Global Bike wants to create a Sales Operations Plan (SOP) for product group PG-DXTR000 (Deluxe Touring Bicyles). Rough cut planning is carried out on a monthly basis, so each period t represents a calendar month. Each calendar day is a working day. The opening stock level is supposed to be Lo = 880 pieces. Task a) 1 point Global Bike applies planning strategy "Synchronous to Sales". For this, sales in period 1 has been determined to be S1 = 90 pieces, In all subsequent periods t > 1, sales quantities increase by 25 pieces per period, i.e. St = St-1 + 25. Calculate the stock level Lt at the end of period t= 13. Enter your result rounded down with a precision of 2 digits after the decimal point. Do not use any thousands separators. Enter allowed characters only: minus sign (-), digits 0 to 9 and the decimal point (.) Enter your results here: pieces Tasks b) 3 points Global Bike applies planning strategy "Stock Level = Zero". It is assumed that sales quantities are on a constant level of St = 30 pieces in all periods t > 0. In which period t will the planning target (Lt = 0 pieces) be reached for the first time? Enter your result as non-negative integer value. Do not use any thousands separators. Enter allowed characters only: digits 0 to 9 Enter your result here: Task c) 5 points Global Bike applies planning strategy "Target Stock Level". For this, sales in period 1 has been determined to be S1 = 110 pieces. In all subsequent periods t> 1, sales quantities increase by 15 pieces per period, i.e. St = St-1 + 15. The target stock level is supposed to be on a constant level of TLt = 120 pieces in all periods t > 0. Calculate the earliest period t in which at least one bike of product group PG-DXTR000 will be manufactured, i.e. P> 0. Enter your result as non-negative integer value. Do not use any thousands separators. Enter allowed characters only: digits 0 to 9 Enter your results here