Textbook Problem

Purchasing Trans Global Tractor Trailers has decided to spend up to $1,500,000 on a fleet of new trucks, and it is considering three model: the Gigahaul, which has a capacity of 6,000 cubic feet and is priced at $60,000; the Megahaul, with a capacity of 5,000 cubic feet, priced at $50,000: and the Picohaul, with a capacity of 2,000 cubic feet, priced at $40,000. The anticipated annual revenue are $500,000 for each new truck purchased (regardless of size). Trans Global would like a total capacity of up to 130,000 cubic feet and feel that it cannot provide drivers and maintenance for more than 30 trucks. How many of each should it purchase to maximize annual revenue? What is the largest possible revenue it can make?