Question

Administrators at MG hospital believe that the hospital's expenditures E(b) measures in dollars, are a function of how many beds (B) are in use with; E(b)=1400 + (B+1)^2. On the other hand, the number of beds is a function of time t, measured in days and it is estimated that: B(t)= 20sin(t/10) + 50. At what rate are the expenditures decreasing when t =100?

Answer 1

202 dollars/day

Answer 2

$135/day