A Roman statue sitting atop a column is proportioned such th…

A Roman statue sitting atop a column is proportioned such that the ratio of the height of the statue to the height of the column is the Golden Ratio, with the column being taller.  The height of the statue was calculated to be XIII cubits.  What is the height of the column?  Round to the nearest whole number, and give your answer in Roman numerals.

A company produces premium spinning tops with the supply fun…

A company produces premium spinning tops with the supply function P=5Q+30, where Q is the quantity of tops demanded, in thousands.  The market for spinning tops faces the demand function Q=10-0.2P. Find the quantity, Q, in thousands of tops demanded at the market equilibrium.