You are far away from me location & price wise, we charge $45.00-$50.00 for half acre + $5.00-$10.00 more for basic RoundUp app. If I was doing an acre it would probably be between $80.00-$100.00. I could care less what a competitor charges if he wants to do it for $50.00 an acre he can go for it. If they want it done properly by a company who hires good well trained employees who are educated and that require higher wages, etc, they will choose us.
Always make a game plan before you go into a sales call, you must be extremely confident. Do research on their problem, type of grass, etc. If you are prepared you will have a much higher success rate. Knowledge=power make the next guy look like he needs to read Landscaping for Dummies.
Don't base your cost on your bidding success, I would say as of now your costs are already extremely competitive. It is really dependent on your expenses and how much you want to profit as a business owner.