Read the problem below and then identify the type of inventory model that should be applied

The inventory at Geiger$$s Gadgets is reviewed continuously. They need an inventory policy to control replenishment of their popular Gidget Gadget. The store sells about $100$ Gidgets per week; weekly demand is approximately normally distributed with a variance of $50.$ The Gidgets cost $$50$ to Geiger$$s$,$ and they sell for $$150$ each. The fixed cost to order a batch is $$30,$ and the annual interest rate is $22\%.$ If a Gidget is not in stock when requested, the customer buys it later; the loss of goodwill is estimated about $$40$ per Gidget. The replenishment leadtime is $3$ weeks, and there are $52$ weeks in a year. How should they choose their inventory policy to satisfy $95\%$ of their demand?

Group of answer choices

$($Q$,$ R$)$ Model

$($Q$,$ R$)$ Model with Type $1$ Service

$($Q$,$ R$)$ Model with Type $2$ Service

NewsVendor Model