Romans sells the Regular blend for $$3\mathrm{.}60$ per pound and the DeCaf blend for $$4\mathrm{.}40$ per pound. Romans

would like to place an order for the Brazilian and Colombian coffee beans that will enable the

production of $1000$ pounds of Romans Regular coffee and $500$ pounds of Romans DeCaf coffee. The

production cost is $$0\mathrm{.}80$ per pound for the Regular blend. Because of the extra steps required to

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.

Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural

and Colombian Mild that will maximize the total contribution to profit. What the optimal solution and

what is the contribution to profit?