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(1) A company manufactures two types of vehicles. The demand for each type of vehicle in the next three months is provided in the following table. Month 1 2 3 Type 1 1100 1500 1200 Type 2 600 700 50 The demand for each type of vehicle must be met in the same month. Each type 1 vehicle costs 200000 to produce, and each type 2 vehicle costs 150000 to produce. Vehicles not sold in a given month can be held in inventory. To hold a vehicle in inventory from one month to the next costs 1500 per type 1 vehicle and 2000 per type two vehicle. During each month, at most 1500 vehicles can be produced. At the beginning of month 1, 200 type 1 and 100 type 2 vehicles are available. Formulate a LPP to minimize the company's costs during the next three months.

(1) A company manufactures two types of vehicles. The demand for each type of vehicle in the next three months is provided in the following table. Month 1 2 3 Type 1 1100 1500 1200 Type 2 600 700 50 The demand for each type of vehicle must be met in the same month. Each type 1 vehicle costs 200000 to produce, and each type 2 vehicle costs 150000 to produce. Vehicles not sold in a given month can be held in inventory. To hold a vehicle in inventory from one month to the next costs 1500 per type 1 vehicle and 2000 per type two vehicle. During each month, at most 1500 vehicles can be produced. At the beginning of month 1, 200 type 1 and 100 type 2 vehicles are available. Formulate a LPP to minimize the company's costs during the next three months.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1) A company manufactures two types of vehicles. The demand for each type of vehicle in the next three months is provided in the following table. Туре 1 1100 Туре 2 600 Month 1 2 1500 700 3 1200 50 The demand for each type of vehicle must be met in the same month. Each type 1 vehicle costs 200000 to produce, and each type 2 vehicle costs 150000 to produce. Vehicles not sold in a given month can be held in inventory. To hold a vehicle in inventory from one month to the next costs 1500 per type 1 vehicle and 2000 per type two vehicle. During each month, at most 1500 vehicles can be produced. At the beginning of month 1, 200 type 1 and 100 type 2 vehicles are available. Formulate a LPP to minimize the company's costs during the next three months.
Transcribed Image Text:(1) A company manufactures two types of vehicles. The demand for each type of vehicle in the next three months is provided in the following table. Туре 1 1100 Туре 2 600 Month 1 2 1500 700 3 1200 50 The demand for each type of vehicle must be met in the same month. Each type 1 vehicle costs 200000 to produce, and each type 2 vehicle costs 150000 to produce. Vehicles not sold in a given month can be held in inventory. To hold a vehicle in inventory from one month to the next costs 1500 per type 1 vehicle and 2000 per type two vehicle. During each month, at most 1500 vehicles can be produced. At the beginning of month 1, 200 type 1 and 100 type 2 vehicles are available. Formulate a LPP to minimize the company's costs during the next three months.
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