Mamma Temte bakes six pies a day that cost $2 each to produce. On 15% of the days, she sells only two pies. On 27% of the days, she sells 4 pies, and on the remaining 58% of the days, she sells all six pies. If Mamma Temte sells her pies for $4 each, what is her expected profit for a day's worth of pies? ( Assume that any left over pies are given away).