The H.S. Daugherty Company has manufactured industrial vacuum cleaning systems for many years. Recently a member of the company's new product research team submitted a report suggesting that the company consider manufacturing a cordless vacuum cleaner, referred to as Porta-Vac. The Prta-Vac project network is shown as below. Please 1. construct a project network, 2. follow the PERTICPM scheduling process to find the total time to complete the project 3. indicate the earliest and latest start and finish dates for each activity in the project network, and 4. Figure out the slack of each activity 5. figure out the critical activities and show the critical parth Activity Activity Immediate Activity Description Predecessors Time (weeks) A Develop product design B Plan market research Prepare routing (Manufacturing engineering) Buld prototype model Prepare marketing brochure Prepare cost estimates Do preliminary product testing H Complete market survey Prepare pricing and forecast report Prepare final report F.G