BestCoffee is a coffee store in Gainesville. Its fanyous for its special coffee blend in $60-$pound bags. The blend is a mix of two coffees, A and B$.$ To get the unique taste at least $40\%$ of the blend must be coffee $A.$ To maintain quality standards, BestCoffee needs to have an average aroma rating of at least $1\mathrm{.}65.$ Coffee A$,$ which costs BestCoffee $1\mathrm{.}80$$ per pound, has an aroma rating of $2.$ Coffee $B$ only has rating $1\mathrm{.}2,$ but is available at a cost of $$\mathrm{.}60$ per pound.

Determine the best mix of coffees A and B to achieve the above blending goals, while keeping the cost as low as possible?