I have a presentation but I don't know how to explain these calculations or make a graph out of it, can you help me with a script and help with graph and table

Question: A baseball stadium holds 52 000 spectators. Average attendance at a game was 27 000 with tickets priced at $10. When tickets were decreased to $8, attendance rose by 8 000. What price should the owners charge to maximize revenues? ($8.38)

Requirements:

3. Analyze a specific scientific equation or formula; analysis should include some or all of the following: o Differentiation to determine rates and/or extreme values o Full analysis of the function and its derivative(s) in order to sketch its graphy 31" of the year your bene At 3% rate R Fa 19 2 Let x represents the member of times the price decreased Domain : OLx 25 1/2 R ( x ) = ( 10- 2x ) ( 27000 + 8000 x 3/ 1) Find the first derivative : R ( x ) = dR - - 2(27000 +8000*) + 8080 ( 10-2x ) da 0 = -54050 - 16000x +80000 - 16000 y X = 1 (P 0 - 26000 - 32000 x e) y = x2 - 6x 2 - x8 - zx = 1 (1) g y = x2 - 12x + 8 EndI Fin x - 26000 32000 will SonicMaster nd the vertex of each quadratic by completing the square. x - 13 16 (2) Critical Points & Extreme x = 13 is a critial Point 16 . Hamr XE = 1 ( R (0 ) = 270000 x91 - zxz = (P e ) y = -7x2 + 14x - 3 R ( 13 ) = 280, 5625 R ( 5 ) = 0 . The maximum point is (13, 280, 5625, ximum or minimum point of 0901OF (09-03) ~mpleting the square. Point of Inflectin R' ( x ) - 26080 - 32000x and R "(x ) - - 32000. Since there is no variable in second derivative, there is NO point of inflection