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A linear programming computer package is needed.

pays for the beans. The current market price is $$0\mathrm{.}47$ per pound for Brazillan Natural and $$0\mathrm{.}62$ per pound for Colomblan Mild. The compositions of each coffee blend are as follows.

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

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

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

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