University of Florida football programs are printed $1$ week prior to each home game. Attendance averages $90,000$ screaming and loyal Gators$$ fans, of whom$$ two$-$thirds usually buy the$$ program, following a normal$$ distribution, for $$$$4$ each. Unsold programs are sent to a recycling center that pays only $20$ cents per program. The standard deviation is $5,000$programs$,$ and the cost to print each program is $$$$1.$ Refer to the standard normal table LOADING... for$$ z$-$values.

Part $2$

$$a$)$ What is the cost of underestimating demand for each$$ program?

Cs$=$$enter your response here $($round your response to two decimal$$ places$).$

Part $3$

$$b$)$ What is the overage cost per$$ program?

Co$=$$enter your response here $($round your response to two decimal$$ places$).$

Part $4$

$$c$)$ How many programs should be ordered per$$ game?

enter your response here programs should be ordered per game $($round your response to the nearest whole$$ number$).$

Part $5$

$$d$)$ What is the stockout risk for this order$$ size?

Stockout risk$=$enter your response here $($round your response to four decimal$$ places$).$