The Beaver Creek Pottery Company produces bowls and mugs. The profits of bowls and mugs are $40 and $50 respectively. A bowl requires 1 hour of labor; whereas, a mug requires 2 hours of labor. 40 hours of labor are available daily. Each bowl requires 4 pounds of clay and a mug requires 3 pounds. The daily limit of clay is 120 pounds.

The pottery company has several goals, and each one is equally important.

1. To avoid layoffs, the company does not want to use fewer than 40 hours of labor per day.

2. The company would like to achieve a profit level of at least $1600 per day.

3. Because the clay must be stored in a special place so that it does not dry out, the

company prefers not to keep more than 120 pounds on hand each day.

Formulate as a goal programming problem where the objective is to minimize the sum of the percentage deviations.