Operation Research Problem: The Ohio water company is getting ready for the hotter months, which make it harder to obtain water. They have two water sources: some of it comes from their own aquifer, and the rest is purchased from out of state. The company needs a constant 10000 L of water per month, but their aquifer produces less each month. They have storage tanks that can hold up to 120,000 L, and currently, they hold 40,000 L. The table below provides information about the cost of buying water from out of state and the amount of water that can be safely extracted from the aquifer.

Month	1	2	3	4	5
Price of Water per L ($)	2	2.25	2.75	2.2	2.35
Aquifer Production( 1000 L)	60	50	40	30	20

Xt would be the amount of water which purchased in month t and St would be the water stored in month t for use in month t+1. The purpose is to minimize the cost of buying enough water to meet demand for each month. This question is supposed to be formulated as a LP.