Formulate a linear programming problem that can be used to solve the following question.An individual needs a daily supplement of at least 750 units of vitamin C and 76 units of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Eachounce of food I contains 46 units of vitamin C and 4 units of vitamin E, while each ounce of food II contains 30 units of vitamin C and also 8 units of vitamin E. The totalsupplement of these two foods must be at most 27 ounces. Unfortunately, food I contains 35 units of cholesterol per ounce and food II contains 26 units of cholesterol perounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized.X = number of ounces of Food I vy = number of ounces of Food II vMaximizeX F =(objective function)Subject to(total ounces of food)(units of vitamin C)(units of vitamin E)X>х о, у>X 0 (nonnegativity constraint)

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Answered: Formulate a linear programming problem…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 5 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $45, and the profit for each chair is $20. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours availabl How many tables and chairs should Winston manufacture to maximize its profit? tables chairs What is the maximum profit? $
Solve the following linear programming problem. You are taking two dietary supplements daily: Supplement A and Supplement B. An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium. An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium. Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get. How many ounces of each supplement should you take daily to reach your goals? Ounces of Supplement A = Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B = Blank 2. Fill in the blank, read surrounding text. How many units of sodium will you get daily under these circumstances? Units of Sodium = Blank 3. Fill in the blank, read surrounding text.
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