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 7 of Chapter 3 in the Business Calculus book The table below shows how supply and demand of caseliine vary depending on the price Price 15/gal) Demand (million of all Supply million of cal? 769 498 12 700 550 1.4 640 500 1.6 580 645 185 540 650 22 450 680 2.4 700 2.6 420 720 28 290 735 374 791 Note, there is some randomization in the above data to account for price fluctuations. Make sure to check that you input the correct data in your device. 810 Perform the following work Assume that supply has 2 quadratic relationship with the price. Find this relationship the help buttons contain an article to compute trendlines in Excel S(p) - 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 trend-lines in Excel) D(p) Round your answer to 3 decimal places Use the trendlines to find the price corresponding to the equilibrium price between supply and demand Sper gallon Round your answer to 2 decimal places From the price above what is the equilibrum quantity between supply and demand: million of gallons Round your answer to closest whole number Under these conditions, what is the consumer surplus? million of gallons Round your answer to closest whole number . Under these conditions, what is the producer Surplus? million of gallons Round your answer to closest whole number Discuss what is a mathematical model in general, and how mathematical models are used in this activity. Note the instructor will manually score this