Samâs Auto Shop services and repairs a particular brand of foreign automobile. Sam uses oil filters throughout the year. The shop operates fifty-two weeks per year and weekly demand is 150 filters. Sam estimates that it costs $20 to place an order and his annual holding cost rate is $3 per oil filter. Currently, Sam orders in quantities of 650 filters. Calculate the total annual costs associated with Samâs current ordering policy

Total annual costs = $

Respuesta :

Answer:

The answer is $23640.

Step-by-step explanation:

The shop operates fifty-two weeks per year and weekly demand is 150 filters.

So, for 52 weeks the number of filters needed are = [tex]52\times150=7800[/tex]

Sam estimates that it costs $20 to place an order and his annual holding cost rate is $3 per oil filter.

He orders in quantities of 650 filters. Means for the year he will order [tex]7800/650=12[/tex] quantities

Total annual costs = ordering cost + holding cost

Ordering cost for 12 batches = [tex]20\times12=240[/tex] dollars

Annual holding cost = [tex]7800\times3=23400[/tex] dollars

Total cost will be = [tex]240+23400=23640[/tex] dollars