CVP Analysis Assumptions Violation

Steps:

• Identify key CVP assumptions: costs behave linearly, fixed costs remain constant, variable costs per unit are stable, and sales mix is constant.
• Evaluate each option for violating these assumptions.
• Determine which scenario disrupts the linear cost-volume relationship.
• Select the option that invalidates the core linearity premise.

Why A is correct:

• CVP relies on linear cost behavior (contribution margin formula: Profit = (Sales - Variable Costs) - Fixed Costs); a production method change alters cost structures, making relationships non-linear.

Why the others are wrong:

• B: Labor price increase shifts variable cost per unit upward but maintains linearity, allowing CVP adjustment.
• C: Falling output fits CVP's volume-profit analysis within relevant range.
• D: CVP is specifically designed for environments with both fixed and variable costs.

Final answer: A