Would it be possible for a company to repurchase more shares than the total amount of Shares that they have outstanding?

Example. Company A has 10,000 shares outstanding, a P\E ratio of 4 times $1 per share, but has $80,000 in funds to repurchase shares. How many shares will be repurchased?

Price per share would be $4 in this scenario. It would cost $40,000 to repurchase all 10,000 shares outstanding, but the company wants to use $80,000 to repurchase shares. Would it be possible to invest all $80,000 to repurchase 20,000 shares in this scenario?