Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows theprice-demand and total cost data, where:• p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags;• C is the total cost (in dollars) of producing a sleeping bags.r (sleeping bags)p ($)C ($)9524013,00012023514,30018015518,5002205021,000Find a quadratic regression equation for the price-demand data, using x as the independent variable.p= a + b + cx²Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places.Revenue ModelUsing the regression model computed above, find a model for the weekly revenue, using x as theindependent variable.NOTE: Do not calculate another regression. Use the price equation to finda model for revenueR(z) =p · x.R(x) = p · x = (a + bx + cx²)x= ax + bx² + cx³of 1O words* Accessibility: InvestigateO Tuno horo AcrobatPicture FormatWhat is a? Round to the nearest integer.What is b? Round to 2 decimal places.What is c? Round to 4 decimal places.Use the weekly revenue model to estimate the weekly revenue when the weekly demand is 150.Round to the nearest dollar.24Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 186.Round to the nearest cent.%$.per sleeping bagUse the revenue model to estimate the average weekly revenue per bag when the weekly demand is190. Round to the nearest cent.$.per sleeping bagO wordsAccessibility: InvestigateO. FocusType here to searchof%23

Given information: x(Sleeping bags) p($) C($) 95 240 13000 120 235 14300 180 155 18500 220 50 21000 1) Use the given data to form the excel table: X P(Y) X*Y X2 X3 X4 X2Y 95 240 22800 9025 857375 81450625 2166000 120 235 28200 14400 1728000 207360000 3384000 180 155 27900 32400 5832000 1049760000 5022000 220 50 11000 48400 10648000 2342560000 2420000 Sum 395 680 89900 104225 19065375 3681130625 12992000 The quadratic regression equation for price demand data is given as . c·∑x2+b·∑x+n·a=∑yc·∑x3+b·∑x2+a·∑x=∑xyc·∑x4+b·∑x3+a·∑x2=∑x2y Use the above equation to determine the value of a, b and c: a=111.8174≈112b=2.5913≈2.59c=−0.0131≈-0.0131 The quadratic regression equation for price demand data is given as p=112+2.59x-0.0131x2.2) R(x)=p(x)·x=112+2.59x-0.0131x2x=112x+2.59x2-0.0131x3 Determine the value of a, b and c by comparing the obtained R(x) to the general equation R(x)=a+bx2+cx3: a=112b=2.59c=-0.01313) x=150R(x)=112150+2.591502-0.01311503=16800+58275-44212.50=30862.5≈$30863 The weekly revenue model to estimate the weekly revenue when the weekly demand is 150 is $30863.