The break-even point of a slinky refers to the point at which the total revenue from selling the slinkies equals the total costs associated with producing and selling them. To calculate this, you need to know the fixed costs (like manufacturing and marketing) and the variable costs per unit (such as materials). By dividing the total fixed costs by the difference between the selling price per slinky and the variable cost per slinky, you can determine how many slinkies need to be sold to cover all costs. Once this number is reached, any additional sales contribute to profit.
the second derivative at an inflectiion point is zero
linear
A Control Point or "CP" is any step in the flow of food where a physical, chemical or biological hazard can be controlled. Where as A Critical Control Point or "CCP" is the last step where you can intervene to prevent, eliminate or reduce a hazard to an acceptable limit.
At the maximum point of a function, the value of the second derivative is less than or equal to zero. Specifically, if the second derivative is negative, it indicates that the function is concave down at that point, confirming a local maximum. If the second derivative equals zero, further analysis is needed to determine the nature of the critical point, as it may be an inflection point or a higher-order maximum.
A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.
Breakeven point is the point where firm has no profit no loss while breakeven analysis is the process of finding out the breakeven point.
The Formula of Breakeven point (in units)= Fixed Cost / Contribution per unit
Formula for Breakeven point: Breakeven point = Fixed Cost / Contribution margin ratio Contribution margin ratio = Sales / contribution margin Contribution margin = sales - variable cost
breakeven point will decrease
breakeven point (units) = fixed costs/contribution contribution = selling price - variable costs per unit
decrease <--------WRONG!!!!! The operating breakeven point will remain unchanged.
where all your Fixed Costs are covered. To find the number of units at which you will breakeven you divide fixed costs by the contribution per unit
breakeven point
breaking even in integers
Increase in selling price reduces the breakeven point because due to increase in price contribution margin ratio also increases.
The financial breakeven point is a more relevant measure than the accounting breakeven point because the accounting breakeven point does not consider the initial investment in the project. With any investment, one has the option to venture into it, or to take a less risky route and invest (in a bond or a stock that would give them a more guaranteed return). Thus an accounting breakeven, considers all cost, except the opportunity cost of the capital invested in project, and this is something that the financial breakeven considers. Financial breakeven point is the point where NPV is greater than or equal to zero: the point where there is economic value added® (a term trademarked by Stem-Stewart). This is because in calculating the financial breakeven, the formula includes the opportunity cost of capital: the initial investment divided by the timeannuity factor at the discount rate (where the discount rate is the opportunity cost of capital).
When a business sells output beyond the breakeven point, it is generating profit. The breakeven point is where total revenues equal total costs, meaning the business covers all its expenses without making a profit or loss. Sales beyond this point contribute to the company's net income, enhancing its financial health and providing potential for reinvestment or distribution to stakeholders. Thus, exceeding the breakeven point is a key indicator of business success and operational efficiency.