A manufacturer estimates that when q thousand units of a particular commodity are produced each month, the total cost will be C(q) = 0.4q² +39 +40 thousand shillings, and all the q units can be sold at a price of shillings p(q)-22.2-1.2q per unit. Determine the maximum profit the manufacturer can make.
a. Sh.12.300
b. Sh.18.500
c. Sh.19,000
d. Sh.17,600
e. Sh.19,500
f. Sh.22.500 27