Answer
See below
Work Step by Step
The total number of hospital beds in US hospitals:
$HB=(-58.7t+7070)(0.0066t^3-0.192t^2-0.174t+196)\\=-0.38742t^4+11.2704t^3+10.2138t^2-11505.2t+46.662t^3-1357.44t^2-1230.18t+1385720\\=-0.38742t^4+57.9324t^3-1347.23t^2-12735.4t+1385720$