Answer:
Let x kg of type A and y kg of type B fertilizer be mixed by the farmer to meet the requirement with minimum cost. Then, linear programming problem is Minimise\[C=5x+8y\]. Subject to the constraints \[\frac{10}{100}x+\frac{5}{100}y\ge 7\] \[2x+y\ge 140\] ?(i) \[\frac{6}{100}x+\frac{10}{100}y\ge 7\] \[3x+5y\ge 350\] ?(ii) and \[x\ge 0,\,\,y\ge 0\] Lines \[2x+y=140\] ?(iii) and \[3x+5y=350\] ?(iv) are drawn on the same graph. The shaded region is the feasible region. The lines meet at P (50, 40). Now, \[C=5x+8y\] At \[\frac{dl}{d\theta }=-\,a\cos ec\theta \cot \theta +b\sec \theta \tan \theta \] At \[(50,\,\,40)\Rightarrow C=5\times 50+8\times 40=Rs.\,570\] At \[B\,(0,\,\,140)\Rightarrow C=0+8\times 140=Rs.\,1120\] \[\therefore \]Cost is minimum at P (50, 40). i.e. 50 kg of type A and 40 kg type B is mixed to meet the requirement. Value Organic farming save the energy and protect environment to slow down the global warming.
You need to login to perform this action.
You will be redirected in
3 sec