Compute the break-even point for a single-product company.
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- Contribution margin, break-even sales, cost-volume-profit chart, margin of safety, and operating leverage Belmain Co. expects to maintain the same inventories at the end of 20Y7 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows: It is expected that 12,000 units will be sold at a price of 240 a unit. Maximum sales within the relevant range are 18,000 units. Instructions 1. Prepare an estimated income statement for 20Y7. 2. What is the expected contribution margin ratio? 3. Determine the break-even sales in units and dollars. 4. Construct a cost-volume-profit chart indicating the break-even sales. 5. What is the expected margin of safety in dollars and as a percentage of sales? (Round to one decimal place.) 6. Determine the operating leverage.Break-even for a multiple product firm. can be calculated by dividing total fixed costs by the contribution margin of a composite unit can be calculated by multiplying fixed costs by the contribution margin ratio of a composite unit can only be calculated when the proportion of products sold is the same for all products can be calculated by multiplying fixed costs by the contribution margin ratio of the most common product in the sales mixGrand Canyon Manufacturing Inc. produces and sells a product with a price of 100 per unit. The following cost data have been prepared for its estimated upper and lower limits of activity: Overhead: Selling and administrative expenses: Required: 1. Classify each cost element as either variable, fixed, or semi-variable. (Hint: Recall that variable expenses must go up in direct proportion to changes in the volume of activity.) 2. Calculate the break-even point in units and dollars. (Hint: First use the high-low method illustrated in Chapter 4 to separate costs into their fixed and variable components.) 3. Prepare a break-even chart. 4. Prepare a contribution income statement, similar in format to the statement appearing on page 540, assuming sales of 5,000 units. 5. Recompute the break-even point in units, assuming that variable costs increase by 20% and fixed costs are reduced by 50,000.
- To determine the effect of different levels of production on the company’s income, move to cell B7 (Actual production). Change the number in B7 to the different production levels given in the table below. The first level, 100,000, is the current level. What happens to the operating income on both statements as production levels change? Enter the operating incomes in the following table. Does the level of production affect income under either costing method? Explain your findings.Contribution Margin Ratio, Break-Even Sales, Operating Leverage Elgart Company produces plastic mailboxes. The projected income statement for the coming year follows: Required: 1. Compute the contribution margin ratio for the mailboxes. 2. How much revenue must Elgart earn in order to break even? 3. What is the effect on the contribution margin ratio if the unit selling price and unit variable cost each increase by 15%? 4. CONCEPTUAL CONNECTION Suppose that management has decided to give a 4% commission on all sales. The projected income statement does not reflect this commission. Recompute the contribution margin ratio, assuming that the commission will be paid. What effect does this have on the break-even point? 5. CONCEPTUAL CONNECTION If the commission is paid as described in Requirement 4, management expects sales revenues to increase by 80,000. How will this affect operating leverage? Is it a sound decision to implement the commission? Support your answer with appropriate computations.Sales Revenue Approach, Variable Cost Ratio, Contribution Margin Ratio Arberg Companys controller prepared the following budgeted income statement for the coming year: Required: 1. What is Arbergs variable cost ratio? What is its contribution margin ratio? 2. Suppose Arbergs actual revenues are 30,000 more than budgeted. By how much will operating income increase? Give the answer without preparing a new income statement 3. How much sales revenue must Arberg earn to break even? Prepare a contribution margin income statement to verify the accuracy of your answer. 4. What is Arbergs expected margin of safety? 5. What is Arbergs margin of safety if sales revenue is 380,000?