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A farming company owns two farms, which differ in the growing of crops and their yields. Each farm has 2 5 hectares available for cropping,
A farming company owns two farms, which differ in the growing of crops and their yields. Each farm has hectares available for cropping, and to fill preexisting contracts, a total of at least bushels of wheat and bushels of corn must be grown.
The Warialda farm yields bushels of wheat per hectare at a net cost of $ per hectare, and bushels of corn per hectare at a net cost of $ per hectare. The Warialda farm, which is less productive but has lower haulage expenses, yields bushels of wheat per hectare at a net cost of $ per hectare, and bushels of corn per hectare at a net cost of $ per hectare.
a Write down the problem as a linear programming problem
b Use the simplex algorithm to find a feasible solution to the problem not necessarily optimal You may use a calculator or computer programming language to perform the row reduction at each step, but you must explain your working eg your row reductions, which variables you bring in and out of the basis and why
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