Question
Johnson Outfitters manufacturers a variety of specialty clothing for hiking, skiing, and mountain climbing. The company has decided to begin production on two new parkas
Johnson Outfitters manufacturers a variety of specialty clothing for hiking, skiing, and mountain climbing. The company has decided to begin production on two new parkas designed for use in extremely cold weather: the Mount Everest Parka and the Rocky Mountain Parka. Company's manufacturing plant has 1,200 hours of cutting time and 1,300 hours of sewing time available for producing these parkas. Each Mount Everest Parka requires 30 minutes of cutting time and 45 minutes of sewing time. Each Rocky Mountain Parka requires 20 minutes of cutting time and 15 minutes of sewing time. The labor and material cost is $150 for each Mount Everest Parka and $60 for each Rocky Mount Parka, and the retail prices are $349 for Mount Everest Parka and $299 for the Rocky Mount Parka. Because management believes that the Mount Everest Parka is a unique coat that will enhance the image of the firm, management specified that at least 20% of the total production must consist of this model. Furthermore, the supply chain manager suggested that the number of Mount Everest Parka should be at least half of the number of Rocky Mount Parka. Assuming that Expedition Outfitters can sell as many coats of each type as it can produce, how many units of each model should it produce to maximize the total profit? (IF YOU GET YOUR ANSWER IN FRACTION, PLEASE KEEP IT IN FRACTION).
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