The UDrive RentATruck company plans to spend 14 million on 2

The U-Drive Rent-A-Truck company plans to spend $14 million on 260 new vehicles. Each commercial van will cost $45,000, each small truck $70,000, and each large truck $60,000. Past experience shows that they need twice as many vans as small trucks. How many of each of each type of vehicle can they buy? (solve as matrix)

Solution

p = 45000x+70000y+60000z

Where,

45000x+70000y+60000z = 14000000

x+y+z=260

x=2y

We solve these 3 linear equations,

to get

x=160

y=80

z=20