A company gives transportation service to tourist groups by renting busses as needed. Business arrangements made in advance indicate that number of busses needed for the next 4 months is estimated at 5, 20, 7, and 12, respectively. This company does not own any busses but rents the busses as needed. The company can rent a bus for one month at a price of $ 12, and for three months at a price of $ 21. The company currently has no busses. Let the decision variables are defined as written down below: Decision Variables
X1: Number of buses, rented for one month, starting from month 1
X2: Number of buses, rented for one month, starting from month 2
X3: Number of buses, rented for one month, starting from month 3 X4: Number of buses, rented for one month, starting from month 4 X5: Number of buses, rented for three months, starting from month 1
X6: Number of buses, rented for three months, starting from month 2 Please answer the following LP formulation questions. a) (5 pts.) If the decision variable values are as X1=2, X2=2, X3=4, X4=4, X5=2, and X6=3, calculate the objective function value.
b) (5 pts.) Which constraint has the correct form of "Month 2 Requirement"?
c) (5 pts.) Which constraint has the correct form of "Month 4 Requirement"?
d) (5 pts.) What is the objective function coefficient value of X5? e) (5 pts.) Is this a minimization or maximization problem? Instructions: Do not enter any comma ",", period".", or other symbol including "$", etc. in your answer.