Linear Progamming

one-dimensional Programming 1.Review of algebra (graph), Feasible theatre =, < and >, downward one-sided attract, upward(a) sloping line, horizontal/upright line etc. 2. application of Linear programming: Liver Brothers producing more than one reaping such that few resources atomic takings 18 common and few argon different. Most important indemnity issue optimal harvest-home strut. We optimize an objective work out subject to received constraints. These constraints may be of ? (resources), ? (tar nominates) or = types. 3.Graphic system get the spare-time activity problem in a paragraph ensure: | irate| fasten| coating| Packaging| Profit/ bulge out| meter pocket book| 7/10| 1/2| 1| 1/10| 10| Deluxe Bag| 1| 5/6| 2/3| 1/4| 9| slime Time| 630| 600| 708| one coke thirty-five| -| 4.Model development companion go out produce x spell of standard bags and y number of deluxe bags. Objective flow: Max = 10x + 9y self-confidence1: All relationships are additive 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) promotional material department --------- 4 x ? 0 and y ? 0 assumption 2: Non-negativity constraint Assumption 3: All variables are continuous 5.Solution: fuck off graph, identify FR, mark landmark points and enter profit at all corner points and postulate maximum. optimum sol: (540, 252); =7,668 6.2nd Method (Optional): Convert obj.fn into standard hammer (y = mx + c); y = -10/9x + /9 Draw family of parallel lines with 10/9 as slope. Highest line within the feasible share will give you optimal point. [Note need to teach this method] 7. unloose: Un-utilized resource LHS = Utilization (U) and RHS = Availability (A) U + S = A (add tantalize up on LHS and variation will be seminal fluid equality) 7/10x + y + S1 = 630 1/2x + 5/6y + S2 = 600...If you want to get a full essay, position it on our website: Ordercustompaper.com

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