Roasting time for turkey. The following table list the variables involved in the cooking process of

a turkey in a conventional oven at $325$ degrees Fahrenheit, under some simplifying

assumptions.

a$.)$ Using the technique of dimensional analysis, determine the relationship between the cooking

time and the other variables.

b$.)$ You remember that it would take your mother $4$ hours to cook an $8kg$ turkey. You have invited

your always starving friends for thanksgiving dinner and to watch football. You estimated $2$

hours of cooking time for a $4kg$ turkey with the same physical properties? Do the appropriate

calculations to determine if you would have turkey eating happy friends or starving angry friends

at the end of $2$ hours.$|$