Pricing, Break-Even, and Margin Analysis

Pricing Considerations

Determining price is one of the most important marketing-mix decisions. The limiting factors are demand and costs. Demand factors, such as buyer-perceived value, set the price ceiling. The company’s costs set the price floor. In between these two factors, marketers must consider competitors’ prices and other factors such as reseller requirements, government regulations, and company objectives.

Most current competing internet streaming products sell at retail prices between $100 and $500. We first consider HD’s pricing decision from a cost perspective. Then, we consider consumer value, the competitive environment, and reseller requirements.

Determining Costs

Recall from Chapter 10 that there are different types of costs. Fixed costs do not vary with production or sales level and include costs such as rent, interest, depreciation, and clerical and management salaries. Regardless of the level of output, the company must pay these costs. Whereas total fixed costs remain constant as output increases, the fixed cost per unit (or average fixed cost) will decrease as output increases because the total fixed costs are spread across more units of output. Variable costs vary directly with the level of production and include costs related to the direct production of the product (such as costs of goods sold—COGS) and many of the marketing costs associated with selling it. Although these costs tend to be uniform for each unit produced, they are called variable because their total varies with the number of units produced. Total costs are the sum of the fixed and variable costs for any given level of production.

HD has invested $10 million in refurbishing an existing facility to manufacture the new video streaming product. Once production begins, the company estimates that it will incur fixed costs of $20 million per year. The variable cost to produce each device is estimated to be $125 and is expected to remain at that level for the output capacity of the facility.

Setting Price Based on Costs

HD starts with the cost-based approach to pricing discussed in Chapter 10. Recall that the simplest method, cost-plus pricing (or markup pricing), simply adds a standard markup to the cost of the product. To use this method, however, HD must specify expected unit sales so that total unit costs can be determined. Unit variable costs will remain constant regardless of the output, but average unit fixed costs will decrease as output increases.

To illustrate this method, suppose HD has fixed costs of $20 million, and variable costs of $125 per unit and expects unit sales of 1 million players. Thus, the cost per unit is given by:

Unitcost=variablecost+fixedcostsunitsales=$125+ $20,000,0001,000,000=$145

Note that we do not include the initial investment of $10 million in the total fixed cost figure. It is not considered a fixed cost because it is not a relevant cost. Relevant costs are those that will occur in the future and that will vary across the alternatives being considered. HD’s investment to refurbish the manufacturing facility was a one-time cost that will not reoccur in the future. Such past costs are sunk costs and should not be considered in future analyses.

Also notice that if HD sells its product for $145, the price is equal to the total cost per unit. This is the break-even price—the price at which unit revenue (price) equals unit cost and profit is zero.

Suppose HD does not want to merely break even but rather wants to earn a 25% markup on sales. HD’s markup price is:i

Markupprice=unitcost(1desiredreturnonsales)=$1451.25=$193.33

This is the price at which HD would sell the product to resellers such as wholesalers or retailers to earn a 25% profit on sales.

Another approach HD could use is called return on investment (ROI) pricing (or target-return pricing). In this case, the company would consider the initial $10 million investment, but only to determine the dollar profit goal. Suppose the company wants a 30% return on its investment. The price necessary to satisfy this requirement can be determined by:

ROIprice=unitcost+ROI×investmentunitsales=$145+0.3×$10,000,0001,000,000=$148

That is, if HD sells its product for $148, it will realize a 30% return on its initial investment of $10 million.

In these pricing calculations, unit cost is a function of the expected sales, which were estimated to be 1 million units. But what if actual sales were lower? Then the unit cost would be higher because the fixed costs would be spread over fewer units, and the realized percentage markup on sales or ROI would be lower. Alternatively, if sales are higher than the estimated 1 million units, unit cost would be lower than $145, so a lower price would produce the desired markup on sales or ROI. It’s important to note that these cost-based pricing methods are internally focused and do not consider demand, competitors’ prices, or reseller requirements. Because HD will be selling this product to consumers through wholesalers and retailers offering competing brands, the company must consider markup pricing from this perspective.

Setting Price Based on External Factors

Whereas costs determine the price floor, HD also must consider external factors when setting price. HD does not have the final say concerning the final price of its product to consumers—retailers do. So it must start with its suggested retail price and work back. In doing so, HD must consider the markups required by resellers that sell the product to consumers.

In general, a dollar markup is the difference between a company’s selling price for a product and its cost to manufacture or purchase it. For a retailer, then, the markup is the difference between the price it charges consumers and the cost the retailer must pay for the product. Thus, for any level of reseller:

Dollarmarkup=sellingpricecost

Markups are usually expressed as a percentage, and there are two different ways to compute markups—on cost or on selling price:

Markuppercentageoncost=dollarmarkupcost
Markuppercentageonsellingprice=dollarmarkupsellingprice

To apply reseller margin analysis, HD must first set the suggested retail price and then work back to the price at which it must sell the product to a wholesaler. Suppose retailers expect a 30% margin and wholesalers want a 20% margin based on their respective selling prices. And suppose that HD sets a manufacturer’s suggested retail price (MSRP) of $299.99 for its product.

HD selected the $299.99 MSRP because it is lower than most competitors’ prices but is not so low that consumers might perceive it to be of poor quality. And the company’s research shows that it is below the threshold at which more consumers are willing to purchase the product. By using buyers’ perceptions of value and not the seller’s cost to determine the MSRP, HD is using value-based pricing. For simplicity, we will use an MSRP of $300 in further analyses.

To determine the price HD will charge wholesalers, we must first subtract the retailer’s margin from the retail price to determine the retailer’s cost ($300($300×0.30)=$210). The retailer’s cost is the wholesaler’s price, so HD next subtracts the wholesaler’s margin ($210($210×0.20)=$168). Thus, the markup chain representing the sequence of markups used by firms at each level in a channel for HD’s new product is:

Suggested retail price: $300
minus retail margin (30%):  $90_
Retailer’s cost/wholesaler’s price: $210
minus wholesaler’s margin (20%): $ 42_
Wholesaler’s cost/HD’s price: $168

By deducting the markups for each level in the markup chain, HD arrives at a price for the product to wholesalers of $168.

Break-Even and Margin Analysis

The previous analyses derived a value-based price of $168 for HD’s product. Although this price is higher than the break-even price of $145 and covers costs, that price assumed a demand of 1 million units. But how many units and what level of dollar sales must HD achieve to break even at the $168 price? And what level of sales must be achieved to realize various profit goals? These questions can be answered through break-even and margin analysis.

Determining Break-Even Unit Volume and Dollar Sales

Based on an understanding of costs, consumer value, the competitive environment, and reseller requirements, HD has decided to set its price to wholesalers at $168. At that price, what sales level will be needed for HD to break even or make a profit on its product? Break-even analysis determines the unit volume and dollar sales needed to be profitable given a particular price and cost structure. At the break-even point, total revenue equals total costs and profit is zero. Above this point, the company will make a profit; below it, the company will lose money. HD can calculate break-even volume using the following formula:

Break-evenvolume=fixedcostspriceunitvariablecost

The denominator (priceunit variable cost) is called unit contribution (sometimes called contribution margin). It represents the amount that each unit contributes to covering fixed costs. Break-even volume represents the level of output at which all ­(variable and fixed) costs are covered. In HD’s case, break-even unit volume is:

Break-evenvolume=fixedcostpricevariablecost=$20,000,000$168$125=465,116.2units

Thus, at the given cost and pricing structure, HD will break even at 465,117 units.

To determine the break-even dollar sales, simply multiply unit break-even volume by the selling price:

BEsales=BEvol×price=465,117×$168=$78,139,656

Another way to calculate dollar break-even sales is to use the percentage contribution margin (hereafter referred to as contribution margin), which is the unit contribution divided by the selling price:

Contributionmargin=pricevariablecostprice=$168$125$168=0.256or25.6%

Then,

Break-evensales=fixedcostscontributionmargin=$20,000,0000.256=$78,125,000

Note that the difference between the two break-even sales calculations is due to rounding.

Such break-even analysis helps HD by showing the unit volume needed to cover costs. If production capacity cannot attain this level of output, then the company should not launch this product. However, the unit break-even volume is well within HD’s capacity. Of course, the bigger question concerns whether HD can sell this volume at the $168 price. We’ll address that issue a little later.

Understanding contribution margin is useful in other types of analyses as well, particularly if unit prices and unit variable costs are unknown or if a company (say, a retailer) sells many products at different prices and knows the percentage of total sales variable costs represent. Whereas unit contribution is the difference between unit price and unit variable costs, total contribution is the difference between total sales and total variable costs. The overall contribution margin can be calculated by:

Contributionmargin=totalsalestotalvariablecoststotalsales

Regardless of the actual level of sales, if the company knows what percentage of sales is represented by variable costs, it can calculate contribution margin. For example, HD’s unit variable cost is $125, or 74% of the selling price ($125÷$168=0.74). That means for every $1 of sales revenue for HD, $0.74 represents variable costs, and the difference ($0.26) represents contribution to fixed costs. But even if the company doesn’t know its unit price and unit variable cost, it can calculate the contribution margin from total sales and total variable costs or from knowledge of the total cost structure. It can set total sales equal to 100% regardless of the actual absolute amount and determine the contribution margin:

Contributionmargin=100%74%100%=10.741=10.74=0.26 or 26%

Note that this matches the percentage calculated from the unit price and unit variable cost information. This alternative calculation will be very useful later when analyzing various marketing decisions.

Determining “Breakeven” for Profit Goals

Although it is useful to know the break-even point, most companies are more interested in making a profit. Assume HD would like to realize a $5 million profit in the first year. How many must it sell at the $168 price to cover fixed costs and produce this profit? To determine this, HD can simply add the profit figure to fixed costs and again divide by the unit contribution to determine unit sales:

Unitvolume=fixedcost+profitgoalpricevariablecost=$20,000,000 + $5,000,000$168$125= 581,395.3units

Thus, to earn a $5 million profit, HD must sell 581,396 units. Multiply by price to determine dollar sales needed to achieve a $5 million profit:

Dollarsales=581,396units×$168=$97,674,528

Or use the contribution margin:

Sales=fixedcost+profitgoalcontributionmargin=$20,000,000+$5,000,0000.256=$97,656,250

Again, note that the difference between the two break-even sales calculations is due to rounding.

As we saw previously, a profit goal can also be stated as a return on investment goal. For example, recall that HD wants a 30% return on its $10 million investment. Thus, its absolute profit goal is $3 million ($10,000,000×0.30). This profit goal is treated the same way as in the previous example:ii

Unitvolume=fixedcost+profitgoalpricevariablecost=$20,000,000 + $3,000,000$168$125=534,884units
Dollarsales=534,884units×$168=$89,860,512

Or

Dollarsales=fixedcost+profitgoalcontributionmargin=$20,000,000+$3,000,0000.256=$89,843,750

Finally, HD can express its profit goal as a percentage of sales, which we also saw in previous pricing analyses. Assume HD desires a 25% return on sales. To determine the unit and sales volume necessary to achieve this goal, the calculation is a little different from the previous two examples. In this case, we incorporate the profit goal into the unit contribution as an additional variable cost. Look at it this way: If 25% of each sale must go toward profits, that leaves only 75% of the selling price to cover fixed costs. Thus, the equation becomes:

Unitvolume=fixedcostpricevariablecost(0.25×price)orfixedcost(0.75×price)variablecost

So,

Unitvolume=$20,000,000(0.75×$168)$125=20,000,000units
Dollarsalesnecessary=20,000,000units×$168=$3,360,000,000

Thus, HD would need more than $3 billion in sales to realize a 25% return on sales given its current price and cost structure! Could it possibly achieve this level of sales? The major point is this: Although break-even analysis can be useful in determining the level of sales needed to cover costs or to achieve a stated profit goal, it does not tell the company whether it is possible to achieve that level of sales at the specified price. To address this issue, HD needs to estimate demand for this product.

Before moving on, however, let’s stop here and practice applying the concepts covered so far. Now that you have seen pricing and break-even concepts in action as they relate to HD’s new product, here are several exercises for you to apply what you have learned in other contexts.

Marketing by the Numbers Exercise Set One

Now that you’ve studied pricing, break-even, and margin analysis as they relate to HD’s new product launch, use the following exercises to apply these concepts in other contexts.

  1. 1.1 Elkins, a manufacturer of ice makers, realizes a cost of $250 for every unit it produces. Its total fixed costs equal $5 million. If the company manufactures 500,000 units, compute the following:

    1. unit cost

    2. markup price if the company desires a 10% return on sales

    3. ROI price if the company desires a 25% return on an investment of $1 million

  2. 1.2 A gift shop owner purchases items to sell in her store. She purchases a chair for $125 and sells it for $275. Determine the following:

    1. dollar markup

    2. markup percentage on cost

    3. markup percentage on selling price

  3. 1.3 A consumer purchases a coffee maker from a retailer for $90. The retailer’s markup is 30%, and the wholesaler’s markup is 10%, both based on selling price. For what price does the manufacturer sell the product to the wholesaler?

  4. 1.4 A lawn mower manufacturer has a unit cost of $140 and wishes to achieve a margin of 30% based on selling price. If the manufacturer sells directly to a retailer who then adds a set margin of 40% based on selling price, determine the retail price charged to consumers.

  5. 1.5 Advanced Electronics manufactures DVDs and sells them directly to retailers who typically sell them for $20. Retailers take a 40% margin based on the retail selling price. Advanced’s cost information is as follows:

    DVD package and disc $2.50/DVD
    Royalties $2.25/DVD
    Advertising and promotion $500,000
    Overhead $200,000

    Calculate the following:

    1. contribution per unit and contribution margin

    2. break-even volume in DVD units and dollars

    3. volume in DVD units and dollar sales necessary if Advanced’s profit goal is 20% profit on sales

    4. net profit if 5 million DVDs are sold

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