Acting as a quality engineer, you have been asked to make a control plan for a customer that requires the following specifications:

A. Inside diameter 1.673 +/- 0.001 inches

B. Outside diameter 3.562 +/- 0.005 inches

C. Thickness 0.875 +/- 0.0005 inches

Characteristic A is considered to be of significant importance, meaning that if not held to the specification tolerance, there is some risk that product failure will occur.

Characteristic B is also of significant importance.

Characteristic C is considered a critical characteristic, meaning that there will be a failure if not help to a specified tolerance.

You have examined the capability of the process and can conclude the following:

Characteristic A has a Cpk of 1.21

Characteristic B has a Cpk of 1.93

Characteristic C has a Cpk of 1.93

Based on this, Please answer the following questions in detail (Lengthy):

1. Describe your control plan and the logic for how you developed your ideas.
2. Additionally, details of how this plan should be communicated to the organization.
3. Discuss how an improvement team could be utilized and where they should start by formulating a clear statement of the problem, deciding who should collect the data, determining an appropriate sampling method, and what additional quantitative methods can be used to benchmark the current process and measure improvement after implementing continuous improvement actions.

Please do not repeat the question as an answer, and do not repeat the answers already done by some other experts. And also provide references to your work. Thank you.