Your system is a 5-ton; hence it's nominal equiv is 60,000 BTU. Now it is "rated" for some value less than that, depending upon the indoor coil and air mover it's paired with. Most likely, it's true rating is somewhere around 56k to 58k BTU capacity.
A few pages back, my comment was "cool is cool". That is because temps are based on your system's ability to handle the heat load. Presuming your contractor did a manual J calculation, and he spec'd the right size unit, you should be fine. However, part of that calculation is based on what dT (temp delta) you input into the equation.
Let me give an examples for a 30 deg dT ...
If you assume a dT of 30 degF, then the system capacity will be able to handle anything less than the 30 degF and not run full time. However, if the OAT exceeds your desired IAT by more than 30 degF, your interior temp will rise. if it's 100 deg outside, and you want 75 deg inside, you're good because the dT is only 25 deg. But if it's 115 outside, then all it would be able to provide inside is 85 degF (115-30=85) !!!
Max system capacity is what holds the "cool" temp you want maintained IF AND ONLY IF you have enough capacity to overcome the worst case condition assumptions.
RH (relative humidity) is controlled by the factor of system ability to pull moisture out of the air; that's driven not only by coil size but also airflow, heat exchanger design, etc.
Being in LV, it's not like high humidity is a concern ... but "heat" (temp load) most certainly is.