$1\mathrm{.}3$ On $10$ November $2023,$ an investor buys a call option to purchase the Glencore Plc share at a price of R$6\mathrm{.}30$ with an exercise price of R$58$ on $10$ January $2024.$ Glencore Plc is a Swiss multinational commodity trading and mining company with headquarters in Baar, Switzerland. Assume that the fair value of the share option on $31$ December $2023$ increased to R$22\mathrm{.}50.$

a$)$ At what share price will the investor break even on the purchase of the call?

b$)$ If the share price of Glencore Plc is R$75$ on $31$ December $2023,$ how much will the intrinsic value and time value on the call option be$?$

c$)$ What are the three variables or inputs