Problem $3(1$ point$)$ A company needs funds and its banking institution offers the following alternatives: $-$ Option A: line of credit with a limit of $10,000$ euros, annual nominal interest rate of $\backslash (5\backslash \%\backslash ),$ an originating fee of $\backslash (1\backslash \%\backslash )$ on the requested credit limit and a quarterly commission $\backslash (0\mathrm{.}25\backslash \%\backslash )$ on the unused credit. $-$ Option B: short$-$term loan of principal $8,000$ euros, annual nominal interest rate $\backslash (4\mathrm{.}75\backslash \%\backslash ),$ originating fee of $\backslash (1\backslash \%\backslash )$ and notarial expenses of $50$ euros. All interests and expenses will be paid in advance at the time of getting the money $($discounted loan$).$ The principal of the loan will be repaid entirely in a single payment in one year. If the company estimates that the average withdrawal of the credit line will be $8,000$ euros: a$)$ Show the estimated cost of the line of credit. $(0\mathrm{.}45$ points$)$ b$)$ Show the cost of the loan. $(0\mathrm{.}45$ points$)$ c$)$ Show which one is the most appropriate source of funding. Explain your answer $(0\mathrm{.}1$ point$)$