Answer:
Kindly check explanation
Step-by-step explanation:
Using table for our evaluation :
____________POLLUTANT
Factories___P1 ______P2 ____COST
__1_______0.1______ 0.45 ___ 1500
__2______ 0.2 _____ 0.25 ____1000
__3 ______0.40 ____ 0.30 ____2000
_________ ≥ 30 ____ ≥ 40 _____ z
Let amount of waste produced by Factories 1, 2 and 3 equal f1, f2 and f3 respectively.
Linear Program that will minimize the cost of reducing pollution by the desired amounts
Min cost:
min z = 1500f1 + 1000f2 + 2000f3
0.1f1 + 0.2f2 + 0.4f3 ≥ 30
0.45f1 + 0.25f2 + 0.3f3 ≥ 40
f1, f2, f3 ≥ 0