Answer Happy

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LINEAR PROGRAMMING Q3 (b) TBK is the water supply agency for Johor providing water supply from river and groundwater sources extracted from two catchments (CI and C2). Table Q3 provides the basic data of the problem: Table Q3: Basic data of river water and groundwater of Catchment 1 and Catchment Maximum daily 2 Million litre(L) of water supply per million litre (1) of availability River Water (Mil/l) 6 Catchment 1 (C1) Catchment 2 (C2) Profit per mil L (RM1000) 1 5 Groundwater 4 2 4 24 6 To remain sustainable, the daily extraction for groundwater cannot exceed that of the river water by more than 1 million litres. In addition, the maximum daily demand of groundwater resources is 2 million litres. TBK wants to determine the optimum combination of river water and groundwater extraction that maximizes the total daily profit. (i) Determine the LP model equation of: Decision variables, Objectives and constrains. (ii) Determine the solution space that defines all feasible solutions of the model (iii)Determine the optimum solution from among all the feasible points.