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Answer:
each 200 acres.
Step-by-step explanation:
Here we are given 2000 profit for wheat per acre and 3000 profit per acre for corn.
Hence objective function to maximize is
Where W is wheat cultivated and C, corn cultivated
Constraints are workers and acres
Total workers required = 3W+2C and total fertilizers = 2w+4c
We solve and get corner points as
(W,C) = (333,0) (600,0) (0,500) (0,300)
Intersecting point is
by solving we get
2w = 400 or w =200 and c = 200
Thus feasible points are
(200,200) Or (333,0) or (0,300)
Z for I point = 1000000
Z for II point = 666000
Z for III point =900000
Maximum is when wheat and corn are 200 acres each planted.