Use the information provided in the table below, which shows information regarding the options of Tesla as of November $29,2021.$ The expiration date of $21-$Jan$$ denotes an expiration date of Jan $21,2022.$ Each contract represents $100$ shares of Tesla.

a$.$ What is the cost to purchase $20$ January call contracts, with an exercise price of $1140?$

b$.$ Are the January call options with an exercise price of $1140$ in$-$the$-$money, out$-$of$-$the$-$money, or at$-$the$-$money? Explain.

c$.$ If you were to draw the payoff diagram for the January call options with an exercise price of $1140,$ what would be the breakeven point?

d$.$ Do the calls and puts with an $1120$ exercise price satisfy put$-$call parity, if the risk$-$free rate is $3\%?($note this part refers to a different exercise price than that in parts a $$ c$).$ If they do not, please show the profits implied by the arbitrage opportunity.