PLEASE JUST ANSWER PART B AND C$,$ THANK YOU VERY MUCH.

A linear programming computer package is needed.

than the market price the distributor pays for the beans. The current market 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.

$$0\mathrm{.}25$ per pound.

pounds of Brazilian beans purchased to produce DeCaf, $CR=$ pounds of Colombian beans purchased to produce Regular, and $CD=$ pounds of Colombian beans purchased to produce De

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

s$.$t$.$

Regular $\%$ constraint $,0\mathrm{.}75(BR+CR)=BR$

DeCaf $\%$ constraint $,0\mathrm{.}4(BD+CD)=BD$

Pounds of Regular $,BR+CR=800$

Pounds of DeCaf $,BD+CD=300$

$($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.$)$

$$2,423\mathrm{.}00$