Consider a newsvendor problem where demand is expected to be normally distributed with a mean of $3000$ units and a standard deviation of $600$ units. This is a high$-$margin monopoly item, with a variable production cost of $$61$ per unit and a sales price of $$195$ per unit. In addition, the producer must pay $$5$ to discard any unsold units. How many units should be produced?

a$)u=$$ $$ unit.

b$)0=$$ $q,$ lunit.

c$)Z-$value $=q,($round your response to two decimal places$).$

d$)$ The production quantity should be $$ units $($round your response to the nearest integer$).$