A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840,respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work fromDept. II, and 2 hours of work from Dept. III.)Product AProduct BProduct CDept. IDept. IIDept. IIIProfit212121$96$64$80How many units of each product should the company produce in order to maximize its profit?unitsProduct AProduct BunitsProduct CunitsWhat is the largest profit the company can realize?Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)labor in Dept. Ilabor-hourslabor-hourslabor in Dept. IIlabor in Dept. IIIlabor-hours

Let the company produce x1 , x2 and x3 units of product A, B and C in order to maximize the…

Answered: A company manufactures Products A, B,…

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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QUESTION 12 A mining company owns 3 different mines (North, South, and West mines) that produce 3 different grades of iron (low-grade, medium-grade, and high-grade). The company requires at least 25 tons of low-grade iron, 18 tons of medium-grade iron, and 12 tons of high-grade iron in order to meet its supply requirements. The North Mine costs $10,000 per day of mining and in a day of mining it produces 4 tons of low-grade iron, 1 ton of medium-grade iron, and 1 ton of high-grade iron. The South Mine costs $15,000 per day of mining and in a day of mining it produces 1 ton of low-grade iron, 3 tons of medium grade iron, and 2 tons of high-grade iron. The West Mine costs $18,000 per day of mining and in a day of mining it produces 3 tons of low-grade iron, 3 tons of medium-grade iron, and no high-grade iron. Suppose x is the number of days that the North Mine is operational, y is the number of days that the South Mine is operational, and z is the number of days that the West Mine is…
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