1. **Stating the problem:**
A cow weighs 550 kg. The cost of production is 150 per kg. The cow loses 7% of its weight during transportation. The marketing price is 200 per kg. The owner wants to add a 35% profit above the cost of production. We need to calculate:
A- Price after excluding pencil shrink (weight loss).
B- Markup price.
C- Margin price.
D- Selling price.
2. **Calculate weight after loss:**
Weight loss = 7% of 550 kg = $$550 \times 0.07 = 38.5$$ kg
Weight after loss = $$550 - 38.5 = 511.5$$ kg
3. **Price after excluding pencil shrink:**
Cost of production per kg = 150
Price after shrink = $$511.5 \times 150 = 76725$$
4. **Markup price:**
Markup is 35% above cost, so markup price per kg = $$150 + (0.35 \times 150) = 150 + 52.5 = 202.5$$
5. **Margin price:**
Margin price is profit as a percentage of selling price.
Profit per kg = markup price - cost price = $$202.5 - 150 = 52.5$$
Margin percentage = $$\frac{Profit}{Selling\ Price} \times 100 = \frac{52.5}{202.5} \times 100 = 25.93\%$$
6. **Selling price:**
Selling price per kg = markup price = 202.5
Total selling price = $$511.5 \times 202.5 = 103323.75$$
**Final answers:**
A- Price after excluding pencil shrink = 76725
B- Markup price per kg = 202.5
C- Margin price percentage = 25.93%
D- Total selling price = 103323.75
Cow Price Calculation D4Ee46
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