4. A dispatch terminal of gasoline in preparing ifs production plan on Makea and Premuum gasolines. There is sufficient mupply available ta fiti a0,000 vehicles of Magna and 40,000 vehicles of Prenaium but there are only 45.000 vohiclos into which either of the itasolines can be put. Furtbermete. it takes 3 hours to prepare enough material to fill 1,000 vehicles of Magna, it takes 1 hour to prepare enough material to fill 1 .000 vwheles of Pisimam and there are 66 bours available for this operation. The profit is $8.00 per vehacle of Magna and $7.00 per vehicls of Premium. Formulate and atve this L.P problem. Likewise, formulate the earnesponding dual problem, specifying (cirorlyl), the meaning of the new variable(a), canstriaint(e) and the dual objective function