How do I approach Analytics & Experimentation interview questions?

Analytics & Experimentation questions require understanding of core concepts and practice. PracHub provides solutions with explanations to help you master analytics & experimentation interviews.

What difficulty level is this interview question?

This is a medium difficulty Analytics & Experimentation question, commonly asked during Take-home Project rounds at OneMain Financial.

What role is this question designed for?

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

Determine Optimal Marketing Budget Allocation for Maximum Profit

Quick Overview

This question evaluates competency in marketing analytics and constrained profit optimization, assessing how a candidate interprets channel-level performance metrics to estimate revenue and net profit within an Analytics & Experimentation domain.

Budget Allocation Across Acquisition Channels

Context

You are given an Excel sheet with per-channel performance metrics for three acquisition channels: Phone Calls, Social Media Ads, and Email Blasts. For each channel, the sheet provides:

Click-through rate (CTR)
Conversion rate (CVR)
Revenue-per-cost (RPC), i.e., expected revenue generated per $1 of spend
An individual spend cap for that channel

If RPC is not directly provided, it can be derived from CTR, CVR, average revenue per conversion (R), and the channel's pricing model (e.g., CPM, CPC, cost per send). Assume linear returns up to each channel’s cap (no saturation within cap) and that all rates are stable over the budget range considered.

Tasks

Given a total budget B, compute the expected net profit for each channel if you allocate an amount s to that channel (you may consider the case where all of B is spent in a single channel, ignoring caps for this part).
Using the conversion rate for the Phone Calls channel, estimate:
- The average cost per inbound phone call
- The average profit per inbound phone call
Each channel has an individual spend cap. With a fixed overall budget B, determine the spending allocation across channels that maximizes total profit. Explain your reasoning.

Hints

First compute unit profit per $1 of spend for each channel: unit profit = revenue-per-cost − 1.
Then apply budget constraints and use a simple greedy/linear optimization to maximize profit under caps.

Quick Overview

Context

You are given an Excel sheet with per-channel performance metrics for three acquisition channels: Phone Calls, Social Media Ads, and Email Blasts. For each channel, the sheet provides:

Click-through rate (CTR)

Conversion rate (CVR)

Revenue-per-cost (RPC), i.e., expected revenue generated per $1 of spend

An individual spend cap for that channel

Tasks

Given a total budget B, compute the expected net profit for each channel if you allocate an amount s to that channel (you may consider the case where all of B is spent in a single channel, ignoring caps for this part).

Using the conversion rate for the Phone Calls channel, estimate:

The average cost per inbound phone call
The average profit per inbound phone call

Each channel has an individual spend cap. With a fixed overall budget B, determine the spending allocation across channels that maximizes total profit. Explain your reasoning.

Determine Optimal Marketing Budget Allocation for Maximum Profit

Quick Overview

Budget Allocation Across Acquisition Channels

Context

Tasks

Hints

Solution

Comments (0)

Determine Optimal Marketing Budget Allocation for Maximum Profit

Quick Overview

Budget Allocation Across Acquisition Channels

Context

Tasks

Hints

Solution

Comments (0)