A grocery store calculated the average monthly demand for 5-kg rice bags as 750. It buys the bags from the distributor at a price of $20 per bar. It calculated that keeping a bag in stock costs around 60 cents monthly. There is a delivery fee of $100, irrespective of the number of bags ordered. The distributor offers a discounted price of $19 per bag if it orders 600 bags each time. (a) Solve to determine whether the store should take the offer. Show all the computations and present your results in a comparative table and include the following: (i) Lot size (ii) Average inventory (iii) Average number of orders per month (iv) Purchase cost (v) Carrying cost (vi) Ordering cost (vii) Total Cost (viii) Savings, if any (b) How does your decision change if the holding cost is charged at (X+15)% annually, where X is the last digit of your PI number? You should use the results obtained in part (a).