The distributor R.E.F. It imports items that are used in restaurants from its headquarters. The company R.E.F. acquires approximately $ 15,000,000 from Quequitos per year. The accounting has established the following General Accounts associated with the cost of ordering and Inventory Conservation, in the following table:

According to the Accounting department, for accounts that cannot be assigned directly to the Cost of Ordering or the Cost of Maintaining (Preserving), a 10% must be prorated to the accounts when they correspond to the Cost of Ordering and 25% to the accounts when correspond to the Cost of Preserving.
The cost of merchandise sold last year was $ 40,000,000 forty million and ending inventory was valued at $ 500,000 five hundred thousand dollars. In addition, the Bank lends a special interest of 5% per year for the purchase of raw materials. The purchasing department prepared 1,500 orders in the last year. The order arrives 7.02 days after the order is placed with a standard deviation in delivery date of 2 days. The company works 365 days a year. A year has 52 weeks.
The Sales Manager of the R.E.F. has evaluated that the demand with an expected value of $ 15,000,000 per year, presents a probabilistic behavior, to which they have estimated an annual standard deviation of the demand of $ 250,000. At present it is working with
a 15% probability of depleting your inventories per year.
a) Determine under an optimal policy, the total cost of a probabilistic inventory. If the company, under the deterministic perspective, exhausted its orders in 15 orders, with a total cost
of inventory for an amount of 15,040,771.75
b) What would be the policy that you would recommend, Deterministic or Probabilistic? Justify your answer with data, not subjective or evaluative criteria.
 

Accounting account Warehouse rental Wages Shopping wages Stationery Obsolete material Light, water, telephone Sending orders Accumulated amount 30,000.00 250,000.00 50,000.00 7,000.00 25,000.00 200,000.00 100,000.00 Pay taxes Office supplies 23,000.00 25,000.00