Please members of the house , I need solutions to these under-listed questions ;

QUESTION 1. Dorsey distributors has an annual demand for a metal detector of 1400 .The cost of a typical detector to Dorsey is $400 carrying cost is estimated to be 20 of the unit cost and the ordering cost is $ 25 per order. If Dorsey orders in quantities of 300 or more , it can get a 5 % discount on the cost of the detectors .Should Dorsey take the quantity discount?
Assume the demand is constant.

QUESTION 2. Okechukwu is considering the possibility of opening a small dress shop on Allen avenue , a few blocks from the popular Alade market.
He has located a good mall that attracts bankers and public servants. His options are to open a small shop , a medium-sited shop or no shop at all. The market for a dress shop can be good , average , or bad. The probabilities for these three possibilities are 0.2 for a good market ,0.5 for an average market.
The net profit or loss for the medium-sited and small shops for the various market condition are given the following table;

Alternative Good market Average market Bad market
Small shop 75,000 25,000 -40,000
Medium-sized shop 100,000 35,000 -60,000
No shop 0 0 0

QUESTION 3:
Given annual is 4000, set up cost is $ 100, item cost is $266.67, facility is open 5 days a week , 50 weeks per year , lead time is 9 days with a standard deviation of demand of 2 units per day , 95 % service level carrying cost of 30 % per year . Find order quantity and reorder point.


Tips : The first question is an Inventory control Model problem , second question is a Decision Model problem , while the last question is also an Inventory control Model problem .Your solution and steps should be clearly solved and stated out. Thanks for your help and contribution !!!