a rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. each…

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? how many cylindrical containers will be necessary to package 6,400 candles? which container should the company use to minimize costs? explain.

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? how many cylindrical containers will be necessary to package 6,400 candles? which container should the company use to minimize costs? explain.

Answer

Explanation:

Step1: Calculate number of rectangular containers

Divide total candles by capacity of rectangular container. $6400\div45=\frac{6400}{45}=\frac{1280}{9}\approx142.22$. Since we can't have a fraction of a container, we need to round up to 143 containers.

Step2: Calculate number of cylindrical containers

Divide total candles by capacity of cylindrical container. $6400\div41=\frac{6400}{41}\approx156.1$. We round up to 157 containers.

Step3: Calculate cost of using rectangular containers

Multiply number of rectangular containers by cost per rectangular container. $143\times16 = 2288$

Step4: Calculate cost of using cylindrical containers

Multiply number of cylindrical containers by cost per cylindrical container. $157\times15=2355$

Answer:

How many rectangular containers will be necessary to package 6,400 candles? 143 How many cylindrical containers will be necessary to package 6,400 candles? 157 Which container should the company use to minimize costs? Explain. The company should use rectangular containers because the total cost of using 143 rectangular - containers at $16 each ($2288) is less than the total cost of using 157 cylindrical containers at $15 each ($2355).