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1. An agricultural chemical company wishes to produce a plant food that is created by blending
two existing foods with water. The resulting product thus contains x1% plant food 1, x2%
plant food 2 and the rest water. Plant food 1 contains 5g of nutrient A, 10g of nutrient B and
5g of nutrient C per 100g and costs \$2 per 100g. Plant food 2 contains 10g of nutrient A, 5g
of nutrient B and no nutrient C per 100g and also costs \$2 per 100g. The blended plant food
must contain at least 5g of nutrient A, at least 7g of nutrient B and at least 1g of nutrient C
per 100g. You may assume that water is free and contains no nutrients.
-----Using all the above information, formulate the problem of finding the cheapest acceptable plant food as a linear programming problem. (DON'T INCLUDE WATER)
----Draw the constraints for this problem and solve the problem graphically.
State the augmented problem and use the Simplex method to conrm your graphical answer.
----- Give the percentages of plant food 1, plant food 2 and water in your blended plant food and the cost for 1g.
----- If the rm can sell 200g packets of plant food for \$5 each, how many must they sell to make a prot of over \$100?

Help appreciated
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Updated: November 19, 2013
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