Given a rule$-$based ES with nine rules whose purpose is to advise you on how your health is influenced by certain foods and other factors. The rules are:

R$1$ IF you eat beef OR eggs THEN high cholesterol

R$2$ IF you eat fish OR poultry AND no beef THEN low cholesterol

R$3$ IF you eat no beef AND no fish AND no poultry THEN low cholesterol

R$4$ IF you are a Freak AND today is Monday THEN you eat fish AND no beef AND no poultry

R$5$ If you are a vegetarian THEN you eat no beef AND no fish AND no poultry

R$6$ IF low cholesterol THEN healthy

$R7$ IF high cholesterol THEN unhealthy

R$8$ IF you eat veal THEN you eat beef

$R9$ If you work six hours or less todayTHEN it is Monday.

The system is intended to tell you if you are healthy or unhealthy. Run forward chaining.

Review the following scenarios $($please list all rules analyzed$)$:

a$)$ What if you eat veal?

b$)$ What if you are a Freak and today is Monday?

c$)$ What if you are a Freak, eat poultry, and work four hours today?

d$)$ What if you are not a vegetarian and work eight hours today?