Using the gains charts shown in Question #$4$ the Senior Product Manager at ACME Direct will determine who to promote for his upcoming cookbook promotion. To ensure $5\%$ profit$-$after$-$overhead for this campaign, the Senior Product Manager has determined he should not promote any group of customers with a response rate below $5\mathrm{.}00\%.$

If the primary customer segment for the books product line $($the universe the regression model was built on$)$ represents $3,450,000$ names,

a$)$ How many names should the senior product manager promote?

b$)$ What will be his expected number of orders in roll$-$out?