mr omadoh sells sheep at the annual county auction. he wishes to use lpp to describe his problem and therefore consults the uon for assistance. sheep come in three sizes: large, medium and small. the large sheep(xl) costs sh.3500 and sells for sh.6000 each; the medium sheep (xm) costs sh.3000 and sells for sh.5000 each; the small one (xs) cost sh.1500 and sells for sh.2500 each. Omardoh must order atleast twenty of each type.he can spend nomre than sh. 0.3million on sheep invstment.his space limitation cant exceed 60 units of the large and medium sheep.he must obtain a gross revenue of atleast half a million from selling sheep.he further wants to maximise his profit subject to all the above constraints. i) formulate the appropriate LPP for omardoh ii)present the standard form of the LPP iii) would the profit be maximised if the objective function y= 50Xl+40Xm+20Xs was assumed for the same problem

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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mr omadoh sells sheep at the annual county auction. he wishes to use lpp to describe his problem and therefore consults the uon for assistance. sheep come in three sizes: large, medium and small. the large sheep(xl) costs sh.3500 and sells for sh.6000 each; the medium sheep (xm) costs sh.3000 and sells for sh.5000 each; the small one (xs) cost sh.1500 and sells for sh.2500 each. Omardoh must order atleast twenty of each type.he can spend nomre than sh. 0.3million on sheep invstment.his space limitation cant exceed 60 units of the large and medium sheep.he must obtain a gross revenue of atleast half a million from selling sheep.he further wants to maximise his profit subject to all the above constraints.
i) formulate the appropriate LPP for omardoh
ii)present the standard form of the LPP
iii) would the profit be maximised if the objective function y= 50Xl+40Xm+20Xs was assumed for the same problem

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