The highlands craft store is a small craft operation that employs local artisans to produce clay bowls and mugs. the two primary resources used by the company are special pottery clay and skilled labor. given these limited resources, the company wants to know how many bowls and mugs to produce each day to maximize revenue. the two products have the following resource requirements for production and selling price per item produced: labor (hr./unit): bowl: 1, mug: 2 clay (lb./unit): bowl: 4 , mug: 3 revenue ($/unit): bowl: 40 , mug: 50 there are 40 hours of labor and 120 pounds of clay available each day. formulate this problem as a linear programming model (do not solve it, just write a mathematical representation of this problem).