One kind of cake requires 200 g of flour and 25 g of fat and another kind of cake requires 100 g of flour and 50 g of fat. The maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes, formulate the problem as LPP.

Answer

`(##ARH_CHSE_ODI_13Y_SP_MAT_XII_VST_07_E01_012_A01##)`
`z=x+y` … (i)
`iff2x+yle50` …(ii)
`iffx+2yle40` …(iii)
and `x,yge0` …(iv)