Suppose there is a bill to increase the tax on cigarettes by $1 per pack coupled with an income tax cut of $500

Suppose there is a bill to increase the tax on cigarettes by $1 per pack coupled with an income tax cut of $500. Suppose a person smokes an average of 500 packs of cigarettes per year—and would thus face a tax increase of about $500 per year from the cigarette tax at the person's current level of consumption. The income tax measure would increase the person's after-tax income by $500.
Would the combined measures be likely to have any effect on the person's consumption of cigarettes? Why or why not?