1. Katherine is a forecast manager. She used exponential smoothing to forecast her sales with alpha equals 0.25. Her forecast for this week was 161 but the actual number is 232. What is her forecast for next week?2. Blue Pad Companyâs lead time L is1week and demand rate is119units per week.Holding cost is $29 per unit and ordering cost is $281. Assume 52 weeks in a year.What is the EOQ? Keep two decimal points!3.Blue Pad Companyâs lead time L is3week and demand rate is123units per week.Holding cost is $70 per unit and ordering cost is $726. Assume 52 weeks in a year.What is the ROP?4. Lugini Watchâs annual demand is 107. It can produce at a rate of 19 watches per month with a $249 setup cost for the production run. Find the order quantity (EPQ) assuming carrying cost is $57 per unit a year. Keep two decimal points!5. Lugini Watchâs annual demand is 108. It can produce at a rate of 24 watches per month. Using the information of current setup cost for the production run and carrying cost per unit a year, the company’s EPQ (Q_opt) has been calculated as 64 units. Find the I_max. Please keeptwo decimal points!