Comsumer Surplus Study The goal of this assignment is to apply Calculus to analyze consumer and producer surplus. This activity is based off the economical principles discussed in Section 3.1 of "Principle of Economics" and Section 2 of Chapter 3 in the Business Calculus book. The table below shows how supply and demand of gasoliine vary depending on the rice: Price ($Igal) I Demand (million of gal.) I Supply (million of gal.) 1 819 4-92 1.2 2'00 550 1.4 540 600 1.6 530 634 1.9 522' 660 2.2 450 680 2.4 430 200 2.6 420 220 2.8 390 235 3.3 330 251 Note: there is some randomization in the above data to account for price uctuations. Make sure to check that you input the correct data in your device. Perform the following work 0 Assume that Supply has a quadratic relationship with the price. Find this relationship (the help buttons contain an article to compute trendlines in Excel): 3(p] : _ 51.02012 + 315.306}? + 2.45.102 X Round your answer to 3 decimal places. - Assume that the Demand has a quadratic relationship with the price. Find this relationship (the help button links to an article to compute trendlines in Excel): DUI) = ' [57347132 _ 45531815! + 115[_}_122 x Round your answer to 3 decimal places - Use the trendlines to nd the price corresponding to the equlibrium price between supply and demand: 1.54 J $ per gallon Round your answer to 2 decimal plaoa