Case Problem R$.$ C$.$ COLEMAN R$.$ C$.$ Coleman distributes a variety of food products that are sold through grocery store and supermarket outlets. The company receives orders directly from the individual outlets, with a typical order requesting the delivery of several cases of anywhere from $20$ to $50$ different products. Under the company's current warehouse operation, warehouse clerks dispatch order$-$picking personnel to fill each order and have the goods moved to the warchouse shipping area. Because of the high labor costs and relatively low productivity of hand order$-$picking, management has decided to automate the warehouse operation by installing a computer$-$controlled order$-$picking system, along with a conveyor system for moving goods from storage to the warehouse shipping area Immediate Activity Description Predecessor A Determine equipment needs B Obtain vendor proposals $$ Select vendor AB D Order system E Design new warehouse layout F Design Warehouse G Design computer interface H Interface computer D$,$F$,$G $1$ Install system DF J Train system operators H K Test system $1,$J $11900$ Optimistic Activity A B $$ D E $6287$ Time $($weeks$)$ Most Probable Pessimistic $88166241386208144$ H $146$ J K R$.$C$.$ Coleman's director of material management has been named the project man$-$ager in charge of the automated warehouse system. After consulting with members of the engineering staff and warchouse management personnel, the director compiled a list of activities associated with the project. The optimistic, most probable, and pessimistic times $($in weeks$)$ have also been provided for each activity Managerial Report Develop a report that presents the activity schedule and expected project completion time for the warehouse expansion project. Include a project network and a critical path in the report. In addition, take into consideration the following issue: $1.$ R$.$C$.$ Coleman's top management established a required $40-$weck completion time for the project. Can this completion time be achieved considering real project completion time? $1$