Answer: Rectangular container is preferred to minimize the costs and there are 142 rectangular container is needed to pack 6400 candles.
Explanation:
Since we have given that
Number of candles in a rectangular container = 45
Number of candles in a cylindrical container = 41
Cost of each rectangular container = $15
Cost of each cylinder container = $16
That means ,
In case of rectangular container,
Cost of 45 candles = $15
Cost of 1 candle is given by
![\frac{15}{45}=\frac{1}{3}=\$0.33](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B45%7D%3D%5Cfrac%7B1%7D%7B3%7D%3D%5C%240.33)
Similarly,
In case of cylindrical container,
Cost of 41 candles = $16
Cost of 1 candle is given by
![\frac{16}{41}=\$0.39](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B41%7D%3D%5C%240.39)
So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.
Number of candle he need to pack = 6400
Number of rectangular container for 6400 candles is given by
![\frac{6400}{45}=142.2=142\ approximately.](https://tex.z-dn.net/?f=%5Cfrac%7B6400%7D%7B45%7D%3D142.2%3D142%5C%20approximately.)
Hence, there are 142 rectangular container is needed to pack 6400 candles.