Hi-Tek is a retailer of computer equipment in the greater Chicago region with fo

Question

Hi-Tek is a retailer of computer equipment in the greater Chicago region with four retail outlets. Currently, each outlet manage its ordering independently. Demand at each retail outlet averages 4000 units per week. Each unit costs $200, and Hi-Tek has an annual holding cost of 20%. The fixed cost of each order (administrative + transportation) is $900. Assume 50 weeks in a year.
Given that each outlet orders independently and gets its own delivery, determine the optimal order size at each outlet.
On average, how long (in weeks) does each unit spend in the Hi-Tek system before being sold?
Hi-Tek is thinking of centralizing purchasing (forall four outlets). In this setting, Hi-Tek will place a single order (for all outlets) with the supplier. The supplier will deliver the order on a common truck to a transit point. Since individual requirements are identical across outlets, the total order is split equally and shipped to the retailers from this transit point. This entire operation will increase the fixed cost of placing an order to $1800. If Hi-Tek manages ordering optimally, determine the average inventory across all four outlets in the new Hi-Tek system

Explanation / Answer

helpfull Given that each outlet orders independently and gets its own delivery, the optimal order size at each outlet is 3,000 = sqrt(2RS/H) = sqrt(2*4000*50*900/(.20*200)) On average, how long (in weeks) does each unit spend in the Hi-Tek system before being sold? T = I / R = (Q/2) / R = 1,500 / 4000 weeks = 3/8 weeks = .375 weeks Hi-Tek is thinking of centralizing purchasing (for all four outlets). In this setting, Hi-Tek will place a single order (for all outlets) with the supplier. The supplier will deliver the order on a common truck to a transit point. Since individual requirements are identical across outlets, the total order is split equally and shipped to the retailers from this transit point. This entire operation has increased the fixed cost of placing an order to $1,800. If Hi-Tek manages ordering optimally in the new setting, average inventory in the Hi-Tek system (across all four outlets) can be expected to Decrease

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.