Carmen, the Queen of Electra, is concerned over what she believes is an excessive consumption of electricity.  Consequently, she proposes an excise tax on electricity consumption which, if implemented, would add $500 per year to the taxes of the average Electran household.  An advisor to the Queen warns of a consumer backlash and suggests the following amendment-give the $500 back in the form of a tax rebate.  The Queen thinks this is the dumbest idea she's ever heard.  She reasons that such a plan would do nothing to reduce electricity consumption since the plan would take away $500 with one hand, but give it back with the other!       

Do you agree with the Queen or not?  Fully explain your answer using standard indifference curve analysis.