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B. RAKZ Cement Factory composed of five production lines which produces different types of cement products. The available production capacity in each of the production

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B. RAKZ Cement Factory composed of five production lines which produces different types of cement products. The available production capacity in each of the production lines and the required production time per unit for the six products on each of the production lines are given in the table below. Required production time per unit on each of the production lines Cement Type Products Production Production Line-B Production LineC Production Line-D Production Line E 0.5 450 560 Available Capacity (hours! kproduction line/week) The marketing department estimated that they can sell these cement products 1.2.3.4.5, and 6 by AED 850, 950, 775, 690, 750 and 900 per unit respectively, while the finance department estimated the production cost per unit of these products 1,2,3,4,5 and 6 as AED 700, 850, 650, 540, 620 and 800 respectively. As a Business Analyst, apply the Linear Programming technique to formulate a model for this problem in order to help the factory management to find the optimal production plan (products mix) that yield the maximum total profit. Discuss your model formulation

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