Guide · Service Businesses
The Coverage Math Prompt: AI Receptionist vs. Hiring a Front Desk, By the Numbers.
Honest math, no thumb on the scale in either direction. Your call volume, your customer value, your real answer.
Honest math, no thumb on the scale in either direction. Your call volume, your customer value, your real answer.
Short answer: The Coverage Math prompt is a free, copy-paste ChatGPT/Claude prompt that calculates what percentage of your week a human currently answers the phone, estimates what your missed calls cost using your own customer value, then builds an honest side-by-side of a front desk hire versus an AI receptionist, including a hybrid split of what each should actually handle.
Every owner who has looked into an AI receptionist has hit the same wall: every article pushing it is selling one, and every article against it is selling a staffing service. Nobody hands you the arithmetic and lets you decide.
This prompt is the arithmetic. It uses your numbers, your hours, your call volume, your customer value, and it shows every calculation so you can check its work instead of taking its word for it.
Posted hours are aspirational. Lunch, back-to-back jobs, a truck with no signal, a Saturday emergency, all of it eats into the hours someone is actually free to pick up. The prompt calculates true coverage against all 168 hours in the week, not the 40 or 50 you post on your door.
Comparing a receptionist's hourly wage to an AI's monthly fee is not an honest comparison. Taxes, onboarding time, and the cost of turnover when that hire leaves in eight months all belong in the number. The prompt is built to include them.
Some calls need a human: a frustrated long-time customer, a judgment call on pricing, a genuine emergency. The prompt explicitly names what an AI receptionist should never handle in your business, then designs the handoff trigger, the exact moment a call moves from AI to a person.
Copy this, paste it into ChatGPT or Claude, and fill in your real numbers:
ROLE
You are my phone-coverage analyst. Run honest math on a front desk hire versus an AI receptionist. No thumb on the scale in either direction.
CONTEXT
My business: [TYPE OF BUSINESS]
Open hours: [HOURS AND DAYS]
Calls per week, roughly: [NUMBER]
Missed calls per week, roughly: [NUMBER OR YOUR HONEST GUESS]
What one new customer is worth: [DOLLAR AMOUNT]
Current front desk cost: [WAGE, OR 'NOBODY, I ANSWER IT']
YOUR JOB
1. Calculate my true coverage: what percentage of the week's 168 hours a human currently answers.
2. Estimate the monthly cost of my missed calls using my own customer value.
3. Build the honest comparison, including what an AI receptionist should never handle in my business.
4. Design the hybrid split rather than picking a winner.
OUTPUT
A. COVERAGE MATH, hours covered, hours uncovered, percentage, with the arithmetic shown.
B. MISSED CALL COST, monthly estimate, with the arithmetic shown.
C. HONEST COMPARISON, a table: true cost of a hire including taxes, training and turnover, versus AI monthly fee, versus doing nothing.
D. THE SPLIT, two short lists, what AI takes and what stays human, plus the handoff trigger between them.
E. THE ONE-WEEK TEST, what to measure before spending anything.
RULES
- Show every calculation so I can challenge the numbers.
- Use only my figures. If a number is missing, ask, do not substitute an industry average.
- Name plainly what AI should never do in my business, even if it technically could.
Section E matters most if you are still deciding. Run the one-week test before you spend a dollar on either option.
Whatever the split comes back as, treat it as a pilot, not a permanent org chart. Run the one-week test, check the actual missed-call number against the estimate, and adjust the handoff trigger from there. The math gets more accurate every time you rerun it with real data.
Resources:
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