To find the monthly cost per minute, we can divide the total cost by the total number of minutes:
Monthly cost per minute = $71 / 1793 minutes
Using a calculator, we can evaluate this expression to get:
Monthly cost per minute = $0.0396
Rounding to the nearest tenth of a cent, we get:
Monthly cost per minute ≈ $0.04
Therefore, the monthly cost per minute for this cellular phone service is approximately 4 cents.