Consider a process consisting of three resources. Assume there exists unlimited demand for the product, and that all activities are always performed in the following sequence.

Resource $1$ has a processing time of $7$ minutes per unit.

Resource $2$ has a processing time of $4$ minutes per unit.

Resource $3$ has a processing time of $6$ minutes per unit.

All three resources are staffed by one worker and each worker gets paid $$10$ per hour.

a$.$ What is the cost of direct labor?

Note: Do not round your intermediate calculations. Round your answer to $2$ decimal places.

Cost of direct labor

per unit

b$.$ What is the labor content?

Labor content

minutes per unit

c$.$ How much idle time does the worker at resource $3$ have per unit?

Idle time

minute

d$.$ What is the average labor utilization?