Working with chemists at virginia tech and george


Working with chemists at Virginia Tech and George Washington Universities, landscape contractor Kenneth Golding blended his own fertilizer, called “Golding Grow.” It consist of four chemical compounds, C-30, C-92, D-21, and E-11. The cost per pound for each compound is indicted as follows: Chemical cost per pound C-30 0.12 C-92 0.09 D-21 0.11 E-11 0.04 The specifications for Golding – Grow are as follows: (1) E-11 most constitute 15% of the blend (2) C-92 and C-30 must together constitute 45% of the blend (3) D-21 and C-92 can together constitute no more than 30% of the blend (4) Golding Grow is packaged and sold in 50-pound bags (A) Formulate an LP problem to determine what blend of the four chemicals will allow Golding to minimize the cost of a 50-pound bag of the fertilizer. (B) Solve using a computer to find the best solution.

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