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A cargo-forwarding firm is planning a major fleet expansion and will purchase a maximum of 15 trucks. These vehicles are supposed to provide at least 36 tons of additional load capacity. One model holds 2 tons and costs P1.5M. A second model hold 3 tons and costs P2.4M. How many truck of each model should the firm purchase to provide the additional load capacity at minimal cost? What is the minimal cost?

A cargo-forwarding firm is planning a major fleet expansion and will purchase a maximum of 15 trucks. These vehicles are supposed to provide at least 36 tons of additional load capacity. One model holds 2 tons and costs P1.5M. A second model hold 3 tons and costs P2.4M. How many truck of each model should the firm purchase to provide the additional load capacity at minimal cost? What is the minimal cost?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A cargo-forwarding firm is planning a major fleet expansion and will purchase a maximum of 15 trucks. These vehicles are supposed to provide at least 36 tons of additional load capacity. One model holds 2 tons and costs P1.5M. A second model hold 3 tons and costs P2.4M. How many truck of each model should the firm purchase to provide the additional load capacity at minimal cost? What is the minimal cost?
Transcribed Image Text:A cargo-forwarding firm is planning a major fleet expansion and will purchase a maximum of 15 trucks. These vehicles are supposed to provide at least 36 tons of additional load capacity. One model holds 2 tons and costs P1.5M. A second model hold 3 tons and costs P2.4M. How many truck of each model should the firm purchase to provide the additional load capacity at minimal cost? What is the minimal cost?
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