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$1.$ Before a potential merger, First Line Books had $225,000$ shares outstanding at a market price of $$43\mathrm{.}95$ per share. Specialty Thrillers has $25,600$ shares outstanding at $$64\mathrm{.}85$ per share. Assume First Line Books$$ has estimated the value of the synergistic benefits from acquiring Specialty Thrillers to be $$83,000.$ Neither firm has outstanding debt. First Line Books has offered $$66\mathrm{.}80$ per share to the target.$$

a$)$ What is the value of the target firm to the acquirer $($current market value $+$ synergy$)?($show answer to the nearest dollar$)$

b$)$ What is the NPV of the proposed acquisition? $($to the nearest dollar$)$

c$)$ If the deal goes through, what is the price per share of the merged firm? $($show as $xx$.$xx per share$)$