The break-even analysis

Perform the break-even analysis to determine how many seniors would need to have a full monthly membership and pay for breakfast and lunch for UMHCBS to cover its monthly expenses.

Sample Solution

       

Break-Even Analysis for UMHCBS

Understanding the Problem:

To perform a break-even analysis for UMHCBS, we need to determine the number of seniors who would need to have a full monthly membership and pay for breakfast and lunch to cover the center's monthly expenses.

Key Information Needed:

  1. Fixed Costs: These are costs that remain constant regardless of the number of seniors served. Examples include rent, utilities, staff salaries, and insurance.
  2. Variable Costs: These are costs that vary with the number of seniors served. Examples include food costs, cleaning supplies, and disposable items.
  3. Revenue per Senior: This is the amount of revenue generated by each senior member. It should include the monthly membership fee and the cost of meals (breakfast and lunch).

Break-Even Formula:

Break-Even Point = Fixed Costs / (Revenue per Senior - Variable Cost per Senior)

Steps:

  1. Gather Data: Collect data on the fixed costs, variable costs, and revenue per senior.
  2. Calculate Contribution Margin: Subtract the variable cost per senior from the revenue per senior.
  3. Apply the Formula: Use the break-even formula to calculate the number of seniors needed to cover the fixed costs.

Full Answer Section

       

Example:

Let's assume the following data:

  • Fixed Costs: $10,000 per month
  • Variable Cost per Senior: $5 per day (for breakfast and lunch)
  • Revenue per Senior: $100 per month (including membership fee and meals)

Calculation:

Contribution Margin = $100 - ($5 * 30 days) = $50 Break-Even Point = $10,000 / $50 = 200 seniors

Interpretation:

UMHCBS would need to have 200 seniors with full monthly memberships and paying for breakfast and lunch to cover its monthly expenses.

Additional Considerations:

  • Demand: Ensure that the demand for the center's services is sufficient to attract and retain at least 200 seniors.
  • Pricing: Consider adjusting the membership fees or meal prices if the break-even point is too high.
  • Efficiency: Explore ways to reduce costs or increase revenue to improve profitability.
  • Contingency Planning: Develop a plan to address potential fluctuations in costs or revenue.

By conducting a thorough break-even analysis, UMHCBS can make informed decisions about its pricing, operations, and financial sustainability.

     

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