$.$ A pharmacy needs to decide on monthly procurement quantity of a critical yet a highly perishable drug that has a

shelf$-$life of just one month. The unit price of drug is Rs $7,000$ and its cost is Rs $6,000.$ As per the historical data, the

monthly demand for the drug is random with a certain distribution. The details are given below. Since the drug is an

emergency drug, the associated hospital offered to reimburse Rs$3,000$ for each unit of drug left unsold. At the same

time, the store would be penalized Rs $2,000$ per unit by the hospital for any unmet demand.