Question: Construct a mathematical model for the following problem. DO NOT SOLVE . A college wants to rent 60 moving trucks to help students move out

Construct a mathematical model for the following problem.DO NOT SOLVE.

A college wants to rent 60 moving trucks to help students move out of the dorms. The college wants to ensure that the trucks have a combined carrying capacity of 5800 cubic ft. There are three varieties of trucks the college is considering: Truck A which holds 100 cubic feet, Truck B which holds75 cubic feet,and Truck C which holds 110 cubic feet. Additionally, the college wants to spend exactly $20,500 and has struck a deal to rent Truck A for$250,Truck B for $300 and Truck C for $400.How many of each type of moving trucks should the college rent?

ONLY DEFINE VARIABLES AND SET UP EQUATIONS - DO NOT SOLVE

1. Define your variables.

2.write system of equations using these variables.

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