Rework Exercise 111 if Guatemala Antigua retails for $12.49 per lb instead of $10.19 per lb. Does the answer seem reasonable?

Exercise 111

Three varieties of coffee—Arabian Mocha Sanani, Organic Shade Grown Mexico, and Guatemala Antigua— are combined and roasted, yielding a 50-lb batch of coffee beans. Twice as many pounds of Guatemala Antigua, which retails for $10.19 per lb, are needed as of Arabian Mocha Sanani, which retails for $15.99 per lb. Organic Shade Grown Mexico retails for $12.99 per lb. How many pounds, to the nearest hundredth, of each coffee should be used in a blend that sells for $12.37 per lb?