Retail Arturo Alvaré, a sales associate at a paint store, plans to mix as many gallons as possible of colors A and B. He has 32 units of blue dye and 54 units of red dye. Each gallon of color A requires 4 units of blue dye and 1 unit of red dye. Each gallon of color B requires 1 unit of blue dye and 6 units of red dye. Use linear programming to answer the following questions. (Lesson 2-7)
a. Let a be the number of gallons of color A and let b be the number of gallons of color B. Write the inequalities that describe this situation.
b. Find the maximum number of gallons possible