##### Scenario A restaurant’s profit model: fixed and variable costs versus revenue per customer; interviewer supplies concrete numbers. ##### Question Calculate break-even customer count and profit. Re-compute profit when (a) costs drop by a given amount, (b) revenue per customer drops by a given amount, and explain the business implications. ##### Hints Profit = revenue − cost; isolate variables to see sensitivity.

This question evaluates a candidate's competency in profitability modeling, contribution-margin and break-even analysis, and sensitivity analysis of revenue and cost drivers.

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This is a medium difficulty Analytics & Experimentation question, commonly asked during Technical Screen rounds at OneMain Financial.

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This question is commonly asked for Data Scientist candidates at OneMain Financial during technical interviews.

Calculate Break-Even Point and Profit Impact Analysis | OneMain Financial Interview Question

Break-even and Profit Sensitivity for a Restaurant

Context

A restaurant has fixed monthly costs (rent, salaries) and a variable cost per customer (food, payment processing). Each customer generates a certain average revenue. You are asked to compute break-even volume and analyze how profit changes when costs or revenue change.

Assume the following concrete numbers for this exercise:

Fixed costs F = $5,000 per month
Variable cost per customer v = $8
Revenue per customer p = $20
Monthly volume to evaluate profit n = 600 customers

Tasks

Write the profit function P(n) in terms of p, v, F, and n. Compute the break-even customer count n*.
Compute the baseline monthly profit at n = 600 customers.
Re-compute profit at n = 600 and the new break-even point in each scenario: a) Fixed costs drop by $600 (F decreases by$ 600). b) Variable cost per customer drops by $1 (v decreases by$ 1). c) Revenue per customer drops by $1.50 (p decreases by$ 1.50).
Briefly explain the business implications of (a), (b), and (c).

Hint: Profit = Revenue − Cost, and the contribution margin per customer is (p − v).

Context

Assume the following concrete numbers for this exercise:

Fixed costs F = $5,000 per month

Variable cost per customer v = $8

Revenue per customer p = $20

Monthly volume to evaluate profit n = 600 customers

Tasks

Write the profit function P(n) in terms of p, v, F, and n. Compute the break-even customer count n*.

Compute the baseline monthly profit at n = 600 customers.

Re-compute profit at n = 600 and the new break-even point in each scenario: a) Fixed costs drop by

600 (F decreases by

600). b) Variable cost per customer drops by

1 (v decreases by

1). c) Revenue per customer drops by

1.50 (p decreases by

1.50).

Briefly explain the business implications of (a), (b), and (c).

Hint: Profit = Revenue − Cost, and the contribution margin per customer is (p − v).

Calculate Break-Even Point and Profit Impact Analysis

Quick Overview

Break-even and Profit Sensitivity for a Restaurant

Context

Tasks

Solution

Comments (0)

Calculate Break-Even Point and Profit Impact Analysis

Quick Overview

Break-even and Profit Sensitivity for a Restaurant

Context

Tasks

Solution

Comments (0)