The beaver creek pottery company is a small crafts operation run by a native american tribal council. the company employs skilled artisans to produce clay mugs and bowls with authentic native american designs and colors. the two primary resources used by the company are special pottery clay and skilled labor. producing a mug requires 1 hour of labor and 4 pounds of clay and yields a profit of $40. bowls, on the other hand, each require 2 hours of labor and 3 pounds of clay but produce a profit of $50 per unit. there are 40 hours of labor and 120 pounds of clay available each day for production. given these limited resources, the company desires to know how many mugs and bowls to produce each day in order to maximize its profit.