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A coal-fired power plant can produce electricity at a variable cost of 4 cents per kilowatt hour when running at its full capacity of 30 megawatts per hour, 16 cents per kilowatt hour when running at 20 megawatts per hour, and 24 cents per kilowatt hour when running at 10 megawatts per hour. A gas-fired power plant can produce electricity at a variable cost of 12 cents per kilowatt-hour at any capacity from 1 megawatt per hour to its full capacity of 5 megawatts per hour. The cost of constructing a coal-fired plant is $50 million, but it costs only $10 million to build a gas-fired plant. LO17.2
a. Consider a city that has a peak afternoon demand of 80 megawatts of electricity. If it wants all plants to operate at full capacity, what combination of coal-fired plants and gas-fired plants would minimize construction costs?
b. How much will the city spend on building that combination of plants?
c. What will the average cost per kilowatt-hour be if you average over all 80 megawatts that are produced by that combination of plants? (Hint: A kilowatt is one thousand watts, while a megawatt is one million watts),
d. What would the average cost per kilowatt-hour be if the city had instead built three coal-fired plants?
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- everything is in the image!arrow_forwardRespond to isaiah Great day everyone and welcome to week 6! Every time we start to have fun, the government ruins it! The success of your business due to the strong economy explains why my spouse feels excited. The increase in interest rates may lead to a decline in new home demand. When mortgage rates rise they lead to higher costs which can discourage potential buyers and reduce demand in the housing market. The government increases interest rates as a measure to suppress inflation and stop the economy from growing too fast. Business expansion during this period presents significant risks. Before making significant investments it would be prudent to monitor how the market responds to the rate increase. Business expansion during a decline in demand for new homes could create financial difficulties.arrow_forwardPlace the labeled CS to represent the new consumer surplus in the market and the area labeled PS to represent producer surplusarrow_forward
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