4 (Chapter 3) Skycell, anajar European cell phone manufacturer, is naking production plans for the coning year. Skycell has worked with its austoners (the service providers) to come up with forecasts of northly requirements (inthousands of phones) as showninthe Table below such as chanandin Jan is 1,000,000 units. Table Monthly Denand for Cel Phones in Thousands Mirth January February March April May June July August September Qutober Novenbar December Denand 1,000 1, 100 1,000 1,200 1,500 1,600 1,600 900 1, 100 800 1,400 1,700 Manufacturing is prinarily an assembly operation and capacity is governed by the number of people on the production line The plant operates for 20 days a north eight hours eachday. One person can assemble a phone every 10nintes. Workers are paid 20 euros per hour and a 50 percent premiumfor overtine The plant amently employs 1,250 workers. Component costs for each cell phone total 20 euros. Giventhe rapid dedine in component and finished product prices, carrying inventay fromone month to the next incurs a cost of 3 euros par phone per north Skycell amently has a no-layoff policy in place. Ovatime is limitedto a maximumof 20hours per north par employee. Assume that Skycell has a startinginventay of 50,000 units and wants to end the year with the sane level of inventory. Assumingno backlogs, no subcontracting andno newhires. a Please construct an aggregate planning nodded. (Constructing an aggregate planning node means defining the decision variables and writing out the objective function