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(a)
Concept introduction:
Contribution Margin:
The margin of profit which is computed after considering the variable cost only and not the fixed cost is known as contribution. In other words, it means the contribution made by selling the product after covering its variable cost to the company.
The weighted contribution margin per unit if the product mix is changed to
Answer to Problem 19E
The weighted contribution margin per unit is
Explanation of Solution
As the product mix is changed to
So, the weighted contribution margin is calculated as:
(b)
Concept introduction:
Breakeven Point:
The level of sales where the company is neither on profit nor loss is termed as breakeven point. In other words, that level of sales at which the fixed cost of the business is recovered.
The breakeven point if the fixed cost is
Answer to Problem 19E
The breakeven point for Lens A is
Explanation of Solution
As the product mix is changed to
So, the weighted contribution margin is calculated as:
The break-even point in units is calculated as:
Now, this breakeven sale will be divided into the products. Lens A, Lens B, and Lens C in their respective percentage of sale.
The Breakeven sale for each product is:
(c)
Concept introduction:
Target Profit:
The target profit is that profit which a company decides to achieve and this analysis helps in determinig the level of sales by which this target can be achieved.
The total sale units to achieve target profit of
Answer to Problem 19E
The target sale point for Lens A is
Explanation of Solution
As the product mix is changed to
So, the weighted contribution margin is calculated as:
The number units to be sold for achieving the target profit are calculated as:
Now, this breakeven sale will be divided into the products. Lens A, Lens B, and Lens C in their respective percentage of sale.
The Breakeven sale for each product is:
(d)
Concept introduction:
Contribution Margin:
The margin of profit which is computed after considering the variable cost only and not the fixed cost is known as contribution. In other words, it means the contribution made by selling the product after covering its variable cost to the company.
The reason for the difference in the results due to change in the product mix.
Answer to Problem 19E
The reason for the difference is the change in the weighted contribution margin due to the change in the product mix which changes the proportion of one product to the total sales.
Explanation of Solution
The reason for the difference in the results is due to change in product mix which changes the proportion of one product sale to the total sale.
This is because when the product mix has higher proportion of that product which has higher contribution then the overall weighted contribution also increases which leads to lower breakeven sales point. On the other hand, when the product mix has lower proportion of that product which has higher contribution then the overall weighted contribution also decreases which leads to higher breakeven sales point.
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Chapter 6 Solutions
Managerial Accounting
- Manatoah Manufacturing produces 3 models of window air conditioners: model 101, model 201, and model 301. The sales price and variable costs for these three models are as follows: The current product mix is 4:3:2. The three models share total fixed costs of $430,000. Calculate the sales price per composite unit. What is the contribution margin per composite unit? Calculate Manatoahs break-even point in both dollars and units. Using an income statement format, prove that this is the break-even point.arrow_forwardKlamath Company produces a single product. The projected income statement for the coming year is as follows: Required: 1. Compute the unit contribution margin and the units that must be sold to break even. 2. Suppose 10,000 units are sold above break-even. What is the operating income? 3. Compute the contribution margin ratio. Use the contribution margin ratio to compute the break-even point in sales revenue. (Note: Round the contribution margin ratio to four decimal places, and round the sales revenue to the nearest dollar.) Suppose that revenues are 200,000 more than expected for the coming year. What would the total operating income be?arrow_forwardA company has prepared the following statistics regarding its production and sales at different capacity levels. Total costs: 1. At what point is break-even reached in sales dollars? In units? (Hint: Use the capacity level to determine the number of units.) 2. If the company is operating at 60% capacity, should it accept an offer from a customer to buy 10,000 units at 3 per unit?arrow_forward
- Manufacturing builds and sells switch harnesses for glove boxes. The sales price and variable cost for each follows: Their sales mix is reflected in the ratio 4:4:1. If annual fixed costs shared by the three products are $1 8840 how many units of each product will need to be sold in order forJj to break even?arrow_forwardAbilene Industries manufactures and sells three products (XX, W, and ZZ). The sales price and unit variable cost for the three products are as follows: Their sales mix is reflected as a ratio of 4:2:1. Annual fixed costs shared by the three products are $345.000 per year. What are total variable costs for Abilene with their current product mix? Calculate the number of units of each product that will need to be sold in order for Abilene to break even. What is their break-even point in sales dollars? Using an income statement format, prove that this is the break-even point.arrow_forwardMorris Industries manufactures and sells three products (AA, BB, and CC). The sales price and unit variable cost for the three products are as follows: Their sales mix s reflected as a ratio of 5:3:2. Annual fixed costs shared by the three products are $25,000 per year. What are total variable costs for Morris with their current product mix? Calculate the number of units of each product that will need to be sold in order for Morris to break even. What is their break-even point in sales dollars? Using an income statement format, prove that this is the break-even point.arrow_forward
- The sales price per unit is 13 for the Voyageur Companys only product. The variable cost per unit is 5. In 2016, the company sold 80,000 units, which was 10,000 units above the break-even point. Compute the following: 1. Total fixed expenses. (Hint: First compute the contribution margin per unit.) 2. Total variable expense at the break-even volume.arrow_forwardFaldo Company produces a single product. The projected income statement for the coming year, based on sales of 200,000 units, is as follows: Required: 1. Compute the unit contribution margin and the units that must be sold to break even. Suppose that 30,000 units are sold above the break-even point. What is the profit? 2. Compute the contribution margin ratio and the break-even point in dollars. Suppose that revenues are 200,000 greater than expected. What would the total profit be? 3. Compute the margin of safety in sales revenue. 4. Compute the operating leverage. Compute the new profit level if sales are 20 percent higher than expected. 5. How many units must be sold to earn a profit equal to 10 percent of sales? 6. Assume the income tax rate is 40 percent. How many units must be sold to earn an after-tax profit of 180,000?arrow_forwardSalvador Manufacturing builds and sells snowboards, skis and poles. The sales price and variable cost for each follows: Their sales mix is reflected in the ratio 7:3:2. If annual fixed costs shared by the three products are $196,200, how many units of each product will need to be sold in order for Salvador to break even?arrow_forward
- 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.arrow_forwardGarrett Company provided the following information: Common fixed cost totaled 46,000. Garrett allocates common fixed cost to Product 1 and Product 2 on the basis of sales. If Product 2 is dropped, which of the following is true? a. Sales will increase by 300,000. b. Overall operating income will increase by 2,600. c. Overall operating income will decrease by 25,000. d. Overall operating income will not change. e. Common fixed cost will decrease by 27,600.arrow_forwardA company sells two products, Model 101 and Model 202. For every one unit of Model 101, they sell they sell two units of Model 202. Sales and cost information for the two products is shown. What is the contribution margin for a composite unit based on the sales mix? $14 $21 $35 $56arrow_forward
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