XYZ works at Jamba juice and is responsible for inventing new products (drink) some(prenominal) year and maximizing dough for which she is paid finish up. This year, 2007 summer, he/she is considering producing a teatimetime leaf cooler that would be a shading of eccentric cloth tea, a dark- reverse lightning tea and harvest-feast juice. To meet suggest specifications, the tea cooler must(prenominal) consist of at least(prenominal) 50% color tea, at least 20% and no more than 30% discolor tea, and exactly 20% harvest-festival juice. XYZ purchases the tea from local tea house and reaping juice from a processing be in Sacramento. For the current swap period, 10,000 congiuss of white tea and 8,000 gallons of green tea go off be purchased; an unlimited nitty-gritty of fruit juice enkindle be ordered. The cost for the tea argon $1.00 for the white and $1.50 per gallon for the green; the fruit juice quite a little be purchased for $0.50 per gallon. Jamba juice can sell the replete(p) tea cooler they can get word for $2.50 gallon. a) formulate a linear program to jog the blend of three ingredients that forget maximize the total return division? Solve, interpretLINEAR PROGRAMMING PROBLEMMaximize Z =1.5W+1G+2FS.T. 1) 0.5W-0.5G-0.5F>02) -0.2W+0.8G-0.2F>03) -0.3W+0.7G-0.3F 0 ( % white tea)-0.2 + 0.8 g ? 0.2f > 0 (% green minimum)-0.3w+ 0.7g- 0.
3f 0The take obtained using the management scientist to exculpate XYZ?s invention of tea cooler and maximization of mesh is shown in the above figure. The better solution calls for XYZ to purchase ten thousand gallons of white tea, 6000 gallons of green tea, and 4000 gallons of fruit juice to maximize the profit. The place of the optimal solution or the total profit plowshare Jamba juice will realize from this blend is 29000 dollars. The reduced costs for the finale variables W, G, AND F are zero because these decision variables already... If you requisite to number a rise essay, order it on our website: Ordercustompaper.com
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