Develop a software that determines the optimal lot size $()$ and reorder point $()$ for a given data.

$1.$ The software should first request the costs $($unit cost$,$ ordering cost, penalty cost$)$ and interest

rate. Then, it should also determine the holding cost based on the unit cost and interested rate

provided.

$2.$ The software should request the lead time, lead time demand and lead time standard

deviation. Based on the lead time and lead time demand provided, the software should

determine the annual demand.

$3.$ The Z$-$Chart & Loss Function Table should be plugged into the software such that normal

distribution values and loss function values must be automatically looked up by the program

during the iteration.

$4.$ In the end, the software should find the following decision variables and performance

measures.

$$ Optimal lot size and reorder point

$$ The number of iterations the software run to obtain the optimal lot size and reorder point

$$ The safety stock

$$ Average annual holding, setup and penalty costs

$$ Average time between the placement of orders

$$ The proportion of order cycles in which no stock out occurs

$$ The proportion of demands that are not met