$1.$Prepare journal entries to record the following transactions for Sherman Systems.

a$.$Purchased $7,500$ shares of its own common stock at $$50$ per share on October $11.$

b$.$ Sold $1,625$ treasury shares on November $1$ for $$56$ cash per share.

c$.$ Sold all remaining treasury shares on November $25$ for $$49$ cash per share.

$2.$ Prepare the stockholders' equity section after the October $11$ treasury stock purchase.