The Northwest Flower Company owns a greenhouse, which furnishes roses and carnations to florists in Oregon, Washington,

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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. Formulate this
problem as an LP.
b. Graph this
problem.
c. What are the corner
points of the feasible region.
d. What is the optimal
solution?