A trader creates a bear spread by selling a 6-month put option with a $$\$ 25$$ strike price for $$\$ 2.15$$ and buying a 6-month put option with a $$\$ 29$$ strike price for $$\$ 4.75$$. What is the initial investment? What is the total payoff (excluding the initial investment) when the stock price in 6 months is (a) $$\$ 23$$, (b) $$\$ 28$$, and (c) $$\$ 33$$.