A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 350 cases of merchandise. The low-capacity trucks cost $30,000 and hold 220 cases of merchandise. The company has budgeted $1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 18 high-capacity trucks. How many of each type of truck should the company purchase to maximize the number of cases shipped at one time?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 350 cases of merchandise. The low-capacity trucks cost $30,000 and hold 220 cases of merchandise. The company has budgeted $1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 18 high-capacity trucks. How many of each type of truck should the company purchase to maximize the number of cases shipped at one time? 

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