Special purpose coins each weighing 10gms are to be manufactured using two basic metals `M_1`and `M_2`and a mix of other metals `M_3.M_1,M_2"and" M_3` cost₹500,₹800 and ₹800 and ₹50 per gram respectively. The strength of a coin demands that not more than 7 gm. of`M_1` and a minimum of 3 gm of `M_2`should be used. The amount of `M_3` in each coin is maintained at `25%` of that of `M_1`.Since the demand for that coin is related to its price,formulate the LPP to find the minimum cost of a coin.