$5.$ Dutch & Dillon Pencils Inc. $($DDP$)$ will be having an earnings announcement next month. They recently went through a merger and their short$-$term profits are uncertain. Using a Reverse Iron Condor strategy, build a position out of the four options listed below. DDP is currently trading at $$40\mathrm{.}00$ per share. Assume a $2\%$ interest rate per annum. $(4$ points$)$

Spot Expiration Call Price Strike Price Put Price

$$40\mathrm{.}002$ Months $$14\mathrm{.}05$ $$30$ $$1\mathrm{.}74$

$$40\mathrm{.}002$ Months $$10\mathrm{.}05$ $$35$ $$2\mathrm{.}36$

$$40\mathrm{.}002$ Months $$5\mathrm{.}50$ $$45$ $$7\mathrm{.}04$

$$40\mathrm{.}002$ Months $$5\mathrm{.}01$ $$50$ $$11\mathrm{.}16$

a$.)$ Describe each purchase you must make to build this position. Long$/$short which options at which strike prices?

b$.)$ What is your total cost per share to build this position?

c$.)$ What is your maximum gain and what is your maximum loss?

d$.)$ What are your breakeven points?

e$.)$ Draw the profit diagram of this position. Be sure to label all intercepts, max$/$min$,$ and breakeven points.