Most landlords/agents look for housing costs to not exceed 25-33% of the gross pay (excluding people with large fixed expenses). So let's do some math:
$1,200*12=$14,400
$14,400/$41,000=35% a bit higher then the highest limit as a rule of thumb. If you were purchasing, the bank would look at a mortgage payment the same way. I know many people that put 50% of their gross to the rent and make it, but one bad ding (like unexpected bills) can make it impossible to pay the landlord.
Smaller landlords may not be as stringent with the percentages as compared to a larger landlord with rules that tend to carry across the board as any variation could result in a discrimination case.
I have a rent affordability calculator available at: https://www.bostonapartments.com/rentcalculator.htm