In general, the steps to develop a new quality program should follow a logical sequence that begins with understanding the current state and needs, setting goals based on that understanding, planning how to achieve those goals, and then executing the plan. Therefore, a common approach would be:

Assess needs: Understand the current state, identify gaps, and determine the requirements for a quality program.

Develop goals: Set clear, measurable goals based on the assessment of needs.

Develop the plan: Create a detailed action plan outlining how to achieve the set goals.

Execute the plan: Implement the plan, monitor progress, and make adjustments as necessary.

Based on this sequence, the correct order would be C. 3, 1, 2, 4.

While I cannot provide direct references to the ASQ handbook, this approach aligns with general best practices in quality management.