Posts

What is the difference between gross margin and markup?

Gross margin and markup are both used in business to add a profit margin to a product or service that is sold. It really does not matter which one you use but most companies use gross margin (MAR or GM). Both are calculated differently and you do not want to mix them up! Gross Margin: Gross margin is the percentage of total sales revenue that exceeds the cost of goods sold (COGS). It shows how much money is left over from sales after covering the direct costs associated with producing the goods or services.  It helps businesses understand the profitability of their products after considering production costs. A higher gross margin indicates that the company retains more money from each sale to cover operating expenses and generate profit. Gross Margin = Sales − COGS Sales × 100 \text{Gross Margin} = \frac{\text{Sales} - \text{COGS}}{\text{Sales}} \times 100 Markup: Markup refers to the amount added to the cost of a product to determine its selling price. It shows how much...

Solving a probability density function of the standard normal distribution with the HP15C/DM15L

  The probability density function (PDF) of the standard normal distribution, often denoted as the bell-shaped curve or Gaussian distribution, serves as a fundamental tool in statistics and probability theory. It quantifies the likelihood of a random variable taking on a specific value, with higher probabilities associated with values near the mean and lower probabilities for values further from the mean. This PDF is invaluable for various applications, such as hypothesis testing, confidence intervals, and estimating the likelihood of events occurring within a continuous range. If you are as ancient as I am, you will remember that probabilities were read of a t or z table. But there is no fun in that, is there? I was quite surprised that the HP10BII+ had this functionality already programmed in. Not even the venerable HP12C can calculate the P value. So well done for the HP10BII+. In any case, I had to find a way to calculate it with my DM15L/HP15C by integrating the formula. So ...

The love formula

$$\huge x^2+(\frac{5y}{4} -\sqrt {|x|})^2=1$$ Just playing around, off course any non graphics calculator cannot render the graph. But its a cute equation.

Using the DM15L for simple business calculations

 Although the DM15L is an advanced scientific calculator, and the venerable HP12C is still available, it can easily be used for basic business calculations. I guess it's like driving your Ferrari to buy milk around the corner. Just imagine how much fun buying milk is. So by basic business calculations I mean product margins etc., not financial calculations, I think the HP12C or DM12L is more suited. I have to admit, the HP10Bii Plus is so much more suited to business calculations than both the HP12C and DM15L, but if you can drive around in a Ferrari why bother with a Tata? In any business, you have to calculate margins (MU), gross profit (GP), VAT, or GST. It's all about percentages. The STO and RCL functions of the DM15L are ideal for storing and recalling these percentages that you use over and over. Let's setup a hypothetical situation. The following markups (MU) are used and stored in registers R1 to R9: R0: 15% VAT (1.15) R1: 35% (0.65) R2: 30% (0.70) R3: 25: (0.75) R...

Solving the exponent of exponent expression on the HP15C or DM15L

 Solving the equation below on a modern CAS or RPN calculator is quite easy, but doing it on the older HP15C or the latest DM15L is a little different. On an HP35s or HP Prime, even the HP50C enter the equation into the equation writer or solver, then solve for 'x' without thinking much. On the other hand the HP15C forces you to understand the flow of calculations and their relation to each other. In my opinion, a fundamental aspect missing in today's math's education. $$x^{x^2}=256$$ I posted this because I got it wrong and forgot the rules of exponents. A lot of people start from the bottom and work upwards to 'x', while the correct way is working from 'x' down to 2. So $$(x^x)^2 \ne x^{(x^2)} $$ Below is the program you can enter on the HP15C or DM15L (I assume the HP11C will work the same, even the venerable HP41 range, albeit with some changes in key selection. [f][PGRM] [g][P/R] [F][LBL][C] [2] [yx] [yx] [2][5][6] [-] [g][RTN] [g][P/R] To run the p...

Solving a cubic expression with two x variables.

 The first time a saw this expression it looked unsolvable and more like a riddle. That is to my layman's eyes off course. Experienced mathematicians solve it during a morning jog. Anyway, it looked challenging enough. Sometimes the simplest things are the hardest to solve. $$\large x^4 = 2^x $$ In order to solve this expression we need to set it to equal zero. $$\large x^4 - 2^x = 0 $$ [f][R↓]     [g][R/S] [f][SST]C [4][yx][X<>Y] [2][X<>Y][yx][-] [g][GSB] [g][R/S] There are actually two roots. With a little insight to your equation, you can get acurate solutions. To solve for the lower root we enter the following key sequence: [0][ENTER] [2][0] [f][SOLVE][C] First root is -0.8613 To find the second root change the range: [1][0][ENTER] [2][0] [f][SOLVE][C] The answer should be 16 Enjoy! Acknowledgment: I have to admit I got stuck with this small program for several months. After so many futile attempts I thought to get help from Edward Shore. He gracefull...