A retailer is deciding how many units of a certain product to stock. The historical probability distribution of sales for this product is $0$ units, $0\mathrm{.}2$;$1$ unit, $0\mathrm{.}3$;$2$ units, $0\mathrm{.}4,$ and $3$ units, $0\mathrm{.}1.$ The product costs $$8$ per unit and sells for $$25$ per unit. What is the largest conditional value $($profit$)$ in the entire payoff table for this scenario?

Select one:

a$.$ $$75$ profit

b$.$ $$-24$ profit

a$-$ $$-8$ profit

d$.$ $$17$ profit

e$.$ $$51$ profit