Question

A hockey team plays in an arena that has a seating capacity of 15,000 spectators. With the ticket price set at $14, average attendance at recent games has been 9500. A market survey indicates that for each dollar the ticket price is lowered, the average attendance increases by 1000. Find the ticket price that maximizes revenue from ticket sales. Recall that revenue is: ticket price x Attendance Enter the exact value of the ticket price. Answer An open-top box is to be made by cutting small congruent squares from the comers of a 12-in-by-12-in. sheet of tin and bending up the sides. How large should the squares cut from the coners be to make the box hold as much as possible? Enter the maximum volume of the box. Answer Suppose that the revenue r(z) 9r and the cost c(z) - -6r +15z where z represents millions of phones produced, Is there a production level that maximizes profit? If so, what is it? Maximum profit occurs at x milion of phones Round to three decimal places. At 0 wws ahin B is 6E omllee ..

Answer 1

10 Hht&tal metad Attend wee Reveuue Pnce X of tick ut 133000 9500 14 365oo lo, Soo 3 138 o00 13,500 12 137500 7 125 00 11 he Auswur is 12, as after that tue hevuue is dercasin heket pce Area ofSguare oi Side aud S sides (Since 5 x2 2 its ope top bor) Arca of sheet 12in 12iu 144 in of Tomasimuu volme s,uane ,ohole sheet must be LLare uscd Arca offhet Area of sane CS Scanned with CamScanner

5x2144 28.9 5.37 inch Sicle of Sne 5.367in ch 3 Volune $2uoreX (s. 34) 154. SS7ucl 3 Avswer 154. ss in 3 Revenur Cost C IS2 Pro fotRevcuue -Cost Ptx) んしz)- こly) Plx) 9x-x t6x-15x Pla) -Y dfauwtiating Pl) 12 x - 3 Cs Scanned with CamScanner

+6-0 (3x- 2 -1 + メて (4+2) 3 bbac 2a 416-42) JI6-4) 21) 20) 4+ J6 4 6-8 2 2. 3.4142 -e5958 o.595S Conpiny On 3.4142 x -3 o d ) = 12 -O roft d')o value ofz mayimisc hng (Ath x 3.41.42 Cs Scanne CamScanner

12 x 12-6(342) - 8.4952 0.S85 2 /2-6x12-6l0559) 8.4852 Occur Heucc Mayimuu at 3.4142 CS Scanned with CamScanner