Practical Application: Set up a $1-$for$-1$ outperformance strategy in your account

Stock A is trading at $$75.$ Stock B is trading at $$50.$ We think A is a better stock than B$.$ How can we profit from our view?

We will need $\backslash$Delta $=75/50=1\mathrm{.}5$ shares of #$23$ per $1$ share of #$24$ to set up the trade.

We #$25300$ shares of A and #$26$ #$27$ shares of B$.$

Based on this context, please answer the following three questions.

Scenario $1($Good$).$ A goes up by $20\%$ while B goes up by $10\%.$

Our dollar gain on A is $

Our dollar loss on B is $

Our net gain is $ #$28$

Scenario $2($Good$).$ A goes down by $10\%$ while B goes down by $20\%.$

Our dollar loss on A is $

Our dollar gain on B is $

Our net gain is $ #$29$

Scenario $3($Bad$).$ A goes down by $20\%$ while B goes down by $10\%.$

Our dollar loss on A is $ #$30$

Our dollar gain on B is $ #$31$

Our net loss is $ #$32$