John,
That depends on the level of CYA (cyanuric acid) because that stabalizes the chlorine but also starts to 'inhibit' its power. As pointed out by anohter member you should be safe to go to 15ppm in a vinyl-lined pool with normal CYA levels of 30-50.

Ben's Best Guess CYA Chart
Stabilizer . . . . . . Min. FC . . . . Max FC . . . 'Shock' FC
=> 0 ppm . . . . . . . 1 ppm . . . . . 3 ppm . . . . 10 ppm
=> 10 - 20 ppm . . . . 2 ppm . . . . . 5 ppm . . . . 12 ppm
=> 30 - 50 ppm . . . . 3 ppm . . . . . 6 ppm . . . . 15 ppm
=> 60 - 90 ppm . . . . 5 ppm . . . . . 10 ppm . . .. 20 ppm
=> 100 - 200 ppm . . . 8 ppm . . . . . 15 ppm . . .. 25 ppm