My camera just does not seem to hold a good battery charge. I use fully charged batteries and this also happens with Duarcell too. I am only using the camera in the "on" selection.

a good routine is to purchase a battery tester. hold the tester on and see if the output drops after a period of time.
Usually Batteries (when used) only uses a certain amount before they are charged..
When this happens The battery is only using the same cells within the battery & NOT using the full battery potential.
When this happens The battery life shortens & When charged The battery Will Indicate Fully charged But The Battery Life Is Reduced Because they Way it has been used & Charged. Always Use a Battery From fully Charged to Almost Flat Before Fully charging your battery. Also Don't be afraid of Over Charging your battery when it indicates Full. But not Too Much... Maybe an extra Hour or 2 tops.

your camera drill battery is not in good shape,it needs to be totally discharged and charged,if it still happens,it is at the end of its life and you need a new one

Make sure that the battery is fully charged and hols a good charge on it . This is very important as the fault relates to a poor charge or poor battery charge retaining. If you have confirmed that the battery does have a good charge present , the check the terminals for any crusting/erosion . If so use a good cleaner to wipe off the crusts and polish the terminals.
Now set the battery and try to put the camera to a manual mode- disabling the flash. If the camera works then the flash unit can be short and is draining the battery. If not the camera has some regulator in the circuit it can be short.

Battery may needs replacement.

Advice - It is good to recharge a battery when it is fully drained. And also charging should happen untill the battry is fully charged.

This method gives a battery a long life time.

Seems that the control board is faulty if you are quite sure that the batteries are fully charges and giving good contact.
Remove off battery for some time and reset the battery , hold down power and see if there is any signs of life.
If not the camera be referred to Kodak with a plea for consideration..you might get an advantage.

yeah if you have had it for that long the batteries might be dead even if the appear to be charged i would get new batteries or get a new camera get one cheap on eBay ! have a good day :)

This happened with my Canon Powershot A470. I sent it back to he manufacturer and they said I was using the wrong batteries. Even though the camera is supplied with two alkaline batteries, they recommend using AA NimH rechargable batteries.

Make sure the battery contacts are clean. The rechargable batteries looses their charge even when they are not in use. It is important to fully charge the first time the rechargable batteries.

If you are using a rechargeable battery, yes you should fully charge it before you use the camera for the first time. Rechargeable batteries are normally supplied without a charge from the factory, but not always. Fully charged batteries may be in storage for a long time before the camera is purchased and unlike modern dry cells, rechargables will not hold a charge for years.

Fully charge your battery, then run it until it has completely exhausted. If you plan to put the camera in storage at some point in the future, always recharge the battery every couple of months or so, to keep it in good condition.

Of course make sure the supplied battery is in fact rechargeable and not a lithium which should not be recharged.
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The only and the only solution is to get the replacement as this seems to be a defect in the camera and you should get it change immediately.