Download Pre-Calculus Arithmetic Sequence Project and more Cheat Sheet Mathematics in PDF only on Docsity! Project Report PROJECT NAME: STATEMENT OF PURPOSE : DATE: SEATING ARRANGEMENTS REPORT: IN THE PROPOSED ARENA, THERE ARE 2,500 SEATS IN THE FIRST ROW. THE NUMBER OF ROWS PROPOSED IS 5 THE NUMBER OF SEATS INCREASED BY EACH ROW IS 1000 6,500 SEATS ARE PROPOSED FOR THE ARENA'S VERY LAST ROW SINCE THE FIRST ROW HAS 2,500 SEATS AND THE SUBSEQUENT ROWS EACH HAVE 1000 SEATS, THERE ARE A TOTAL OF 22,500 SEATS. A. NUMBER OF SEATS IN THE FIRST ROW: B. NUMBER OF ROWS: C. NUMBER OF SEATS INCREASE BY: D. NUMBER OF SEATS IN THE LAST ROW: E. TOTAL NUMBER OF SEATS IN THE ARENA: SEAT PRICING PROPOSAL: THE PROPOSED ARENA'S TARGET IS TO ACCOMMODATE AS MANY AS 22,500 SPECTATORS. AUREOLA ARENA'S PROPOSED DESIGN AND INTERNAL SEATING LAYOUT OCTOBER 29, 2022 GIVEN THAT YOU CAN SEE THE ENTIRE GAME WHILE RECEIVING HIGH-QUALITY SERVICE AND FACILITIES, THE FEE FOR EACH ROW IS ALREADY FAIR AND ACCEPTABLE, RANGING FROM PHP 4,271 TO 13,500. THOUGH THERE ARE SOME FACTORS THAT INFLUENCE TICKET PRICES, SUCH THE OPPONENTS, COMPETITOR, WEATHER, PERFORMANCE, AND GAME OPERATOR TO MAINTAIN THE BROADCAST AND KEEP A SMOOTH GAME FLOW, THIS MEANS THAT THE PRICE OF THE TICKET MAY VARY DEPENDING ON A VARIETY OF CIRCUMSTANCES. GIVEN THAT IT IS ALREADY ANTICIPATED THAT THERE WOULD BE A LARGE AUDIENCE WATCHING, PARTICULARLY GIVEN HOW MUCH FILIPINOS ENJOY PLAYING AND WATCHING BASKETBALL, THE PROJECTED ARENA SEAT NUMBER WAS DECIDED TO BE AT THE MAXIMUM LEVEL CONCEIVABLE (22,500). AT THE SAME TIME, THERE IS A GOOD LIKELIHOOD THAT MANY FOREIGNERS WILL ATTEND AND PURCHASE TICKETS IF AN INTERNATIONAL BASKETBALL GAME WERE TO BE PLAYED IN THE PROPOSED ARENA. THE GOAL OF THE SEATING ARRANGEMENT PROPOSED BY THE LAURENT ARCHITECTURAL FIRM IS TO ACCOMMODATE UP TO 22,500 SPECTATORS IN THE ARENA, WITH THE FIRST ROW OF THE RINK HOLDING 2,500 PEOPLE AND EACH SUBSEQUENT ROW ADDING 1,000 SEATS ARITHMETICALLY. IN TERMS OF PRICING, THE COMPANY SAYS THAT A MORE EQUITABLE AND APPROPRIATE PRICE RANGE SHOULD BEGIN IN THE FIRST ROW, WHICH IS THE VIP SEATING, WITH A TICKET OF 13,500 AND BE GEOMETRICALLY REDUCED BY 3/4. Formula: aₙ = a₁(r)ⁿ⁻¹ Solution a₁ = First row (VIP) a₁ = 13,500 (3/4)¹⁻¹ = PHP 13,500 a₂ = Second row (Patron) a₂ = 13,500 (3/4)²⁻¹ = PHP 10,125 a₃ = Third row (Lower Box) a₃ = 13,500 (3/4)³⁻¹ = 7,593.75 or PHP 7,594 a₄ = Fourth row (Upper Box) a₄ = 13,500 (3/4)⁴⁻¹ = 5,695.3125 or PHP 5,695 a₅ = Fifth row (General Admission) a₅ = 13,500 (3/4)⁵⁻¹ = 4271.484375 or PHP 4,271
