$[11\mathrm{.}4/20$ Points$]$

A linear programming computer package is needed.

pound for Brazilian Natural and $$0\mathrm{.}62$ per pound for Colombian Mild. The compositions of each coffee blend are as follows.

DeCaf, $CR=$ pounds of Colombian beans purchased to produce Regular, and $CD=$ pounds of Colombian beans purchased to produce DeCaf.$)$

Max

s$.$t$.$

Regular $\%$ constraint

DeCaf $\%$ constraint

Pounds of Regular

$BR+CR=1100$

Pounds of DeCaf

$($b$)$ What is the optimal solution?

$(BR,BD,CR,CD)=([0,0,4400,1000,],[,])$

$($c$)$ What is the contribution to profit $($in $ $)?($Round your answer to two decimal places.$)$

$$4665\mathrm{.}00$