We will model the Biden administration's student debt forgiveness plan using actual numbers and making some simplifying assumptions. Around 18% of adults in the U.S. have student debt (so 82% do not receive a benefit). To simplify, assume that all adults with student debt will have $13,500 of their debt forgiven, on average. The estimated cost of the program (including administrative costs of managing the program) is $2,800 per person. There are no externalities to consider. Assume that everyone has the same utility function that depends on the net payoff of the plan (c): U(c)=c Now assume that the 82% of adults that do not have student debt have a utility function (i.e., payoff function) of the form: U=a2800, where a is an altruism parameter measured in $ and -2800 is the cost in taxes they pay. Adults with student debt have same utility function as before. What value does a have to take for the plan to be efficient