The Northwest Flower Company Owns a Greenhouse, Which Furnishes Roses

question 36

Essay

The Northwest Flower Company owns a greenhouse, which furnishes roses and carnations to florists in Oregon, Washington, and Idaho.The greenhouse can grow any combination of the two flowers.They sell the flowers in "bunches" with 25 blooms to a bunch.They have 10,000 square feet available for planting this year.Each bunch of roses takes about 4 square feet and each bunch of carnations about 5 square feet.Special fertilizer is required for flowers: roses need 5 pounds and carnations 2 pounds.The availability of the fertilizer is limited to 5000 pounds.Sales commitments require the company to grow at least 500 bunches of roses.Profit contributions are $6 per bunch of roses and $8 per bunch of carnations.
a.What is the objective function if the company wants to maximize its profits?
b.What is the constraint for the square footage assuming X1 corresponds to roses?
c.What is the optimal solution point for this problem?
d.What is the optimal value of the objective function?

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Definitions:

Reward Power

The influence and control gained by offering something desirable, motivating others to respond positively.

Expert Power

The influence and authority one gains from possessing specific knowledge or expertise in a particular area.

Countertransference

The emotional reactions and projections that a therapist may have towards a client, which can influence the therapeutic relationship.

Psychoanalytic Tradition

A branch of psychology originating from the work of Sigmund Freud, focused on the role of unconscious motivations and early developmental experiences in shaping personality and behavior.