Please Complete Part A #$\text{'}$s $1-5$ Part $1$ You are a member of a project team assigned to develop the new razor scooter code named $$Red Zuma.$$ Table A$2\mathrm{.}5$ contains the information necessary to create a project schedule. For the purpose of this case assume the following: TABLE A$2\mathrm{.}5$ Red Zuma: Project Schedule ID Task Name Duration Predecessors Customize and control $11$ Red Zuma Project $260$ days $21\mathrm{.}1$ Market Analysis $25$ days $31\mathrm{.}2$ Product Design $30$ days $241\mathrm{.}3$ Manufacturing Study $20$ days $251\mathrm{.}4$ Product Design Selection $10$ days $3,461\mathrm{.}5$ Detailed Marketing Plan $15$ days $571\mathrm{.}6$ Manufacturing Process $30$ days $581\mathrm{.}7$ Detailed Product Design $45$ days $591\mathrm{.}8$ Build Prototypes $25$ days $8101\mathrm{.}9$ Lab Test Prototypes $10$ days $9111\mathrm{.}10$ Field Test Prototypes $15$ days $9121\mathrm{.}11$ Finalized Product Design $20$ days $7,10,11131\mathrm{.}12$ Final Manufacturing Process $10$ days $12141\mathrm{.}13$ Order Components $7$ days $12151\mathrm{.}14$ Order Production Equipment $14$ days $13161\mathrm{.}15$ Install Production Equipment $35$ days $14$FS$+20$ days, $15$FS$+30$ days $171\mathrm{.}16$ Celebrate $1$ days $6,16$TABLE A$2\mathrm{.}6$ Red Zuma Project Resources $ Number available Marketing specialist $$80,000/$yr $4$ Design engineer $$125,000/$yr $4$ Development engineer $$110,000/$yr $4$ Industrial engineer $$100,000/$yr $4$ Purchasing agent $$75,000/$yr $2$ Test rider $$70/$hr $4$TABLE A$2\mathrm{.}7$ Red Zuma Resource Assignments Task Name Resource Names Red Zuma Project Market Analysis Marketing Specialist $[400\%]$ Product Design Marketing Specialist, Design Engineer $[400\%],$ Development Engineer $[200\%],$ Industrial Engineer, Purchasing Agent Manufacturing Study Industrial Engineer $[400\%],$ Development Engineer $[200\%]$ Product Design Selection Marketing Specialist $[200\%],$ Design Engineer $[300\%],$ Development Engineer $[200\%],$ Industrial Engineer $[200\%],$ Purchasing Agent $[25\%]$ Detailed Marketing Plan Marketing Specialist $(400\%]$ Manufacturing Process Design Engineer, Development Engineer $[200\%],$ Industrial Engineer $[300\%]$ Detailed Product Design Marketing Specialist $[200\%],$ Design Engineer $[400\%],$ Development Engineer $[200\%],$ Industrial Engineer $[200\%],$ Purchasing Agent $[25\%]$ Build Prototypes Design Engineer $[200\%],$ Development Engineer $[200\%],$ Industrial Engineer $[400\%]$ Lab Test Prototypes Design Engineer $[200\%],$ Development Engineer $[200\%],$ Test Rider Field Tests Marketing Specialist, Design Engineer $(200\%],$ Development Engineer, Industrial Engineer, Test Rider $[300\%]$ Finalized Product Design Marketing Specialist $[200\%],$ Design Engineer $(300\%],$ Development Engineer $[300\%],$ Industrial Engineer $[200\%],$ Purchasing Agent $[25\%]$ Final Manufacturing Process Industrial Engineer $[300\%],$ Design Engineer, Purchasing Agent $[25\%]$ Order Components Purchasing Agent Order Production Equipment Purchasing Agent Install Production Equipment Design Engineer, Development Engineer $[300\%],$ Industrial Engineer $[400\%]$ Celebration Design Engineer $(400\%],$ Development Engineer $(400\%],$ Industrial Engineer $[400\%],$ Marketing Specialist $(400\%],$ Purchasing Agent $[200\%]$Note: Resource assignments without brackets are $100\%.$ Part A Prepare a memo that addresses the following questions: Page $6461.$ Which if any of the resources are overallocated? $2.$ Assume that the project is time constrained and try to resolve any overallocation problems by leveling within slack. What happens? $3.$ What is the impact of leveling within slack on the sensitivity of the network? Include a Gantt chart with the schedule table after leveling within slack. $4.$ Assume that the project is resource constrained and no additional personnel are available. How long will the project take given the resources assigned? $($Hint: Undo leveling performed in Part A before answering this question.$)$ Page $647$ Note: No splitting of activities is allowed. $5.$ How does the new duration compare with the estimated completion date generated from Part $1?$ What does this tell you about the impact resources can have on a schedule? Include a Gantt chart with a schedule table displaying free and total slack depicting the resource$-$ constrained schedule.