$1.$ Spacely Sprockets is acquiring Cogwell's Cogs for $$7,400,000$ worth of Spacely Sprockets stock. Cogwell's Cogs has $165,000$ shares of stock outstanding for $$43\mathrm{.}85$ per share. Spacely Sprockets have $475,000$ shares outstanding with a market value of $$32\mathrm{.}80$ per share. The incremental value of the acquisition is estimated to be $$425,000.$ Hint, look at practice problem $($M&A$)$ #$10.$

$$ a$)$ How many new shares of the acquirer's stock will be issued to pay for the target? $(4$ pts$)$ Round to the nearest whole share. $$

$$ b$)$ How many shares will the acquirer have after the merger? Rounding to the nearest whole share is fine. $(2$ pts$)$