Executives of a bread company decide to add a new line of whole wheat bread. Research indicates that consumers will buy about 500 loaves at $1.95 a loaf and 1,100 at $1.50 a loaf. The company can supply 450 loaves at $1.65 per loaf and 1,250 loaves at $1.94 per loaf. Furthermore, the baking staff reports that it costs $270 for 850 loaves and $565 for 2,200 loaves. Let the input be p, price per loaf, and the output be q, number of loaves.