The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. Each commercial van will cost $25,000, each small truck $50,000, and each large truck $50,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? They can buy vans, small trucks, and large trucks.
The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. Each commercial van will cost $25,000, each small truck $50,000, and each large truck $50,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? They can buy vans, small trucks, and large trucks.
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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Transcribed Image Text:### Vehicle Purchase Planning Exercise
The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. The cost per vehicle is as follows:
- Each commercial van costs $25,000
- Each small truck costs $50,000
- Each large truck costs $50,000
From past experience, the company requires twice as many vans as small trucks. The question posed is: **How many of each type of vehicle can they buy?**
To solve this problem, consider the following:
- Set up equations based on the given costs and conditions.
- Calculate the number of each type of vehicle that maximizes the budget and meets all conditions.
Please provide your answers in the boxes for:
- Number of vans
- Number of small trucks
- Number of large trucks
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