A risk management strategy using derivatives consists of a combination of two put contracts.

• If the stock price at expiration equals $24, the put contract with the lowest strike price is exercised and the contract holder makes a profit of $23
• If the stock price at expiration equals $54.25, then:

**/ the put contract with the highest strike price is exercised and the contract holder makes a profit of $2.75

**/ the total loss out of the strategy is $3.25

• The lowest put premium = (the highest put premium $2.5)/3

Find is the initial investment?