

1) An electric power plant uses solid waste for fuel in the production of electricity

Civil Engineering

1) An electric power plant uses solid waste for fuel in the production of electricity. The cost Y in dollars per hour to produce electricity is Y = 12 + 0.4X + 0.18X^2, where X is in megawatts. Revenue in dollars per hour from the sale of electricity is 16X - 0.2X^2. Find the value of X that gives maximum profit. The value of X that gives maximum profit is megawatts. (Round to two decimal places.)

2) An electric power plant uses solid waste for fuel in the production of electricity. The cost Y in dollars per hour to produce electricity is Y = 12+ .3x+.27x2, where x is in megawatts. Revenue in dollars per hour from the sale of electricity is 15x-.2x2. Find the value of X that gives maximum profit.

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Answer:

2) profit= revenue-cost
=15x-.2x2-12- .3x-.27x2

= 14.7x-.47x2-12

for profit to be maximum differenciate

14.7-.94x=0

x=15.64MW

1) 

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