A put option in finance allows you to sell a share of stock in the future at a given price. There are different types of put options. A European put option allows you to sell a share of stock at a given price (called the exercise price) at a particular point in time after the purchase of the option. For example, suppose you purchase an eight-month European put option for a share of stock with an exercise price of $29. If eight months later, the stock price per share is $29 or more, the option has no value. If in six months time the stock price is lower than $29 per share, then you can purchase the stock and immediately sell it at the higher exercise price of $29. If the price per share in eight months is $26.4, you can purchase a share of the stock for $26.4 and then use the put option to immediately sell the share for $29. Your profit would be the difference, $29-$26.4 = $2.6 per share, less the cost of the option. If you paid $1.5 per put option, then your profit would be $2.6-$1.5=$1.1 per share.

Build a model to calculate the profit of this European put option.

Construct a data table that shows the profit per share for a share price in eight months between $15 and $35 per share in increments of $1.