FARO Technologies, whose products include portable $3$D measurement equipment, recently had $17$ million shares outstanding trading at $$35$ a share. Suppose the company announces its intention to raise $$200$ million by selling new shares.

a$.$ How large a loss in dollar terms will existing FARO shareholders experience on the announcement date, based on studies that show losses are $30\%$ of the size of the new issue?

Note: Enter your answer in millions without a sign.

Expected loss

million

b$.$ What percentage of the value of FARO's existing equity prior to the announcement is this expected loss?

Note: Round your answer to $1$ decimal place.

Percentage of the value

$6$

c$.$ At what price should FARO expect its existing shares to sell immediately after the announcement?

Note: Do not round intermediate calculation and round your answer to $2$ decimal places.

Expected price