CVP Analysis: Margin of Safety & Impact of Changes

General Announcements and Context

  • The instructor apologizes in advance for any non-coherent statements due to finishing exam grading and recording at 3 AM and starting work at 8:30 AM.

Target Profit Calculations (Review from Problem 3)

  • Concept: To achieve a target profit, a company needs an additional contribution margin beyond covering fixed expenses.

  • Formula Flexibility: The target profit formula can also be used for breakeven calculations, as profit at breakeven is zero.

  • Example (Target Profit of $1.85):

    • Required Contribution Margin = Fixed Expenses + Target Profit

    • ($925,000+$185,000=$1,110,000)(\$925,000 + \$185,000 = \$1,110,000)

    • Units to achieve target profit: ($1,110,000/$74 (Contribution Margin per unit)=15,000 units)(\$1,110,000 / \$74 \text{ (Contribution Margin per unit)} = 15,000\text{ units})

    • Target profit in Sales Dollars: (15,000 units×$200 (Sales Price per unit)=$3,000,000)(15,000\text{ units} \times \$200 \text{ (Sales Price per unit)} = \$3,000,000)

Margin of Safety (MOS)

  • Definition: Margin of Safety is a