Chapter 9.1, Problem 43E

Agriculture Pregnant sows tethered in stalls often show high levels of repetitive behavior, such as bar biting and chain chewing, indicating chronic stress. Researchers from Great Britain have developed a function that estimates the relationship between repetitive behavior, the behavior of sows in adjacent stalls, and food allowances such that

$\ln \left(T\right)=5.49-3.00\ln \left(F\right)+0.18\ln \left(C\right)$

where T is the percent of time spent in repetitive behavior, F is the amount of food given to the sow (in kilograms per day), and C is the percent of time that neighboring sows spent bar biting and chain chewing. Source: Applied Animal Behaviour Science.

a. Solve the above expression for T.

b. Find and interpret T when $F=2$, and $C=40$.