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Quantifying the Impact of AI Call Handling

Published on January 31, 2025

Quantifying the Impact of AI Call Handling vs. Human Staff in Restaurants

Introduction

One of the biggest questions facing restaurants that consider using an AI solution (like Eva AI) to handle phone calls is: “What if customers dislike talking to a robot, and we lose orders?”  This fear is tied to the idea of “deterrence”—the possibility that some customers might not call if they know it’s an AI. On the other hand, restaurants with human staff can still miss calls when lines are busy or staff are unavailable, and human agents can make mistakes too.

In this post, we’ll combine definitions, formulas, and a numerical analysis  to see which factors matter most—and how AI can still come out ahead when carefully deployed. Finally, we’ll look at additional cost savings  that restaurant owners often overlook when thinking about a switch to AI.

1. Key Definitions & Parameters

To compare human-only call handling vs. AI-only call handling, we need a few assumptions:

  1. Monthly Call Volume (C) :
    The number of calls a restaurant receives per month.
  1. Average Ticket Size (AOV) :
    The average revenue per successful order placed over the phone.
  1. Human Scenario:
  1. AI Scenario:

2. Formulas

Scenario A: Human-Only

  1. Total Calls: C
  2. Answered Calls:

C × (1−bH)

where bH  is the no-answer/busy rate.

  1. Successful Calls:

 (C × (1−bH)) × (1−Human Error Rate)

  1. Revenue:

 RHuman = Successful Calls × AOV

Scenario B: AI-Only

  1. Effective Calls After Deterrence:

C × (1−d)

where d is the AI deterrence rate.

  1. Successful Calls:

(C × (1−d)) × (1−AI Error Rate)

  1. Revenue:

RAI=Successful Calls×AOV

3. Example Analysis with Actual Numbers

Below is a sample scenario that illustrates how to calculate monthly revenue for both human and AI handling.

Assumptions:

Parameter

Notation

Value

Monthly Call Volume

CCC

500 calls

Average Ticket Size

AOV

$20/order

Human: Missed Calls Rate

bH​

15%

Human: Error Rate

10%

AI: Deterrence Rate (d)

d

5% or 10%

AI: Error Rate

1% or 5%

3.1 Human-Only Scenario

  1. Monthly Calls: 500
  2. Answered Calls:
    500×(1−0.15)=425
  3. Successful Calls (90% success):
    425×0.90≈383
  4. Monthly Revenue:
    383×$20=$7,660

3.2 AI Scenarios

We test two deterrence rates (5%, 10%) and two AI error rates  (1%, 5%), for a total of four combinations.

  1. AI: 5% Deterrence, 5% Error
  1. AI: 5% Deterrence, 1% Error
  1. AI: 10% Deterrence, 5% Error
  1. AI: 10% Deterrence, 1% Error

3.3 Results Table

Scenario

Successful Calls

Monthly Revenue

Human (15% missed, 10% error)

~383

$7,660

AI (5% det., 5% err)

~451

$9,020

AI (5% det., 1% err)

~470

$9,400

AI (10% det., 5% err)

~428

$8,560

AI (10% det., 1% err)

~446

$8,920

4. Additional Operational Benefits & Cost Savings

Beyond direct revenue comparisons, AI-based call handling can deliver significant operational efficiency  and cost savings. Even if the revenue was exactly the same, these benefits often tilt the balance in favor of AI:

  1. No Staffing Constraints
  1. No Turnover or Retraining
  1. Scalability
  1. Language Flexibility
  1. Reduced Operational Errors
  1. Ongoing Improvements (Self-Learning)
  1. Quantifying Labor Savings

Even if these cost savings or operational benefits can’t be perfectly measured, they often outweigh the difference in potential lost calls due to deterrence. In many cases, the net effect on a restaurant’s bottom line is positive when adopting AI call handling.

5. Interpretation

  1. AI Often Outperforms Humans
  1. Fine-Tune Deterrence & Error Rate
  1. Real Data Is Critical

Conclusion

Although it’s natural to worry about “the call that never happens” (AI deterrence), human staff miss a significant number of calls too , leading to lost revenue. When you consider missed calls, error rates, and deterrence—plus the major savings  in labor, training, and consistent coverage—AI often comes out ahead in net value.

By using a simple but robust simulation , you can estimate whether AI is likely to help or hurt your bottom line. In many scenarios, especially with a well-trained solution like Eva AI , the combination of higher answered-call rates, fewer errors, lower labor costs , and 24/7 availability can significantly improve a restaurant’s revenue and operational stability.

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