Enormous State University Business School is buying computers. The school has two models from which to choose, the pomegranate and the Izac. Each pomegranate comes with 400 GB of memory and 80TB of disk space; each Izac has 300 GB of memory and 100TB of disk space. For reason related to its accreditation the school would like to be able to say that it had a total of at least 41,000 GB of memory and at least 11,000TB of disk space. If the pomegranate and the Izac cost $4,000 each, how many of each should the school buy to keep the cost as low as possible?

Step 1 ：Define the problem as a linear programming problem with two variables: the number of Pomegranate computers (x) and the number of Izac computers (y).

Step 2 ：The objective function to minimize is \(4000x + 4000y\) (since each computer costs $4000).

Step 3 ：The constraints are: \(400x + 300y \geq 41000\) (for the memory) and \(80x + 100y \geq 11000\) (for the disk space).

Step 4 ：We also have the constraints \(x \geq 0\) and \(y \geq 0\) since we can't buy a negative number of computers.

Step 5 ：Solve the linear programming problem using a suitable method.

Step 6 ：The solution shows that the school should buy 50 Pomegranate computers and 70 Izac computers to minimize the cost while satisfying the memory and disk space requirements.

Step 7 ：Final Answer: The school should buy \(\boxed{50}\) Pomegranate computers and \(\boxed{70}\) Izac computers.