$1.$ You are bearish on a stock and are considering entering into a bear spread option strategy. If you go long a put with a strike price of $$100$ for $$2\mathrm{.}67$ and go short a put with a $$95$ strike for $$0\mathrm{.}89.$ Your gross payoff from the strategy will $\_\_\_\_\_\_\_$ and your up front cost will $\_\_\_\_\_\_\_\_.$

a$.$ Not be capped, increase to $$3\mathrm{.}56$

b$.$ Capped at $$5,$ decrease to $$1\mathrm{.}78$

c$.$ Not be capped, decrease to $$1\mathrm{.}78$

d$.$ Capped at $$5,$ increase to $$3\mathrm{.}56$

$2.$You are bullish on a stock and are considering entering into a bull spread option strategy. If you go long a call with a strike price of $$100$ for $$3\mathrm{.}09$ and go short a call with a $$105$ strike for $$1\mathrm{.}21.$ Your gross payoff from the strategy will $\_\_\_\_\_\_\_$ and your up front cost will $\_\_\_\_\_\_\_\_.$

a$.$ Not be capped, increase to $$3\mathrm{.}56$

b$.$ Capped at $$5,$ increase to $$3\mathrm{.}56$

c$.$ Not be capped, decrease to $$1\mathrm{.}88$

d$.$ Capped at $$5,$ decrease to $$1\mathrm{.}88$