I need some help with these questions please, and would you show how you got the answer to them so I can learn how to do what you did

Assignment 4 1 Two Scenarios on the (Q,R) Model Scenario 1: A local paint store is using an inventory system to control its stock levels. For a popular eggshell indoor paint, historical data shows the distribution of monthly demand is approximately normal, with a mean of 39 cans and variance of 156. Replenishment lead time for this paint is constant at 14 weeks. Each can of paint costs the store \$6. The fixed cost of replenishment is $45 per order and holding costs are based on a 20% annual interest rate. 1. What is the optimal lot size (order quantity)? 2. Now, we want to transform the demand of the paint into weeks (to accommodate for the lead-time units). We have the average annual demand (from the above problem) and the annual variance 2 (which is simply twelve times the monthly variance). Considering the normal 52 -week year, the weekly mean E[D] and the weekly standard deviation D is: E[D]=numberofweeksaverageannualdemandandD=numberofweeksannualvariance What is the distribution of the weekly demand D ? 3. Consider the store operating at a 97-percent service level (someone has determined this to be optimal). What is the reorder level (reorder point) and the order-up-to level that the store should use under the EOQ? 4. What is the average time (in weeks) in between placements of orders? You can round to the nearest whole number for simplicity. 5. What is the average inventory level over time