ABC Ltd$.$ produces two components $P1$ and $P2$ that are produced and sold on a weekly basis. The weekly production capacity is $25$ for $P1$ and $35$ for $P2.$ The company employs $60$ workers in all. P$1$ requires $2$ man$-$weeks of labour and P$2$ requires one man$-$ week of labour. P$1$ requires $4$ units of raw material per unit and $P2$ requires $3$ units of the same raw material per unit. Total raw material available is $45$ units. Profit margin on $P1$ is Rs$.60$ and profit margin on P$2$ is Rs$.40$ per unit. Formulate the problem as a LP problem.