The Quality Control Inspector for a Tire Factory Is Testing $0.1 \%$

The quality control inspector for a tire factory is testing the rim diameter of various tires. A tire is rejected if its rim diameter varies too much from its expected measure. The diameter should not differ by more than 0.1 inch or by more than $0.1 \%$ of the expected diameter measure. Find the widest range of allowable values for the actual diameter if the expected diameter is 14.000 inches. Round to the nearest thousandth.

A) between 13.900 inches and 14.014 inches
B) between 13.986 inches and 14.100 inches
C) between 13.986 inches and 14.014 inches
D) between 13.900 inches and 14.000 inches
E) between 13.900 inches and 14.100 inches