Problem $9-13($Algorithmic$)$

Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the store's leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. The$$e coffees are blends of Brazilian Natural and Colombian Mild coffee beans, which are purchased from a distributor located in New York City. Because Romans purchases large quantities, the coffee beans may be purchased on an as$-$needed basis for a price $11\%$ higher than the market price the distributor pays for the beans. The current market price is $$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: