given the revenue and cost functions r = 32x - 0.8x² and c = 5x+12, where x is the dailyproduction, find the rate of change of profit with respect to time when 15 units are producedand the rate of change of production is 8 units per day per day.
a)$203.2 per day
b)$24 per day
c)$64 per day
d)$192 per day