Hello, I'd like to rent this apartment but I don't think the price is worth it especially since I cannot have my dog 
While I cannot change the pets policy, I am willing to negotiate the price.
Is it possible to go as low as 1000/mo?
I am sorry, but that is too low. The apartment have modern furnishings, after all. I can do 1750/mo.
That's quite a bit over the list price, does this include any utilities?
It has shared and coined laundry machines. Air conditioning. Redone kitchen counter tops in 2014. Utilities, such as gas, internet, electric, must be covered by you.
What's the justification for renting at above the list price then? I currently rent a similar apartment down the street for $1250/mo and that includes a washer/dryer in the unit. 
The location of the apartment is a factor. Also, the landlord pays for water, garbage, sewage, and HOA fees. So I feel you still are getting a good deal. But I can go down to 1600/mo.
I have a great deal of experience with landscaping, is it possible to negotiate a deal where I maintain the property for a deduction in the monthly rent? I can assure you my work is excellent and I can refer you to previous clients
I am sorry, but I cannot accept that offer. 1600/mo is my final offer.