Question Tag: Fixed and Variable Costs

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  • 4 Marks

MA – Nov 2024 – L2 – Q5b – Profit Maximization and Batch Selection

Determination of the optimal number of printer batches to import and sell to maximize profit.

Awuah deals in online business, importing and selling printers. The cost of each set of printers varies depending on the number purchased, although printers can only be purchased in batches of 1,000 units. Awuah also has to pay import taxes which vary according to the quantity purchased. Awuah has already carried out some market research and identified that sales quantities are expected to vary depending on the price charged.

The following data has been established for the first month:

Number of Batches Imported and Sold Average Cost per Unit (Including Import Taxes) (GH¢) Total Fixed Costs per Month (GH¢) Expected Selling Price per Unit (GH¢)
1 10.00 10,000 20
2 8.80 10,000 18
3 7.80 12,000 16
4 6.40 12,000 13

Required:

Determine the number of batches of printers Awuah should import and sell to maximize profit.

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  • 20 Marks

IMAC – DEC 2022 – L1 – Q5 – Cost Segregation and Estimation | Cost-Volume-Profit (CVP) Analysis

Estimation of fixed and variable costs using linear regression and discussion of assumptions underlying Cost-Volume-Profit (CVP) analysis.

a) Total production costs each week in a production department have been measured for the past five weeks, as follows:

Week Units Produced Total Cost (GH¢000)
1 5 20
2 9 27
3 4 17
4 5 19
5 6 23

Required:
i) Use linear regression analysis to obtain an estimate of fixed costs per week and the variable cost of production per unit (see formula table). (8 marks)
ii) Use your results to estimate total costs in a week when 8 units are produced. (3 marks)
iii) Explain why the regression analysis method of separating cost is considered more accurate than the high-low method. (4 marks)

b) The cost-volume-profit (CVP) analysis, also commonly known as breakeven analysis, looks to determine the breakeven point for different sales volumes and cost structures, which can be useful for managers making short-term business decisions. For CVP analysis to be effective, several assumptions are usually made.

Required:
State FOUR (4) assumptions underlying cost-volume-profit (CVP) analysis. (5 marks)

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  • 4 Marks

MA – Nov 2024 – L2 – Q5b – Profit Maximization and Batch Selection

Determination of the optimal number of printer batches to import and sell to maximize profit.

Awuah deals in online business, importing and selling printers. The cost of each set of printers varies depending on the number purchased, although printers can only be purchased in batches of 1,000 units. Awuah also has to pay import taxes which vary according to the quantity purchased. Awuah has already carried out some market research and identified that sales quantities are expected to vary depending on the price charged.

The following data has been established for the first month:

Number of Batches Imported and Sold Average Cost per Unit (Including Import Taxes) (GH¢) Total Fixed Costs per Month (GH¢) Expected Selling Price per Unit (GH¢)
1 10.00 10,000 20
2 8.80 10,000 18
3 7.80 12,000 16
4 6.40 12,000 13

Required:

Determine the number of batches of printers Awuah should import and sell to maximize profit.

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  • 20 Marks

IMAC – DEC 2022 – L1 – Q5 – Cost Segregation and Estimation | Cost-Volume-Profit (CVP) Analysis

Estimation of fixed and variable costs using linear regression and discussion of assumptions underlying Cost-Volume-Profit (CVP) analysis.

a) Total production costs each week in a production department have been measured for the past five weeks, as follows:

Week Units Produced Total Cost (GH¢000)
1 5 20
2 9 27
3 4 17
4 5 19
5 6 23

Required:
i) Use linear regression analysis to obtain an estimate of fixed costs per week and the variable cost of production per unit (see formula table). (8 marks)
ii) Use your results to estimate total costs in a week when 8 units are produced. (3 marks)
iii) Explain why the regression analysis method of separating cost is considered more accurate than the high-low method. (4 marks)

b) The cost-volume-profit (CVP) analysis, also commonly known as breakeven analysis, looks to determine the breakeven point for different sales volumes and cost structures, which can be useful for managers making short-term business decisions. For CVP analysis to be effective, several assumptions are usually made.

Required:
State FOUR (4) assumptions underlying cost-volume-profit (CVP) analysis. (5 marks)

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