Question $1.$ Two brands of fertilizer available $-$ Super$-$gro, Cropquick.

Field requires at least $16$ pounds of nitrogen and $24$ pounds of phosphate.

Super$-$gro costs $$6$ per bag, Crop$-$quick $$3$ per bag.

Problem: How much of each brand to purchase to minimize total cost of fertilizer given following data?

$\backslash$table$[[$Brand$,\backslash$table$[[$Nitrogen$],[($lb$./$bag$)]],\backslash$table$[[$Phosphate$],[($lb$./$bag$)]]],[$Super$-$gro,$2,4]]$