Hansen Corp. is considering extending trade credit to an existing customer who has been buying on cash terms. The customer has just placed a sales order $($cash terms$)$ for immediate delivery of $1,500$ units at a sales price per unit of $$2,730.$ The customer states that they will increase their sales order by $110$ units if they receive a $60-$day credit period. Variable costs are $$1,560$ per unit and involve an immediate cash outflow. The seller believes that there is a $10\%$ probability that the customer will default on the trade credit obligation. If the seller has an annual opportunity cost rate of $3\mathrm{.}65\%,$ what is the NPV of extending credit to the customer?

a$)-$$$334,423$

b$)$ $$322,485$

c$)$ $$342,902$

d$)-$$$289,587$