Problem No. 1
How to calculate raw materials to produce finished product/goods?
A factory uses a particular raw material. There are three processes A, B and C. The data relating to inputs, outputs and rejections during the month of April are given below:
Inputs (in pieces) (Including opening W.I.P) 
Rejections (in Pieces) 
Output (in pieces) 

A  18,000  6,000  12,000 
B  19,800  1,800  18,000 
C  20,400  3,400  17,000 
Determining what should be inputs and Process A when final product transferred from process C is 1,000 pieces.
Required:
Calculate the cost of raw materials to produce one piece of the finished product when:
(a) the weight of the finished product is 10 gram.
(b) the price of the raw material is $1 per kg.
Solution
(a). Process
No. of Pieces  Rejected Pieces  
Input  Output  No.  % of output  
A  18,000  12,000  6,000  50% 
B  19,800  18,000  1,800  10% 
C  20,400  17,000  3,400  20% 
If 1,000 good pieces should be the output of Process C the input should be 1,000 plus 20%, i.e., 1,200 pieces. This input of 1,200 units of Process C should be the output of process B. The percentage of rejection being 10% in process B, the input in process B should be 1,200 pieces plus, i.e., 1,320 pcs. Similarly, 1,320 pcs. should be should be the output of Process A. The rejection being 50%, the input of process A should be 1,320 plus 50%, i.e., 1,980 pcs. It can be tabulated as follows:
Process  Input  Rejection  % Rejection of output  Output 
A  1,980  660  50%  1,320 
B  1,320  120  10%  1,200 
C  1,200  200  20%  1,000 
(b) Given:
weight of the finished product = 10 grams per pc.
Assuming that there is no other loss of material, the total material required for 1,980 pcs. of input of Process A shall be:
1,980 pcs. X 10 gms. = 19,800 gms.
Rate of Material = $1 per kg.
Cost of raw material = (19,800X1) / 1,000 = $19.80
Cost o fraw material per pc.= 19.80 / 1,000 = $0.0198
Problem No. 2
Calculation of Maximum, Minimum and reorder stock levels.
(1). Discuss the consideration that influences the setting of maximum, minimum and reorder stock levels. Illustrate their computation by using the following information for a component ‘ZYP’.
Normal usage  50 per week 
Minimum usage  25 per week 
Maximum usage  75 per week 
Reorder quantity  300 units 
Reorder period  4 to 6 weeks 
Solution
(Note: For consideration influencing the stock levels, read the discussion in the previous pages)
Reorder level = Max. consumption per day / per week etc. X Max. Reorder period
= 75 units X 6 weeks = 450 Units.
Maximum Level = Reorder Level + Reorder Quantity – (Minimum consumption per day/per week etc. X Minimum time required to obtain supplies)
= 450 units + 300 units – (25 units x 4 weeks)
= 750 units – 100 units = 650 units
Minimum Level = ReOrder level – (Normal consumption per day/per week etc. X Average Reorder period)
= 450 units – (50 units x 5 weeks)
= 450 units – 250 units = 200 units
(2). Two Components, A and B are used as follows:
Normal usage = 50 units per week each
Minimum usage = 25 units per week each
Maximum usage = 75 units per week each
Reorder quantity A: 400 units
Reorder quantity B: 600 units
Reorder period A: 4 to 6 weeks
Reorder period B: 2 to 4 weeks
Required:
Calculate for each component
(i) Reorder Level
(ii) Minimum level
(iii) Maximum level
(iv) Average stock level
Solution
(i) Reorder Level = Maximum consumption per day/per week etc. X Maximum ReOrder Period
Component A = 75 units X 6 weeks = 450 units
Component B = 75 units X 4 weeks = 300 units
(ii) Minimum Level = Reorder Level – (Normal consumption per day/per week etc. X Average Reorder period)
Component A = 450 units – (50 units x 5 weeks) = 200 units
Component B = 300 units – (50 units x 3 weeks) = 150 units
(iii) Maximum Level = Reorder level – Reorder Quantity – (Minimum consumption per day/per week, etc. X Minimum Time Required to get supplies)
Component A = 450 units + 400 units – (25 units x 4 weeks)
= 850 units – 100 units = 750 units
Component B = 300 units + 600 units – (25 units x 2 weeks)
= 900 units – 50 units = 850 units
Average Stock Level = Minimum Level + 1/2 (Reorder Quantity)
Component A = 200 units + (1 / 2 X 400 units) = 400 units
Component B = 150 units + (1/2 X 600 units) = 450 units
Problem 3
Calculation of Material Turnover Ratio
Following figures were taken from the records of John and Co. for the year 31st March 2019. The valuation of inventory is $1 per kg:
Material ‘X’  Material ‘Y’  
$  $  
Opening Stock  1,700  1,200 
Purchases  51,000  32,000 
Closing Stock  1,200  1,000 
Required:
Calculate the material turnover ratio and express in number of days the average inventory is held.
Solution
Working notes:
1. Material consumed
Material ‘X’ (kgs.) 
Material ‘Y’ (kgs.) 

Opening stock Add: Purchases 
1,700 51,000 
1,200 32,000 
52,700  33,200  
Less: Closing Stock  1,200  1,000 
51,500  32,200 
2. Average Inventory
Average inventory = (Opening Stock + Closing Stock) / 2
Material X = (1,700 + 1,200) / 2 = 1,450 kgs.
Material Y = (1,200 + 1,000) / 2 = 1,100 kgs.
3. Material Turnover Ratio
= Material consumed during the period / Average Inventory
Material X = 51,500 / 1,450 = 35.5 times (approx.)
Material Y = 32,200 / 1,100 = 29.3 times (approx.)
4. Number of days Average Inventory is held
= Total No. of days in the period / Material Turnover
Material X = 365 / 35.5 = 10.3 days (approx.)
Material Y = 365 / 29.3 = 12.5 days (approx.)
Problem 4
Calculation of Economic Order Quantity
(1). Do as directed:
Annual consumption: 40,00,000 kgs.
Cost of placing one order: $100
Cost of carrying one kg. of raw material for one year: $0.5
Required:
Calculate the Economic Order Quantity (EOQ)
Solution:
(2). The annual demand for a product is 6,400 units. The unit cost is $6 and inventory carrying cost is 25% per annum. If the cost of one procurement is $75 determine:
(i) Economic order quantity
(ii) No. of orders per year
(iii) Time between two consecutive orders.
Solution
(i) Economic Order Quantity
(ii) No. of orders per year = Annual consumption / Size of one order
= 6,400 units / 800 units
= 8 orders
(iii) Time gap between two consecutive orders = 12 months / No. of orders
= 12 months / 8 orders
= 1.5 months
Hi
I have gone through your page Should are doing well I would like you to solve some work for me please
Annual demand 8400 units
Unit price ₹ 2.4
Ordering cost ₹. 4.0
Storage cost ₹ 2%
Interest rate 10% p.a
Lead time 1/2 month
Calculate Re order level