Thomas and Theresa work for a company that receives $75 for each unit of output sold. The company has a variable cost of $30 per item and a fixed cost of $12,000. Based on this information, Thomas and Theresa make some projections about potential profit. Thomas states that for every 500 units of output sold, the company will make $11,000 in profit. Theresa states that for every 800 units of output sold, the company will make $24,000 in profit. Determine a function that models the profit for the company based upon the conditions for revenue and expense. Are the claims about profit that Thomas and Theresa made true? Explain why Thomas and Theresa are each correct or incorrect and justify your reasoning.
Cost-Volume-Profit Analysis
Cost Volume Profit (CVP) analysis is a cost accounting method that analyses the effect of fluctuating cost and volume on the operating profit. Also known as break-even analysis, CVP determines the break-even point for varying volumes of sales and cost structures. This information helps the managers make economic decisions on a short-term basis. CVP analysis is based on many assumptions. Sales price, variable costs, and fixed costs per unit are assumed to be constant. The analysis also assumes that all units produced are sold and costs get impacted due to changes in activities. All costs incurred by the company like administrative, manufacturing, and selling costs are identified as either fixed or variable.
Marginal Costing
Marginal cost is defined as the change in the total cost which takes place when one additional unit of a product is manufactured. The marginal cost is influenced only by the variations which generally occur in the variable costs because the fixed costs remain the same irrespective of the output produced. The concept of marginal cost is used for product pricing when the customers want the lowest possible price for a certain number of orders. There is no accounting entry for marginal cost and it is only used by the management for taking effective decisions.
Thomas and Theresa work for a company that receives $75 for each unit of output sold. The company has a variable cost of $30 per item and a fixed cost of $12,000.
Based on this information, Thomas and Theresa make some projections about potential profit.
Thomas states that for every 500 units of output sold, the company will make $11,000 in profit.
Theresa states that for every 800 units of output sold, the company will make $24,000 in profit.
Determine a function that models the profit for the company based upon the conditions for revenue and expense.
Are the claims about profit that Thomas and Theresa made true? Explain why Thomas and Theresa are each correct or incorrect and justify your reasoning.
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