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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. 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.
Expert Solution
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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