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A farmer is going to divide her 60 acre farm between two crops.
Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre.
The farmer can spend at most $2500 on seed.
If crop B brings in a profit of $80 per acre, and crop A brings in a profit of $110 per acre,
how many acres of each crop should the farmer plant to maximize her profit?
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Seed for crop A ($25 per acre) are cheaper than seed for crop B ($50 per acre).
At the same time, profit of crop A ($110 per acre) is greater than profit
of crop B ($50 per acre).
The common sense says that the winning strategy is to use as many acres
for crop A as possible.
So, divide $2500 by $25 to estimate possible area for crop A
= 100 acres.
Thus, there are enough money for seed A for 60 acres.
So, the optimal strategy is to cultivate crop A only on all 60 acres.
It will give a profit of 60*110 = 6600 dollars.
Solved.