27 points) The Northwest Flower Company owns a greenhouse, which furnishes ros nd carnations to florists in Oregon, Washington, and Idaho. The greenhouse can gro any combination of the two flowers. They sell the flowers in "bunches" with 25 bloon Lo a bunch. They have 10000 square feet available for planting this year. Each bunc of roses takes about 4 square feet and each bunch of carnations about 5 square fee Special fertilizer is required for flowers: roses need 5 pounds and carnations 2 pound The availability of the fertilizer is limited to 5000 pounds. Sales commitments requin the company to grow at least 500 bunches of roses. Profit contributions are $6 per bund of roses and $8 per bunch of carnations. LP Problem is given by Xi : the number of rose bunches planted. - X2: the number of carnation bunches planted. max 6X1 +8X2 4X1 + 5X, 500 (1) (11 points) Plot the feasible region on desmos. Download the image and the embed the image in word document. (2) (10 points) What are the corner points of the feasible region. (3) (6 points) What is the optimal solution and the optimal value of objective function