1. Compute (a) last year's CM ratio and the break-even point in balls, and (b) the degree of operating leverage at last year's sales level. 2. Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $3.00 per ball. If this change takes place and the selling price per ball remains constant at $25.00, what will be next year's CM ratio and the break-even point in balls? 3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold next year to earn the same net operating income, $187,000, as last year?
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.
![Northwood Company manufactures basketballs. The company has a ball that sells for $25. At present, the ball is manufactured
in a small plant that relies heavily on direct labor workers. Thus, variable expenses are high, totaling $15.00 per ball, of which
60% is direct labor cost.
Last year, the company sold 56,000 of these balls, with the following results:
Sales (56,000 balls)
Variable expenses
Contribution margin
Fixed expenses
$ 1,400,000
840,000
560,000
373,000
Net operating income
$ 187,000
Required:
1. Compute (a) last year's CM ratio and the break-even point in balls, and (b) the degree of operating leverage at last year's sales
level.
2. Due to an increase in labor rates, the company estimates that next year's variable expenses will increase by $3.00 per ball. If
this change takes place and the selling price per ball remains constant at $25.00, what will be next year's CM ratio and the
break-even point in balls?
3. Refer to the data in (2) above. If the expected change in variable expenses takes place, how many balls will have to be sold
next year to earn the same net operating income, $187,000, as last year?
4. Refer again to the data in (2) above. The president feels that the company must raise the selling price of its basketballs. If
Northwood Company wants to maintain the same CM ratio as last year (as computed in requirement la), what selling price per
ball must it charge next year to cover the increased labor costs?
5. Refer to the original data. The company is discussing the construction of a new, automated manufacturing plant. The new
plant would slash variable expenses per ball by 40.00%, but it would cause fixed expenses per year to double. If the new plant is
built, what would be the company's new CM ratio and new break-even point in balls?
6. Refer to the data in (5) above.
a. If the new plant is built, how many balls will have to be sold next year to earn the same net operating income, $187,000, as
last year?
b. Assume the new plant is built and that next year the company manufactures and sells 56,000 balls (the same number as
sold last year). Prepare a contribution format income statement and compute the degree of operating leverage.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa00ebaa-23b9-4b28-a7ce-1aeaaf3b9d34%2Fc2055827-8105-4f86-bf8a-b870b2ba8ece%2Fi70oyty9_processed.png&w=3840&q=75)
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