5. Natalya Dunovich manages Organic Greenhouses. They supply organically grown v

Question

5. 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 peo- ple. 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 carns 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. a. Decision variables: b. Objective function: c. Constraints:

Explanation / Answer

a) decision variables

x - number of acre for growing peppers
y - number of acres for growing tomatoes

b)
Mximize Z = 30000 x + 40000y

c)
x+ y <= 12
x <= 6
1.5x + 3 y <= 30

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