Efficient Tutorial Production: Utilizing POQ Analysis for Cost Optimization

QUESTION

ASSIGNED PROBLEM 5: Dr. Quant’s is considering producing his own tutorials. Of course this would require setting up equipment and labor to print, bind and package them. With the demand still being 10,000 per year and holding cost still at $0.08 per packet, he estimates the setup cost to be $14.50 and he figures he can produce 400 tutorials per day. Assuming 250 working days per year, perform an POQ analysis and answer the following:

➢ 5a) What should your order size be if you want to minimize total cost?

➢ 5b) What is the approximate number of days of production for each run following a setup?

ANSWER

Efficient Tutorial Production: Utilizing POQ Analysis for Cost Optimization

Introduction

In the quest to enhance educational resources, Dr. Quant, a renowned educator, contemplates producing his own tutorials. This venture necessitates meticulous planning, encompassing equipment setup, labor allocation, and cost considerations. By employing Periodic Order Quantity (POQ) analysis, Dr. Quant can optimize his tutorial production process, minimizing costs while meeting the demand. In this essay, we will delve into the POQ analysis and explore the factors that impact the order size and production duration.

Minimizing Total Cost: Determining the Optimal Order Size

To minimize the total cost, Dr. Quant must balance the setup cost and holding cost. With a demand of 10,000 tutorials per year and a production capacity of 400 tutorials per day over 250 working days, we calculate the daily demand to be 40 tutorials.

Applying the EOQ formula, considering the setup cost of $14.50 and a holding cost of $0.08 per packet, we can determine the order quantity that minimizes the total cost. The EOQ formula is derived as follows:

EOQ = √[(2 × Demand × Setup Cost) / Holding Cost]

Substituting the values, we have:
EOQ = √[(2 × 10,000 × $14.50) / $0.08]
≈ √45,312,500
≈ 6,734

Hence, an order size of approximately 6,734 tutorials is optimal for minimizing the total cost. By adhering to this quantity, Dr. Quant can strike a balance between setup and holding costs, optimizing his tutorial production process.

 Production Duration: Determining the Number of Days per Run

After setting up the equipment and labor, Dr. Quant must consider the number of days required for each production run following the setup. As mentioned earlier, the production capacity stands at 400 tutorials per day.

To estimate the production duration, we divide the order quantity by the daily production rate:
Number of Days of Production = Order Quantity / Daily Production Rate
= 6,734 / 400
≈ 16.83

Therefore, each production run following the setup will last approximately 16 to 17 days. During this time, Dr. Quant’s team can diligently print, bind, and package the tutorials to meet the demand efficiently.

Conclusion

By employing POQ analysis, Dr. Quant can effectively optimize his tutorial production process while minimizing costs. With an order size of approximately 6,734 tutorials, he strikes a balance between setup and holding costs, reducing overall expenses. Furthermore, estimating the production duration at around 16 to 17 days per run ensures efficient utilization of resources while meeting the annual demand of 10,000 tutorials. By leveraging the power of POQ analysis, Dr. Quant can provide valuable educational materials to aspiring learners while maintaining a cost-effective approach to tutorial production.