Question

A company produces and sells 6,400 recliners each year. Each production run has a fixed cost of $400 and an additional cost of $35 per recliner. To store a recliner for a full year costs $8. What is the optimal number of recliners the company should make during each production run? Do not include units with your answer.

Answer 1

800 Recliners

Step-by-step explanation:

Calculation for the optimal number of recliners the company should make during each production run

Using this formula

Economic Order Quantity (EOQ) =√ [(2 D x S) / C]

Where,

Annual Demand (D) = 6,400 Recliners

Fixed Ordering Cost (S) = $400

Carrying cost per recliner (C) = $8

Let plug in the formula

Economic Order Quantity (EOQ)= √[(2 x 6,400 x $400) / $8]

Economic Order Quantity (EOQ)=√$5,120,000/$8

Economic Order Quantity (EOQ)=√$640,000

Economic Order Quantity (EOQ)= 800 Recliners

Therefore the optimal number of recliners the company should make during each production run will be 800 Recliners