A firm manufactures a product that sells for $16 per unit. Variable cost per unit is $8 and fixed cost per period is $1760 Capacity per period is 1400 units (a) Develop an algebraic statement for the revenue function and the cost function (b) Determine the number of units required to be sold to break even. (c) Compute the break-even point as a percent of capacity
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.
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A firm manufactures a product that sells for $16 per unit. Variable cost per unit is $8 and fixed cost per period is $1760 Capacity per period is 1400 units (a) Develop an algebraic statement for the revenue function and the cost function (b) Determine the number of units required to be sold to break even. (c) Compute the break-even point as a percent of capacity (d) Compute the break-even point in sales dollars (a) The revenue function is TR= (Type an expression using x as the variable Do not inciude the $ symbol in your answer) The cost function is TC (Type an expression using x as the variable Do not includo the $ symbol in your answer) (b) The number of units required to be sold to break even is units (Round up to the nearest whole number) (c) The break-even point as a porcent of capacity is% (Round to two decimal places as needed.) (d) The break-even point in sales dollars is $ (Round to the nearest cent as needed.)
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