MAT 540 Week 2 Quiz

5. In HANESS, the men age 18 and over had an average height of 69 inches and an SD of 3 inches. The histograms is show below, with a normal curve. The percentage of men with heights between 66 inches and 72 inches is exactly equal to the area between (a) and (b) under (c). This percentage is approximately equal to the area between (d) and (e) under the (f). Fill in the blanks.

For both scenarios, the firm’s output price and average variable cost are the same. The difference lies in the average total cost. Because the total fixed cost is significantly higher, the average total cost is also significantly higher. It would be highly recommended that the firm shut down if total fixed costs are equal to 3,000,000. In the first scenario, the firm is also losing money. We would recommend laying off ten percent of the staff (5000 employees) to account for the $400,000 loss. However, it is important to note, employee productivity must be increased to 4.44 in order to maintain the 200,000 units per day. This would allow the firm to operate in a break even state.

d) Break even sales change that would change the profits by the same amount as a reduction in price.

Breakeven Analysis for Product Tylenol Approach 1 - Same price as Tylenol Approach 2a - Cheaper than Tylenol Approach 2b - Cheaper w/lowered trade cost $ $ $ $ Unit Cost (Variable Cost) 0.60 0.60 0.60 0.60 Trade Cost (Selling Price to Retailers) $ 1.69 $ 1.69 $ 1.05 $ 0.70 Fixed Cost (Advertising) 2,000,000 6,000,000 6,000,000 6,000,000 Break-Even Quantity [Fixed Cost/(Trade Cost-Unit Cost)] 1,834,862 5,504,587 13,333,333 60,000,000 Contribution Margin (Unit) 64% 64% 43% 14%

Note: You can assume that variable costs are constant so that the average of them is the variable cost relevant for a change in sales.

5. Determine the necessary sales in unit and dollars to break-even or attain desired profit using the break-even formula.

To find the break-even point for napkins, you use the same formula. The fixed cost is still $420,000.00. The selling price of napkins is $7.00. The variable cost is $4.50. $7.00 minus $4.50 is $2.50. So then you take $420,000.00 and divide it by $2.50 to find the breaking point of $168,000.00. The company will have to sell $168,000.00 to break even in sales. The margin for safety for napkins is -$48,000.00. This is found by subtracting the actual or expected cost of $120,000.00 by the break-even point of $168,000.00. You can cut sales by $48,000.00 and not sustain a loss.

Fixed costs in 2004 are lower that of 2003 and contribution margin ratio is higher in 2004 than that of 2003. Hence, the break even point is lower for 2004.

There are some limitations of break-even as well. For example, it cannot give accurate results if the data used for it is predicted. Data such as change in direct cost

Breakeven = fixed cost/margin = total dollar fixed costs/ unit selling price –unit variable costs

As an example, if fixed costs are $100, price per unit is $10, and variable costs per unit are $6, then the break-even quantity is 25 ($100 ÷ [$10 − $6] = $100 ÷$4). When 25 units are produced and sold, each of these units will not only have covered its own marginal (variable) costs, but will have also have contributed enough in total to have covered all associated fixed costs. Beyond these 25 units, all fixed costs have been paid, and each unit contributes to profits by the excess of price over variable costs, or the contribution margin. If demand is estimated to be at least 25 units, then the company will not experience a loss. Profits will grow with each unit demanded above this 25-unit break-even level.

The following overview takes a look at how much the average sales ticket would have to increase to breakeven if the fixed cost remained the same in 2007 as it was in 2006.

Springfield Express has experienced an increase in variable cost per passenger to $85 and an increase in total fixed cost to $ 3,600,000. The company has decided to raise the average fare to $ 205. If the tax rate is 30 percent, how many passengers per month are needed to generate an after-tax profit of $ 750,000?

If the profit on sales revenue is 20% then profit on cost will become 25%(20%/80%)

This equation is solved for the sales volume in units. c. In the graphical approach, sales revenue and total expenses are graphed. The break-even point occurs at the intersection of the total revenue and total expense lines. 8-2 The term unit contribution margin refers to the contribution that