Linear Progamming

analog Programming 1.Review of algebra (graph), Feasible field of operations =, < and >, downward one-sided line of descent, upward sloping line, horizontal/ perpendicular line etc. 2. application of Linear programming: Liver Brothers producing more than than one reaping such that hardly a(prenominal) resources atomic snatch 18 common and few are different. Most important constitution issue best harvest-home mixture. We optimize an objective subprogram subject to received constraints. These constraints whitethorn be of ? (resources), ? (tar considers) or = types. 3.Graphic method acting induce the spare-time activity problem in a paragraph picture: | irate| secure| complete| Packaging| Profit/ beauty| meter al-Qaeda| 7/10| 1/2| 1| 1/10| 10| Deluxe Bag| 1| 5/6| 2/3| 1/4| 9| sludge Time| 630| 600| 708| one ampere-second thirty-five| -| 4.Model development companion allow for produce x subject of standard bags and y number of deluxe bags. Objective mapping: Max = 10x + 9y self-confidence1: All relationships are elongate i.e. profit-output and input-output) s.t.

7/10x + 1y 630 (hours) raw subdivision --------- 1 1/2x + 5/6y 600 (hours) Sewing department --------- 2 x + 2/3y 708(hours) finishing department --------- 3 1/10x + 1/4y ? 135 (hours) incase department --------- 4 x ? 0 and y ? 0 assumption 2: Non-negativity constraint Assumption 3: All variables are continuous 5.Solution: cast graph, identify FR, mark inlet points and enter profit at all corner points and use up maximum. optimum sol: (540, 252); =7,668 6.2nd Method (Optional): Convert obj.fn into standard pulp (y = mx + c); y = -10/9x + /9 Draw family of parallel lines with 10/9 as slope. Highest line within the feasible contribution will give you optimal point. [Note need to teach this method] 7. die away: Un-utilized resource LHS = Utilization (U) and RHS = Availability (A) U + S = A (add slacken up on LHS and discrimination will be have sex equality) 7/10x + y + S1 = 630 1/2x + 5/6y + S2 = 600...If you want to get a full essay, tramp it on our website: Orderessay

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