Question

2. Priceler manufactures sedans and wagons. The number of vehicles that can be sold each of the next three months are listed to Table 1. Each sedan sells for $10000 and each wagon sells for $11000. It cost $7000 to produce a sedan and $8000 to produce a wagon. To hold a vehicle inventory for one month cost $160 per sedan and $210 per wagon. During each month, at most 1600 vehicles can be produced Production line restrictions dictate that during month 1, at least two thirds of all cars produced must be sedans. At the beginning of the first month, 400 sedans and 300 wagons are available. Formulate an LP that can be used to maximize Pricesler's profit during the next three months Sedans Wagons Month 1 1200 700 Month 2 1600 800 Month 3 1300 600 3. Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. Formulate an LP that will maximize Truckco's profit

Answer 1

2) Consider te , number of vehicla predJuce/ manufactured pl Priceleste axShaon hela.)-by each calde Se danWagons Month 200 わ0 onth 600 8oo Month 3 300 600 et Mogh sedan | Wagon | 70tal atb 2 ct C+d 3 e+l tunce the aumand or each mo as Shoor betoo Month Scdan ons 200 100 1 600 800 3 300 60dee6sm from ts fable form

400 Sedlant and 300 0qant ave availbb Sum d available numberof vehiclo ano he number vehicle manufacand Shoula nech demand d month l Hence r ed qe 400 ta)> 1200やaz goo for voagon MonH 2 Poy Sedan for (300 + d)즈 800 wagon : d25b0 Month 3 ーキー、