So I’m getting really bad at math in some ways I suppose, (took ethics instead of real math in college and its been like probably 25 years since I took such stuff in high school.)

A normal FHM lamp is 1,000 Watts at 120 Volts, has a color temperature of 3,200̊K, 27,300 Lumens and 400 hours of lamp life.

A Philips (Discontinued but advertised in 2003) #7786R lamp was 1,000 Watts at 100 Volts, has a color temperature of 3,200̊K, 27,000 Lumens and 300 hours of lamp life.

Given for every 1% change in voltage, if 120v is applied (well over the maximum 110% recommended safe operation specification for the lamp,) a lamp will have 3.1/2% more luminous output, 0.4% more color temperature, and 13% less lamp life for each percentage of voltage over its rating. Also given 0 for lamp life is zero - dead lamp, and the maximum color temperature of the lamp (short of extreme pressures of xenon in the lamp) is somewhere between 3,500̊K and 3,655̊K, this would also result in lamp failure.

What would be the specifications of this lamp at 120v, 110v and the specifications of the maximum voltage that could be applied to the lamp theoretically for at least a nominal 20 hours of use?

A normal FHM lamp is 1,000 Watts at 120 Volts, has a color temperature of 3,200̊K, 27,300 Lumens and 400 hours of lamp life.

A Philips (Discontinued but advertised in 2003) #7786R lamp was 1,000 Watts at 100 Volts, has a color temperature of 3,200̊K, 27,000 Lumens and 300 hours of lamp life.

Given for every 1% change in voltage, if 120v is applied (well over the maximum 110% recommended safe operation specification for the lamp,) a lamp will have 3.1/2% more luminous output, 0.4% more color temperature, and 13% less lamp life for each percentage of voltage over its rating. Also given 0 for lamp life is zero - dead lamp, and the maximum color temperature of the lamp (short of extreme pressures of xenon in the lamp) is somewhere between 3,500̊K and 3,655̊K, this would also result in lamp failure.

What would be the specifications of this lamp at 120v, 110v and the specifications of the maximum voltage that could be applied to the lamp theoretically for at least a nominal 20 hours of use?