The Crumb and Custard

Bakery makes coffee cakes and traditional pastries in large pans. The main

ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of

sugar available, and the demand for coffee cakes is 5. Five pounds of flour and

2 pounds of sugar are required to make a pan of coffee cakes, and 5 pounds of

flour and 4 pounds of sugar are required to make a pan of traditional pastries.

A pan of coffee cakes has a profit of $2, and a pan of traditional pastries has

a profit of $5. Determine the number of pans of cakes and traditional pastries

to produce each day so that profit will be maximized.