A problem by catherine almira
A farmer intends to buy more ducks and chickens. He has to pay $4 for each duck and $3 for each chicken. He has to spend $1 on the feed for each duck and $2 for each chicken after which he will be able to sell the ducks and chickens at $6 each. He has only $36 with which to buy the poultry and $20 to buy feed. How much is the maximum profit?
The answer is 11.
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1 solution
It's the linear programming problem, can be solved by simplex-method. For n=2 we can solve graphically. x+y->max x+2y=20 4x+3y=36 -5x=-12 x=2.4 y=8.8 x=2 y=9 x=3 y=8