$8-11.$ Pay Range A: For a pay range midpoint equal to $$47,500,$ calculate the minimum and maximum pay values for a $15$ percent range spread.

Minimum$=47500/(1+(\mathrm{.}15/2))=$$$43,181\mathrm{.}82$ min pay

Maximum$=47500*(1+(\mathrm{.}15/2))=$$$51,818\mathrm{.}18$ max pay

$8-12.$ Pay Range B: For a pay range midpoint equal to $$53,750,$ calculate the minimum and maximum pay rates for a $25$ percent range spread.

$\mathrm{.}25*53750=13,437\mathrm{.}50$

$53750-13437\mathrm{.}50=$$$40,312\mathrm{.}50$ for min pay

$13,437\mathrm{.}50+53750=$$$67,187\mathrm{.}50$ for max pay

$8-13.$ What is the percentage overlap between pay range A and pay range B$?($It may be helpful to visualize the pay ranges for each. See Figure $8-5$ in your textbook for an example and the formula for calculating the percentage overlap.$)$