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Sagot :
Alright, let's solve the given questions step-by-step.
### 4.1.1 Calculate the missing values of [tex]\( A, B, C, D \)[/tex] and [tex]\( E \)[/tex].
1. Rent:
- [tex]\( A = \text{R}2500 \)[/tex]
2. Transport (Return trip):
- The cost of a single trip from Pinetown to Durban is R36.
- Since it is a return trip, you need to account for two trips.
- [tex]\( B = 36 \times 2 = \text{R}72 \)[/tex]
3. Cost price of 50 duvet sets:
- The cost of each duvet set is R180.
- For 50 duvet sets:
- [tex]\( C = 180 \times 50 = \text{R}9000 \)[/tex]
4. Sthobile's salary:
- [tex]\( D = \text{R}3200 \)[/tex]
5. Total Expenses:
- Total expenses [tex]\( E \)[/tex] is the sum of all individual expenses:
- [tex]\( E = A + B + C + D = 2500 + 72 + 9000 + 3200 = \text{R}14772 \)[/tex]
So, the table with the missing values filled in would be:
[tex]\[ \begin{tabular}{|l|l|} \hline \text{Item Description} & \text{Expenses} \\ \hline \text{Rent} & \text{R}2500 \\ \hline \text{Transport (Return trip)} & \text{R}72 \\ \hline \text{Cost price of 50 duvet sets} & \text{R}9000 \\ \hline \text{Sthobile's salary} & \text{R}3200 \\ \hline \text{Total Expenses} & \text{R}14772 \\ \hline \end{tabular} \][/tex]
### 4.1.2 Calculate Macashisa's income if he sold 50 duvet sets.
1. The selling price of each duvet set is R350.
2. For 50 duvet sets:
- Income = [tex]\( \text{duvet selling price} \times \text{number of duvets sold} \)[/tex]
- Income = [tex]\( 350 \times 50 = \text{R}17500 \)[/tex]
So, Macashisa's income from selling 50 duvet sets is [tex]\( \text{R}17500 \)[/tex].
### 4.1.3 Calculate Macashisa's profit (Only from the sale of duvet sets) if he sold 50 duvet sets.
1. Profit is calculated as the difference between the income from the sale of the duvets and the cost price of those duvets.
2. The cost price for 50 duvet sets was [tex]\( \text{R}9000 \)[/tex], and the income from selling them was [tex]\( \text{R}17500 \)[/tex].
3. Therefore, the profit is:
- Profit = [tex]\( \text{Income} - \text{Cost Price} = 17500 - 9000 = \text{R}8500 \)[/tex]
So, Macashisa's profit from selling 50 duvet sets is [tex]\( \text{R}8500 \)[/tex].
### 4.1.1 Calculate the missing values of [tex]\( A, B, C, D \)[/tex] and [tex]\( E \)[/tex].
1. Rent:
- [tex]\( A = \text{R}2500 \)[/tex]
2. Transport (Return trip):
- The cost of a single trip from Pinetown to Durban is R36.
- Since it is a return trip, you need to account for two trips.
- [tex]\( B = 36 \times 2 = \text{R}72 \)[/tex]
3. Cost price of 50 duvet sets:
- The cost of each duvet set is R180.
- For 50 duvet sets:
- [tex]\( C = 180 \times 50 = \text{R}9000 \)[/tex]
4. Sthobile's salary:
- [tex]\( D = \text{R}3200 \)[/tex]
5. Total Expenses:
- Total expenses [tex]\( E \)[/tex] is the sum of all individual expenses:
- [tex]\( E = A + B + C + D = 2500 + 72 + 9000 + 3200 = \text{R}14772 \)[/tex]
So, the table with the missing values filled in would be:
[tex]\[ \begin{tabular}{|l|l|} \hline \text{Item Description} & \text{Expenses} \\ \hline \text{Rent} & \text{R}2500 \\ \hline \text{Transport (Return trip)} & \text{R}72 \\ \hline \text{Cost price of 50 duvet sets} & \text{R}9000 \\ \hline \text{Sthobile's salary} & \text{R}3200 \\ \hline \text{Total Expenses} & \text{R}14772 \\ \hline \end{tabular} \][/tex]
### 4.1.2 Calculate Macashisa's income if he sold 50 duvet sets.
1. The selling price of each duvet set is R350.
2. For 50 duvet sets:
- Income = [tex]\( \text{duvet selling price} \times \text{number of duvets sold} \)[/tex]
- Income = [tex]\( 350 \times 50 = \text{R}17500 \)[/tex]
So, Macashisa's income from selling 50 duvet sets is [tex]\( \text{R}17500 \)[/tex].
### 4.1.3 Calculate Macashisa's profit (Only from the sale of duvet sets) if he sold 50 duvet sets.
1. Profit is calculated as the difference between the income from the sale of the duvets and the cost price of those duvets.
2. The cost price for 50 duvet sets was [tex]\( \text{R}9000 \)[/tex], and the income from selling them was [tex]\( \text{R}17500 \)[/tex].
3. Therefore, the profit is:
- Profit = [tex]\( \text{Income} - \text{Cost Price} = 17500 - 9000 = \text{R}8500 \)[/tex]
So, Macashisa's profit from selling 50 duvet sets is [tex]\( \text{R}8500 \)[/tex].
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