$12.$ ABC Corporation is considering the acquisition of JLK Corporation. ABC has $760,000,000$ shares of stock, with earnings per share of $$6\mathrm{.}70$ and a market price per share of $$78.$ JLK has $350,000,000$ shares outstanding with earnings per share of $$4\mathrm{.}56$ and a market price of $$62.$ The merger is expected to increase the net income of the combined companies by $$615,000,000($in synergistic benefits$).$ What is the maximum exchange ratio ABC can offer and what is the minimum exchange ratio JKL could accept?