Henry, you will find a variety of rates from programmers willing to do the work anywhere from a revenue share, to an hourly rate to a flat rate.
You might want to post this in the Marketplace forum, provide an email address so potential programmers could contact you about the work.
If you wanted to do it yourself, you would need to pay a $99 fee to Apple (annually!) and buy at a minimum the Indie version of Corona SDK for $199 a year. If you want to do Android, including the Nook and Kindle Fire, that fee because $349 a year. If you just want to do Android, the Indie fee for Corona SDK is also $199 a year, but you do not get the Nook and Kindle Fire. For Android only, you do not have to pay Apple
You also have to have both an iOS device and an Android device to test on. I’m assuming you already have a device for the platform you’re thinking about, so you also need a device on the other platform which will increase your cost to do it yourself.
Then you have your learning curve to over come, and it’s not just the Corona SDK bits, but the Apple Developer, Provisioning and iTunes connect bits, and their equivalents for the Android marketplaces.
20 days is a very short time to build a polished and tested game for deployment for someone with lots of experience. You’re first game is going to take way longer than 20 days. Any reasonable programmer is going to recognize this and should charge you an accordingly.
I’ve done a game in 15 days from concept to submission to the Apple iTunes store (which you have to plan for a 7 day review period before it goes live!, I’m not sure how long Kindle Fire and Nook review times are or any review time for the Android marketplaces). But that 15 day game had a verison 1.1 update ready to submit the day it went live. It was a pretty simple game too. The point I’m trying to make is 20 days isn’t a lot of time, please set your expectations accordingly.
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