You are the operations coordinator at a bustling design studio called 'Skyline Design Studios'. Today is the first day of your production schedule and you have six different design projects on your plate. Project Alpha has a processing time of $5$ days and is due in $10$ days. Project Beta has a processing time of $3$ days and is due in $8$ days. Project Gamma has a processing time of $7$ days and is due in $15$ days. Project Delta has a processing time of $2$ days and is due in $6$ days. Project Epsilon has a processing time of $6$ days and is due in $14$ days. Project Zeta has a processir time of $4$ days and is due in $9$ days. Your task is to sequence the projects based on the Earliest Due Date $($EDD$)$ rule and calculate the utilization metric.

a$.48\%$

b$.35\%$

c$.65\%$

d$.56\%$