1A farm consists of 600 hectares of land of which 500 hectares will be planted with corn soybeans and wheat according to these conditions;
At least half of the planted hectares should be in corn
No more than 200 hectares should be soybeans
The ratio of corn to wheat planted should be 2:1
It costs 2000 birr a hectares to plant corn 1500 birr a hectare to plant soybeans and 1200 birr a hectares to plant wheat
Understanding represent hectares of land allocated to ….by
a) To make linear programming model for this problem
b) Convert it into standard format
c) Create the initial simplex tableau and show the living and entering variables by arrow.
2 answers
A fertilizer factory mixes three ingredients: L, M and T to produce 2000kg of special mixture to specific order. L costs birr 36/kg, M costs birr 40/kg and T costs birr 42/kg. No more than 600kg of ingredient can be used and at least 300kg of M and 400kg of Taro required. Determine the amount of each ingredient to be used in the mixture to minimize total cost. Interpret your solution
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