## Related questions with answers

To control an agricultural pest called the medfly (Mediterranean fruit fly), $N$ sterilized male flies are released into the general fly population every day. If $s$ is the proportion of these sterilized flies that survive a given day, then $Ns^k$ will survive for $k$ days. If $s=$ 0.9 and 10,000 sterilized males are needed to control the medfly population in a given area, how many should be released every day?

Solution

Verified$\begin{gather*} \color{Mahogany}\text{We found in part a) that the number of sterilized flies after n days is given by :}\\ S_{n} = \frac{N}{1-s}\\\\ \color{Mahogany}\text{Solve for N :}\\ N = S_{n}(1-s)\\\\ \color{Mahogany}\text{So if $S_{n} = 10000$ and $s = 0.9$:}\\ N = 10000(1-0.9) =1000 \text{ sterilized flies}\\ \end{gather*}$

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