Natalya Dunovich manages Organic Greenhouses.

They supply organically grown vegetables year-round to the local markets. Their greenhouses enclose 12 acres of growing space that they use to raise peppers and tomatoes.

They employ 30 people. Each acre of pepper plants requires 1.5 workers to tend and harvest the plants and each acre of tomatoes requires 3 workers. Peppers require a special watering system limiting production to 6 acres of peppers.

Organic Greenhouses earns a profit of $30,000 per acre of peppers and $40,000 per acre of tomatoes. Formulate a linear program to help Organic Greenhouses maximize their profit.

1. Decision variables:

2. Objective function:

3. Constraints: