Question

A plane delivers two types of cargo between two destinations. Each crate of cargo I is 5 cubic feet in volume and 83 pounds in weight, and earns $25 in revenue. Each crate of cargo II is 5 cubic feet in volume and 166 pounds in weight, and earns $35 in revenue. The plane has available at most 425 cubic feet and 8,300 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.

crates of cargo I
crates of cargo II
maximum revenue		$

Answer 1

Sahed's Let x orepresatsthe nunbersf crafes Grabes Let y oepresent sthe number per Nhe giver Condlition Volune in equalty Deig ht inequal ly Aleo, Aeast toicethe numlesr Crates ofI as T mus be efipreal Naw as SxSySH25 3x+1664 293000 and Cbuje biue purction: Croring Now Graph che Pove CGre C5667d833) (8s, o) 25 (66 67)+35 (@sss) J41675 t 991-5524083 Learitle sef is tour Belas we Points ares Fer, 6661, 28-33) (85,0)25(85 35(0) 5 For

Grates af (argo Crates af Cargo ) Max Pevenie 5667 57 98 3328 CAnsuen

50 (56.667, 28.333) 50 150 (85, 0) 5х + 5у < 425 2 X 83х + 166у < 83000 3 X X< 2у 4 X 5 У>0 С