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A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain. How many rectangular containers will be necessary to package 6,400 candles?

Respuesta :

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

[tex]\frac{15}{45}=\frac{1}{3}=\$0.33[/tex]

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

[tex]\frac{16}{41}=\$0.39[/tex]

So, if the company needs to package 6,400 candles , it should use rectangular containers to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

[tex]\frac{6400}{45}=142.2=142\ approximately.[/tex]

Hence, there are 142 rectangular container is needed to pack 6400 candles.

The company should use only rectangular containers to minimize costs

Number of rectangular containers that will be necessary to package 6,400 candles is 142 (approximately)

Cost Minimization

Number of candles that a rectangular container can hold = 45

Number of candles that a cylindrical container can hold = 41

Number of rectangular containers that will be used to package 6400 candles = 6400/45

Number of rectangular containers that will be used to package 6400 candles = 142.2

Number of cylindrical containers that will be used to package 6400 candles = 6400/41

Number of cylindrical containers that will be used to package 6400 candles = 156.1

Cost of 1 rectangular container = $16

Cost of 142.2 rectangular containers = 142.2 x 16 = $2275.2

Cost of 1 cylindrical container = $15

Cost of 156.1 cylindrical containers = 156.1 x 15 = $2341.5

Therefore, the company should use only rectangular containers to minimize costs

Number of rectangular containers that will be necessary to package 6,400 candles is 142 (approximately)

Learn more on cost minimization here: https://brainly.com/question/4606597

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