Topic: Inventory Management

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MI – Nov 2022 – L1 – SA – Q4 – Inventory Management

Calculation of Economic Order Quantity (EOQ) using given data

What is the approximate Economic Order Quantity (EOQ) using the following data?
Annual consumption: 30,000 units
Ordering cost: ₦1,000
Purchase price: ₦20 per unit
Carrying cost: 5%

A. 7,746
B. 7,784
C. 7,858
D. 7,900
E. 7,943

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MI – Nov 2022 – L1 – SA – Q3 – Inventory Management

Calculation of re-order level based on weekly consumption and delivery time

Calculate the re-order level where consumption per week is 500-600 units, delivery time is 14-28 days:
A. 12,000
B. 12,500
C. 14,500
D. 15,000
E. 16,800

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FM – May 2021 – L2 – Q5b – Inventory Management

Evaluate whether the company should continue using a bank loan to finance inventory purchases and take advantage of early payment discounts.

Would you advise the company to continue to take the bank loan to pay for the cost of
inventory purchases within the discount period to enjoy the supplier’s early settlement
discount? Support your answer with relevant computations.

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FM – May 2021 – L2 – Q5a – Inventory Management

Calculate the Economic Order Quantity (EOQ) and related inventory costs for Adom Furniture Ltd.

a) Adom Furniture Ltd is a reputable producer of office desks. A key material that is used in the production of office desks is processed wood boards. The company produces 200,000 units of office desks annually. The production of one unit of office desk requires three units of the processed wood board. The current production level and requirements will apply going forward.

Currently, the company buys 100,000 units of the processed wood board whenever it runs out of wood. The cost price of a processed wood board is GH¢120. It costs GH¢1,000 to place an order to replenish the inventory of processed wood board. On average, it costs GH¢10 to hold one processed wood board per annum.

The company has been financing each round of inventory purchase with short-term borrowing from a bank. The loan is typically granted for three months at an annual nominal interest rate of 24%. The bank charges a loan processing fee of 1.5% of the principal, which is paid upfront. The local distributor of the processed wood board is now willing to sell the product on credit terms 2/10 net 30.

Required:

i) Compute the optimal quantity of the processed wood board the company should order whenever it places an order. (3 marks)

ii) Compute the optimal number of orders to place. (2 marks)

iii) Compute the average costs associated with the current purchase plan of 100,000 units per order and the cost if the optimal quantity is ordered instead. (4 marks)

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FM – NOV 2016 – L2 – Q5 – Inventory Management

Determines the cost-minimizing order size, calculates the cost of debenture, analyzes the cost of a discount offered to customers, and computes results of a Forward Rate Agreement.

a) The annual demand for Praise Limited’s inventory is 10,500 units. The item costs GH¢400 a unit to purchase. The holding cost for one unit for one year is 12% of the unit cost, and ordering costs are GH¢450 per order. The supplier offers a 2% discount for orders of 700 units or more and a discount of 3% for orders of 950 units or more.

Required:
Determine the cost-minimizing order size of the company. (8 marks)

b) Five years ago, Gasoto Ltd. issued 12 percent irredeemable debentures at their par value of GH¢100. The current market price of these debentures is GH¢94. The company pays corporation tax at a rate of 30 percent.

Required:
Calculate the company’s current cost of debenture. (3 marks)

c) Zeb Limited offers 2 percent discount to its customers who pay within ten (10) days. The company normally collects its debt within thirty (30) days. Assume 365 days in a year.

Required:
Determine the cost of the discount to the company. (3 marks)

d) Brothers Limited enters into a forward rate agreement (FRA) with Bank of Frica in which Brothers Limited will receive a fixed rate of 8% for nine (9) months on a loan of GH¢1 million. Bank of Frica agrees to receive a nine (9) months LIBOR rate to be determined in nine (9) months’ time on the loan principal.

Required:
Determine the results of the FRA and the effective loan rate if the spot rate for the LIBOR in nine (9) months is:
i) 5%
ii) 10% (6 marks)

 

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FM – Nov 2019 – L2 – Q5 – Inventory Management | Working Capital Management

Explain the impact of different working capital policies on profitability and liquidity, calculate profit under different credit policies, and explain reasons and costs associated with holding stock.

a) In driving the profitability and liquidity position of an organization in the current local and global business environment, one area that has become the center of focus or attention to Management is how working capital is managed. Aggressive, moderate, and conservative policies to working capital management have implications on the profitability and liquidity positions of the organization.

Required:
In the light of the above, explain and demonstrate the impact of each of the policies below on profitability and liquidity:
i) Aggressive Working Capital Management (2 marks)
ii) Moderate Working Capital Management (2 marks)
iii) Conservative Working Capital Management (2 marks)

b) Taaba Oil Ghana Ltd is an Oil Marketing Company operating in the downstream sector of the Oil and Gas industry in Ghana. The company initially was offering 4 weeks credit to its retailers until it changed its strategy to reduce the credit period from 4 weeks to 2 weeks to manage down its financing cost and bad debt.

Under the 4 weeks credit regime, annual credit sales were 500 million liters. The profit made per liter before financing charges and bad debt was GH¢0.20. The total working capital was GH¢250 million, but 50% was funded through trade credit and the remaining 50% was through Bank Overdraft at an interest rate of 25% per annum. The cost of trade credit was already factored into the margin. Bad debt was GH¢0.01 per liter of the credit sales.

The change in policy from 4 weeks to 2 weeks was done immediately without prior advance discussion and notice period granted to retailers who were also selling on credit to their customers.

After operating the new credit policy, the volume of sales was negatively impacted as sales volume per annum dropped by 25% and bad debts increased by 100% due to pressure on the working capital of the retailers. As the new Finance Manager for Taaba Oil Ghana Ltd, you are tasked to review this policy.

Required:
i) Calculate the profit under the old policy. (4 marks)
ii) Calculate the profit under the new policy. (4 marks)
iii) Based on your calculations above, advise management whether to revert to the old policy or maintain the new policy. (1 mark)

c) Holding stock and sometimes over-stocking come at a great cost to a company. Notwithstanding these costs, it is sometimes necessary to hold stock or even overstock for the smooth running of the company.

Required:
i) Explain TWO (2) reasons for holding stock. (2 marks)
ii) State and explain THREE (3) costs associated with holding stocks. (3 marks)

 

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FM – Nov 2017 – L2 – Q4b – Inventory Management

Calculate the Economic Order Quantity (EOQ), total inventory costs, and the number of orders per year for a manufacturing company.

Asuo Ltd manufactures only one product, planks. The single raw material used in making planks is the dint. For each plank manufactured, twelve dints are required. The company manufactures 150,000 planks per year, and demand for planks is perfectly steady throughout the year. It costs GH¢200 each time dints are ordered, and the carrying costs are GH¢8 per dint per year.

Required:
i) Determine the Economic Order Quantity (EOQ) of dints. (3 marks)
ii) What are the total inventory costs for Asuo (carrying costs plus ordering costs)? (2 marks)
iii) How many times per year would inventory be ordered? (2 marks)

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IMAC – AUG 2022 – L1 – Q4 – Inventory Management

Calculation of cost of goods issued and closing inventory using the weighted average method, and identification of causes for material and labour cost variances.

Question: a) The following extracts are from the books of Bediako Enterprise in the month of February:

Date Description Units Per unit cost (GH¢)
01 Receipts 400 42
04 Receipts 700 45
07 Issue 450
10 Receipts 600 48
14 Issue 700
20 Receipts 1,200 50

Required: Using the Weighted Average Method;

i) Calculate the cost of goods issued to Cost of Sales. (3 marks)

ii) Compute the value of closing inventory. (12 marks)

b) Identify TWO (2) possible causes for each of the following variances:

i) Material cost variance.

ii) Labour cost variance. (5 marks)

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MI – Nov 2022 – L1 – SA – Q4 – Inventory Management

Calculation of Economic Order Quantity (EOQ) using given data

What is the approximate Economic Order Quantity (EOQ) using the following data?
Annual consumption: 30,000 units
Ordering cost: ₦1,000
Purchase price: ₦20 per unit
Carrying cost: 5%

A. 7,746
B. 7,784
C. 7,858
D. 7,900
E. 7,943

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MI – Nov 2022 – L1 – SA – Q3 – Inventory Management

Calculation of re-order level based on weekly consumption and delivery time

Calculate the re-order level where consumption per week is 500-600 units, delivery time is 14-28 days:
A. 12,000
B. 12,500
C. 14,500
D. 15,000
E. 16,800

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FM – May 2021 – L2 – Q5b – Inventory Management

Evaluate whether the company should continue using a bank loan to finance inventory purchases and take advantage of early payment discounts.

Would you advise the company to continue to take the bank loan to pay for the cost of
inventory purchases within the discount period to enjoy the supplier’s early settlement
discount? Support your answer with relevant computations.

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You're reporting an error for "FM – May 2021 – L2 – Q5b – Inventory Management"

FM – May 2021 – L2 – Q5a – Inventory Management

Calculate the Economic Order Quantity (EOQ) and related inventory costs for Adom Furniture Ltd.

a) Adom Furniture Ltd is a reputable producer of office desks. A key material that is used in the production of office desks is processed wood boards. The company produces 200,000 units of office desks annually. The production of one unit of office desk requires three units of the processed wood board. The current production level and requirements will apply going forward.

Currently, the company buys 100,000 units of the processed wood board whenever it runs out of wood. The cost price of a processed wood board is GH¢120. It costs GH¢1,000 to place an order to replenish the inventory of processed wood board. On average, it costs GH¢10 to hold one processed wood board per annum.

The company has been financing each round of inventory purchase with short-term borrowing from a bank. The loan is typically granted for three months at an annual nominal interest rate of 24%. The bank charges a loan processing fee of 1.5% of the principal, which is paid upfront. The local distributor of the processed wood board is now willing to sell the product on credit terms 2/10 net 30.

Required:

i) Compute the optimal quantity of the processed wood board the company should order whenever it places an order. (3 marks)

ii) Compute the optimal number of orders to place. (2 marks)

iii) Compute the average costs associated with the current purchase plan of 100,000 units per order and the cost if the optimal quantity is ordered instead. (4 marks)

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FM – NOV 2016 – L2 – Q5 – Inventory Management

Determines the cost-minimizing order size, calculates the cost of debenture, analyzes the cost of a discount offered to customers, and computes results of a Forward Rate Agreement.

a) The annual demand for Praise Limited’s inventory is 10,500 units. The item costs GH¢400 a unit to purchase. The holding cost for one unit for one year is 12% of the unit cost, and ordering costs are GH¢450 per order. The supplier offers a 2% discount for orders of 700 units or more and a discount of 3% for orders of 950 units or more.

Required:
Determine the cost-minimizing order size of the company. (8 marks)

b) Five years ago, Gasoto Ltd. issued 12 percent irredeemable debentures at their par value of GH¢100. The current market price of these debentures is GH¢94. The company pays corporation tax at a rate of 30 percent.

Required:
Calculate the company’s current cost of debenture. (3 marks)

c) Zeb Limited offers 2 percent discount to its customers who pay within ten (10) days. The company normally collects its debt within thirty (30) days. Assume 365 days in a year.

Required:
Determine the cost of the discount to the company. (3 marks)

d) Brothers Limited enters into a forward rate agreement (FRA) with Bank of Frica in which Brothers Limited will receive a fixed rate of 8% for nine (9) months on a loan of GH¢1 million. Bank of Frica agrees to receive a nine (9) months LIBOR rate to be determined in nine (9) months’ time on the loan principal.

Required:
Determine the results of the FRA and the effective loan rate if the spot rate for the LIBOR in nine (9) months is:
i) 5%
ii) 10% (6 marks)

 

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FM – Nov 2019 – L2 – Q5 – Inventory Management | Working Capital Management

Explain the impact of different working capital policies on profitability and liquidity, calculate profit under different credit policies, and explain reasons and costs associated with holding stock.

a) In driving the profitability and liquidity position of an organization in the current local and global business environment, one area that has become the center of focus or attention to Management is how working capital is managed. Aggressive, moderate, and conservative policies to working capital management have implications on the profitability and liquidity positions of the organization.

Required:
In the light of the above, explain and demonstrate the impact of each of the policies below on profitability and liquidity:
i) Aggressive Working Capital Management (2 marks)
ii) Moderate Working Capital Management (2 marks)
iii) Conservative Working Capital Management (2 marks)

b) Taaba Oil Ghana Ltd is an Oil Marketing Company operating in the downstream sector of the Oil and Gas industry in Ghana. The company initially was offering 4 weeks credit to its retailers until it changed its strategy to reduce the credit period from 4 weeks to 2 weeks to manage down its financing cost and bad debt.

Under the 4 weeks credit regime, annual credit sales were 500 million liters. The profit made per liter before financing charges and bad debt was GH¢0.20. The total working capital was GH¢250 million, but 50% was funded through trade credit and the remaining 50% was through Bank Overdraft at an interest rate of 25% per annum. The cost of trade credit was already factored into the margin. Bad debt was GH¢0.01 per liter of the credit sales.

The change in policy from 4 weeks to 2 weeks was done immediately without prior advance discussion and notice period granted to retailers who were also selling on credit to their customers.

After operating the new credit policy, the volume of sales was negatively impacted as sales volume per annum dropped by 25% and bad debts increased by 100% due to pressure on the working capital of the retailers. As the new Finance Manager for Taaba Oil Ghana Ltd, you are tasked to review this policy.

Required:
i) Calculate the profit under the old policy. (4 marks)
ii) Calculate the profit under the new policy. (4 marks)
iii) Based on your calculations above, advise management whether to revert to the old policy or maintain the new policy. (1 mark)

c) Holding stock and sometimes over-stocking come at a great cost to a company. Notwithstanding these costs, it is sometimes necessary to hold stock or even overstock for the smooth running of the company.

Required:
i) Explain TWO (2) reasons for holding stock. (2 marks)
ii) State and explain THREE (3) costs associated with holding stocks. (3 marks)

 

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FM – Nov 2017 – L2 – Q4b – Inventory Management

Calculate the Economic Order Quantity (EOQ), total inventory costs, and the number of orders per year for a manufacturing company.

Asuo Ltd manufactures only one product, planks. The single raw material used in making planks is the dint. For each plank manufactured, twelve dints are required. The company manufactures 150,000 planks per year, and demand for planks is perfectly steady throughout the year. It costs GH¢200 each time dints are ordered, and the carrying costs are GH¢8 per dint per year.

Required:
i) Determine the Economic Order Quantity (EOQ) of dints. (3 marks)
ii) What are the total inventory costs for Asuo (carrying costs plus ordering costs)? (2 marks)
iii) How many times per year would inventory be ordered? (2 marks)

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IMAC – AUG 2022 – L1 – Q4 – Inventory Management

Calculation of cost of goods issued and closing inventory using the weighted average method, and identification of causes for material and labour cost variances.

Question: a) The following extracts are from the books of Bediako Enterprise in the month of February:

Date Description Units Per unit cost (GH¢)
01 Receipts 400 42
04 Receipts 700 45
07 Issue 450
10 Receipts 600 48
14 Issue 700
20 Receipts 1,200 50

Required: Using the Weighted Average Method;

i) Calculate the cost of goods issued to Cost of Sales. (3 marks)

ii) Compute the value of closing inventory. (12 marks)

b) Identify TWO (2) possible causes for each of the following variances:

i) Material cost variance.

ii) Labour cost variance. (5 marks)

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