The town hall of a city wants to open some recreational centers. It has been analyzed 3 options. The opening cost and the capacity of each center are listed below.

Option	Capacity	Cost
A	150	15000
B	250	50000
C	120	36000

The selected recreational centers must be hosting the students from 5 schools. In the table below is summarized the number of students at each school.

School	1	2	3	4	5
Students	50	80	40	60	40

Each school must be assigned to only one recreational center. And the capacity of each center must be respected. What are the recreational centers that must be open in order to minimize the opening cost?

question:

a.Formulated a mathematical programming model. (Linear Model is required)

b. Modify the previous model such that are considered the following constraints:

1. One school can be assigned to several recreation centers

2. It is decided to open at most two recreation-center

c. Design a greedy solution strategy for the problem described in 1