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HasLIVESUVUMFor sixty years she had prayed against remembering himand against losing her soul in the deep pit of hell, and nowthe two things were mingled in one and the thought of himwas a smoky cloud from hell that moved and crept in herhead. Wounded vanity, Ellen, ... Don't let your woundedvanity get the upper hand of you. Plenty of girls get jilted.- "The Jilting of Granny Weatherall" by Katherine AnnePorterBut though I have wept and fasted, wept and prayed,Though I have seen my head (grown slightly bald) broughtin upon a platter,Tam no prophet - and here's no great matter;T have seen the moment of my greatness flicker,And I have seen the eternal Footman hold my coat, andsnicker,And in short, I was afraid.- "The Love Song of J. Alfred Prufrock," by T. S. Eliot.Which best states the theme that is developed in both excerpts?
The Weigelt Corporation has three branch plants with excess production capacity. Fortunately, the corporation has a new product ready to begin production, and all three plants have this capability, so some of the excess capacity can be used in this way. This product can be made in 3 sizes (large, medium, and small) that yield a net unit profit of $420, $360, and $300, respectively. Plants 1, 2, and 3 have the excess capacity to produce 750, 900, and 450 units per day of this product, regardless of the size or combination of sizes involved. The amount of available in-process storage space also imposes a limitation on the production rates of the new product. Plants 1, 2, and 3 have 13,000, 12,000, and 5,000 square feet of inprocess storage available for a days production of this product. Each unit of the large, medium, and small sizes produced per day requires 20, 15, and 12 square feet, respectively. Sales forecasts indicate that if available, 900, 1200, and 750 units of the large, medium, and small sizes would be sold per day. At each plant, some employees will need to be laid off unless most of the plants excess production capacity can be used to produce the new product. To avoid layoffs if possible, management has decided that the plants should use the same percentage of their excess capacity to produce the new product. Management wishes to know how much of each size should be produced by each plant to maximize profit.Required:1. Formulate and solve a linear programming model for this mixed problem on a spreadsheet.2. Express the model in algebraic form.