I have found many different solutions to this questions here on Chegg, and all of them give different answers, so I am very confused, as to how an accurate solution of this question would look. Could you explain why there are so many different solutions as well?

Lemon Brothers, a large Lemon distributor in the U$.$S$.,$ is selling

$50,000$ tons per year on credit at an average selling price of $$1000$

per ton. The average customer payment is for purchasing $0\mathrm{.}055-$

ton lemons per customer. Treasury bills are currently yielding $5$

percent per year. The current credit term of Policy $1$ is net $30($no

cash discount$)$ and the customers, on average, pay $4$ days overdue.

The company is considering offering an alternative credit term of

$\frac{2}{10},$ net $30($Policy $2)$ and anticipates that $20$ percent of its

customer will take advantage of the discounts. Policy $2$ will reduce

the collection period to $28$ days, assuming $365$ days a year.

Alternatively, the company can use a short$-$term financing from

Silicon Bank charging an annual interest rate of $40$ percent on the

short$-$term loans.

The company is factoring all receivables immediately at a $2$

percent discount. It is also considering opening a lockbox

perpetually in Silicon Bank that provides this service for an annual

fee of $$25,000$ plus $10$ cents per check cleared for each purchase.

The lockbox will make cash available to the company one day

earlier than the current case.

Requirements:

a$)$ What are the average receivables under Policy $1$ and Policy $2?$

marks$]$

b$)$ Under Policy $1,$ what is the effective annual cost of factoring

assuming that default is extremely unlikely.

$[5$ marks$]$

c$)$ Under Policy $2,$ what is the average collection period for those

customers who do not take the discount?

$[3$ marks$]$

d$)$ Under Policy $2,$ what is the implied interest charged on the

payment of an average customer paid within $30$ days?

$[3$ marks$]$

e$)$ Should the company adopt Policy $2$ or use the short$-$term

financing provided by Silicon Bank?

$[5$ marks$]$

f$)$ How many customer purchases are needed each day to make the

lockbox service affordable for the company?