# (Solved): need help with simplex table and pivots  Use the following information to answer Questions 1.7. ...

need help with simplex table and pivots

Use the following information to answer Questions 1.7. A farmer uses two types of fertilizers. A $$50 . \mathrm{lb}$$ bag of Fertilizer A contains $$10 \mathrm{lbs}$$, of nitrogen, $$2 \mathrm{lbs}$$. of phosphorus, and $$6 \mathrm{lbs}$$, of potassium. A $$50-\mathrm{lb}$$ bag of Fertilizer B contains $$5 \mathrm{lbs}$$, each of nitrogen. phosphorus, and potassium. The minimum requirements for a field are $$420 \mathrm{lbs}$$, of nitrogen, 240 Ibs, of phosphorus, and $$360 \mathrm{lbs}$$. of potassium. If a $$50-\mathrm{lb}$$ bag of Fertilizer $$A \operatorname{costs} \ 35$$ and a $$50-\mathrm{lb}$$ bag of Fertilizer B costs $$\ 25$$, find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. What is the cost? Also state the extra resources. Question 1 2 pts Define the variables. $$x=$$ Fertilizer $$A$$ $$y=$$ Fertilizer $$B$$ $$x=$$ pounds of Fertilizer $$A$$ used $$y=$$ pounds of Fertilizer B used Solve using the appropriate simplex method. Show work by switching to a maximum LP problem, creating the initial simplex tableau, circling the first pivot element, and giving the final simplex tableau. Write the constraints.

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