Let x represent the number of bags of brand A, y the number of bags of brand B.
The objective function is C=4x+5y (This represents the amount of nitrogen provided by a particular mix of fertilizers -- 4lbs from each A and 5 lbs from each B.)
The constraints are...
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Let x represent the number of bags of brand A, y the number of bags of brand B.
The objective function is C=4x+5y (This represents the amount of nitrogen provided by a particular mix of fertilizers -- 4lbs from each A and 5 lbs from each B.)
The constraints are :
`4x+4y>=600` or `x+y>=150`
`2x+y<=250`
and the natural constraints `x,y>=0` .
The constraints form a bounded feasible region so the objective function has both a maximum and a minimum.
The maximum/minimum must occur at the boundary points which are (0,150),(0,250) and (100,50)
C(0,150)=750
C(0,250)=1250
C(100,50)=650
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Under the given restraints the maximum nitrogen is 1250lbs from 250 bags of brand B.
The minimum nitrogen is 650lbs from 100 bags of A and 50 bags of B
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The graph of the feasible region: