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Use the following information for the next two questions
Use the following information for the next two questions.
Geron Company manufactures a line of deluxe office fixtures. The annual demand for its miniature oak file is estimated to be 5,000 units. The annual cost of carrying one unit in inventory is P10, and the cost to initiate a production run is P1,000. There are no miniature oak files on hand, and Geron has scheduled four equal production runs of the miniature oak file for the coming year, the first of which is to be run immediately. Geron has 250 business days per year. Assume that sales occur uniformly throughout the year and that production is instantaneous.
If Geron does not maintain a safety stock, the estimated total carrying costs for the office fixtures for the coming year based on their current schedule is
Group of answer choices
P5,000
P10,250
P4,000
P6,250
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Question 9
The number of production runs per year of the miniature oak files that would minimize the sum of carrying costs and setup costs for the coming year is
Group of answer choices
5
2
7
4
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Question 10
The Special Chemical Company uses 150,000 gallons of acid per month. The cost of carrying the chemical in inventory is P30 per gallon per year, and the cost of ordering the chemical is P7,500 per order. The firm uses the chemical at a constant rate throughout the year. It takes 21 days to receive an order once it is placed. The reorder point is
Group of answer choices
7,500 gallons.
90,000 gallons.
105,000 gallons.
30,000 gallons.
Expert Solution
Answer 8 :
The production in each run = 5,000/4 = 1250
This average inventory = 1,250/2 = 625
The carrying cost = 625 X P10 = P6250
Thus, the correct option is last option i.e. P6,250.
Answer 9 :
The Quantity per production run which will minimize the cost will be determined using EOQ forluma
= (2*Annual Demand*Cost per setup/Carrying cost per unit)^1/2
= (2*5000*1000/10)^1/2
= 1000 units
Hence, number of production runs = Annual demand/Quantity per run
= 5000/1000
= 5 runs
The answer is Option 1 i.e. 5
Answer 10 :
Monthly requirement of acid in Gallons = 150000
One day requirement =150,000/30 = 5000
It takes 21 days to receive order so order should be placed atleast when we have 21 days requirement available with us.
Therefore Reorder point = 21*5000 = 105,000
Therefore correct answer is option 3rd i.e. 105000 gallons.
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