Question

#Q .A reservoir is constructed on a river for supplying the power of a city located near the river and water demands of the city. The water that is released for power generation can also be used for supplying water to the city. The required in stream flow is estimated to be 1 million m3 each month. The total capacity of the reservoir is 10 million m3. Maximum monthly release from the reservoir is limited to 7 million m3. The table below shows the monthly inflows to the reservoir and benefits of power generation and water supply. The reservoir storage on January 1 is considered to be 5 million m3. Find the optimal releases using linear programming.

Monthly inflow to the reservoir and benefit from power and water supply is given on table below.

Month	Monthly	Power Benefit	Water Supply Ben.
	Inflow,Mm3	$10^3/Mm3	$10^3/Mm3
January	2	1.6	1
February	2	1.7	1.2
March	3	1.8	1.8
April	4	1.9	2
May	3	2	2.2
Jun	2	2	2.2
July	2	2	2.5
August	1	1.9	2.2
September	2	1.8	1.8
October	3	1.7	1.4
November	3	1.6	1.1
December	2	1.5	1

Answer 1