Question 14

Explanation

Creating Mathematical Model

Let:

• $A$ = capital amount for product $A$
• $B$ = capital amount for product $B$

Given the total capital is $\text{Rp}10,000,000.00$:

Given the total profit is $\text{Rp}904,000.00$ with product $A$ profit of $8\%$ and product $B$ profit of $10\%$:

Multiply both sides by $10$ to simplify the calculation:

Solving the System of Equations

Eliminate variable $B$ from equations $(1)$ and $(2)$:

Calculate the value of $A$:

Therefore, the capital for product $A$ is $\text{Rp}4,800,000.00$.