they would tender at different prices. The information they collected appears in the following table: $.$

a$.$ What is the average price that the company will pay to buy back shares?

b$.$ Is the offer oversubscribed or undersubscribed?

c$.$ What percentage of the shares offered by stockholders that will be repurchased?

a$.$ The average price that the company will pay to buy back shares is $$,($Round to the nearest cent.$)$

Data table

$($Click on the following icon in order to copy its contents into a spreadsheet.$)$

$\backslash$table$[[$Offer Price,Total Shares Tendered$],[$$$57\mathrm{.}00,205,000],[$$$57\mathrm{.}20,370,000],[$$$57\mathrm{.}40,510,000],[$$$57\mathrm{.}60,660,000],[$$$57\mathrm{.}80,785,000],[$$$58\mathrm{.}00,900,000]]$