Question

4. An Airbus A320 airplane holds 150 passengers and costs $101 million to purchase, a Boeing 737- 800 holds 162 passengers and costs $106 million to purchase. You are in charge of purchasing planes for an airline and you are given (and told to spend exactly) $7,316 million to purchase

Answer 1

Please upvote. Thank you.

Solution Let' number of Airbus A320_and'y?numbex of_Boeing 737-800~plomes are purchaseels then cost of a number of Airbus A320_= $101x million Cost of y number of boeing 737-800 = $1064 million total money available to buschase_plenesz_$7316 million 101X+1067=7316__ O___ Lcif. LAISO,_ Passengers in a number of Airbus A320 3_1502 Passengers in y number of Boeing 737-800 = 1624 total_seating_for_purchased planes = 10998 passengers LL-R. 150 + + 16 29 = 0 998 –2) _Rewriting_04@ T012+1064=7316 0 150 x + 162 y = 10998 - 3 we have to solve this system y simultaneous eme to get the values of xq y, there are many methools Coo_solue this system but here we use_elimination methool divide een @ by 6 and rewriting with en 1012+1067 = 7316 = 0 _25x277 = 1833 -@). -page Lola

e90X25 – eq@ x 10 || 75257x 7 26 504 = 102900 2525 x + 27274 = 185133 -2y = - 22 33 - Y=29] -Put y = 29 im ean ③ we get- 25+27(29) = 1833 3)25% + 783 = 1833 3)252 =1033-783 >> 25% = 1050 => x= 1050 > x= 42 25 Hence, _42_Planes of_Airbus A320_and_29 Planes of Boeing 737-800 should be purchased _Po-ge_2 2