Since 1979, low-income recipients have been given food stamps without charge. However, before 1979, people bought food stamps at a subsidized rate. For example, to get $1 worth of food stamps, a household paid about 3030cents¢ (the exact amount varied by household characteristics and other factors). What is the budget constraint facing an individual if that individual may buy up to $100100 per month in food stamps at 3030cents¢ per each $1 coupon? Compare this constraint to the original budget constraint with no assistance and the budget constraint if the individual receives $100100 of food stamps for free.