Find the product of ( (4z² + 7z - 8) ) and ( (frac{1}{2}z + 3) ).

A) ( {1}/{2}z³ + z² - 8z - 24 )
B) ( -4z³ + z² + z - 24 )
C) ( -4z³ - z² + 8z + 24 )
D) ( 4z³ - z² - z + 24 )