The courier delivery company is considering the purchase of vehicles to pick up and deliver parcels...

 

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The courier delivery company is considering the purchase of vehicles to pick up and deliver parcels from various branches. They are considering three types of vehicles. The cost of each of these are Rs.5 lakhs, Rs.10 lakhs and Rs. 8 lakhs per vehicle, respectively. Theses require a crew of 2, 4 and 4 persons per day considering multiple shifts. They expect these to run for 60, 100 and 80 km per day. They expect that the total distance to be covered by the vehicles per day would be 2000 km. Based on the fuel economy, the operating cost per day for these vehicles are Rs.200, Rs.350 and Rs.300 per day. They have a budget restriction of Rs.1.6 crore and have 80 people available as crew. Formulate it as a LPP to minimize the operating costs and also write its dual. The courier delivery company is considering the purchase of vehicles to pick up and deliver parcels from various branches. They are considering three types of vehicles. The cost of each of these are Rs.5 lakhs, Rs.10 lakhs and Rs. 8 lakhs per vehicle, respectively. Theses require a crew of 2, 4 and 4 persons per day considering multiple shifts. They expect these to run for 60, 100 and 80 km per day. They expect that the total distance to be covered by the vehicles per day would be 2000 km. Based on the fuel economy, the operating cost per day for these vehicles are Rs.200, Rs.350 and Rs.300 per day. They have a budget restriction of Rs.1.6 crore and have 80 people available as crew. Formulate it as a LPP to minimize the operating costs and also write its dual. The courier delivery company is considering the purchase of vehicles to pick up and deliver parcels from various branches. They are considering three types of vehicles. The cost of each of these are Rs.5 lakhs, Rs.10 lakhs and Rs. 8 lakhs per vehicle, respectively. Theses require a crew of 2, 4 and 4 persons per day considering multiple shifts. They expect these to run for 60, 100 and 80 km per day. They expect that the total distance to be covered by the vehicles per day would be 2000 km. Based on the fuel economy, the operating cost per day for these vehicles are Rs.200, Rs.350 and Rs.300 per day. They have a budget restriction of Rs.1.6 crore and have 80 people available as crew. Formulate it as a LPP to minimize the operating costs and also write its dual. The courier delivery company is considering the purchase of vehicles to pick up and deliver parcels from various branches. They are considering three types of vehicles. The cost of each of these are Rs.5 lakhs, Rs.10 lakhs and Rs. 8 lakhs per vehicle, respectively. Theses require a crew of 2, 4 and 4 persons per day considering multiple shifts. They expect these to run for 60, 100 and 80 km per day. They expect that the total distance to be covered by the vehicles per day would be 2000 km. Based on the fuel economy, the operating cost per day for these vehicles are Rs.200, Rs.350 and Rs.300 per day. They have a budget restriction of Rs.1.6 crore and have 80 people available as crew. Formulate it as a LPP to minimize the operating costs and also write its dual.

Answer rating: 100% (QA)

Decision variables Number of 1 st type vehicle x1 Number of 2 nd type vehicle x2 Number of 3 rd type vehicle x3 Objective function Minimise z 5x110x28... View the full answer