Question: Please help me understand this practice problem. A school needs to buy busses to transport its students. Suppose the school has a budget of $200,

Please help me understand this practice problem.

A school needs to buy busses to transport its students. Suppose the school has a budget of $200, 000 to buy a set of busses and a monthly budget of $2, 000 to maintain these busses throughout the school year. The school can buy two types of busses: large busses and small busses. The price for a large bus is $40, 000 and large busses are $200/month to maintain. The price for a small bus is $10 000 and small busses are $300/month to maintain. Each large bus can transport 35 students. Each small bus can transport 20 students. The school has 10 drivers available so they cannot buy more than 10 busses in total.

The school wants to choose the number of busses of each type to buy so they can transport the largest possible number of students, given their budget and other constraints.

a) Write this linear program in standard maximization form. Remember to identify what each variable in the program represents. Give the corresponding matrices for its standard maximization form: c, x, A, b.

b) Use the Simplex Method to solve this linear program. For each tableau that is in RRREF, indicate the current solution and identify the restrictions and where the next pivot should go. What is the number of students this school will be able to transport by bus?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!