El Nio 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 byQ=202Phho+0.5PngTEMP, whereQis the quantity of home heating oil demanded,Phhois the price of home heating oil per unit,Pngis 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, if the sellers of home heating oil are profit maximizers, should they raise prices or lower prices. Explain why and show all elasticity calculations. Thank you.