Rienzi Farms Grows Sugar Cane and Soybeans on Its 500

question 70

Essay

Rienzi Farms grows sugar cane and soybeans on its 500 acres of land. An acre of soybeans brings a $1000 contribution to overhead and profit; an acre of sugar cane has a contribution of $2000. Because of a government program no more than 200 acres may be planted in soybeans. During the planting season 1200 hours of planting time will be available. Each acre of soybeans requires 2 hours, while each acre of sugar cane requires 5 hours. The company seeks maximum contribution (profit) from its planting decision.
a. Algebraically state the decision variables, objective and constraints.
b. Plot the constraints
c. Solve graphically, using the corner-point method.

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Definitions:

Task Identity

The degree to which a job requires completion of a whole and identifiable piece of work.

Job Enrichment

A method of motivating employees by enhancing the quality of their job roles with more challenging and meaningful tasks, leading to higher job satisfaction.

Empowered

Being given the authority, confidence, and resources to make decisions and take actions that affect one's work or environment.

Self-Determination

The ability or process of making one's own decisions without influence from outside forces.