Problem $3\mathrm{.}2$ Consider a videocamera with $2015mm$ sensor area and Bayer filter mosaic $(2$ green

pixels for each blue and red pixel$).$ The camera records cows grazing at a distance equal to $500$ times the

focal length. The scene is approximated as bandlimited to $10Hz$ temporally and $1cycl\frac{e}{c}m$ horizontally

and vertically for the green component, and $0\mathrm{.}5cycl\frac{e}{c}m$ for the blue and red components. What is the

minimum camera resolution $($number of pixels$)$ that ensures no detail will be lost during the acquisition

process?