A manufacturer buys three products $($A$,$ B$,$ and C$)$ from $3$ separate suppliers. The annual demand of A$,$ B and C is $12,000$ units, $1,200$ units and $120$ units, respectively. If the cost of placing a purchase order is Rs $3,000,$ a$)$ what is the optimal order size, b$)$ cycle inventory, c$)$ annual holding costs. d$)$ annual ordering costs, and e$)$ average flow time? The purchase price of all three products is the same$-$ Rs $500/$unit$.$ Use annual holding cost as $10\%$ of product price. Present the final results in a table.