El Niño wind patterns affected the weather across the United States during the winter of
1997″1998. Suppose the demand for home heating oil in Connecticut is given by Q =
20 ” 2Phho + 0.5Png ” TEMP, where Q is the quantity of home heating oil demanded,
Phho is the price of home heating oil per unit, Png is the price of natural gas per unit,
and TEMP is the absolute difference between the average winter temperature over the
past 10 years and the current average winter temperature. If the current price of home
heating oil is $1.20, the current price of natural gas is $2.00, and the average winter
temperature this year is 40 degrees compared to 28 degrees over the past 10 years, the
quantity of home heating oil demanded is:
a. 6.6 gallons.
b. 16.6 gallons.
c. 35.4 gallons.
d. 20 gallons.
e. none of the above.
You must produce 200 records this week. Using the Lagrangian technique, you
determine the profit-maximizing combination of pink vinyl and blue vinyl records and
find that the Lagrangian multiplier is $2.50. From this you conclude that:
a. the marginal revenue is about $2.50.
b. the average revenue is about $2.50.