A linear programming computer package is needed.

price is $$0\mathrm{.}47$ per pound for Brazilian Natural and $$0\mathrm{.}62$ per pound for Colombian Mild. The compositions of each coffee blend are as follows.

produce DeCaf, the production cost for the DeCaf blend is $$1\mathrm{.}05$ per pound. Packaging costs for both products are $$0\mathrm{.}25$ per pound.

Colombian beans purchased to produce DeCaf.$)$

Max$2\mathrm{.}033BR+2\mathrm{.}583BD+1\mathrm{.}868CR+2\mathrm{.}418CD$

s$.$t$.$

Regular $\%$ constraint $,0\mathrm{.}25BR-0\mathrm{.}75CR=0$

DeCaf $\%$ constraint $,0\mathrm{.}6BD-0\mathrm{.}4CD=0$

Pounds of Regular $,BR+CR=1000$

Pounds of DeCaf

$BD+CD=500$

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

$(BR,BD,CR,CD)=$

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