Orion Mechanical is being acquired by Tech Wizards for $$555,200$ worth of Tech Wizards stock. Orion Mechanical has $24,500$ shares of stock outstanding at $$21\mathrm{.}50$ a share. Tech Wizards has $60,000$ outstanding shares with a market value of $$25\mathrm{.}65$ each. The incremental value of the acquisition is $$46,200.$ a$)$ How many new shares of the acquirer's stock will be issued to pay for the target? b$)$ How many shares will the acquirer have after the merger?

a$)$ How many new shares of the acquirer's stock will be issued to pay for the target?

b$)$ How many shares will the acquirer have after the merger?