Question 8

Explanation

Let capsule $= x$, tablet $= y$, with $x \geq 0$ and $y \geq 0$

We obtain the mathematical model

Finding the Intersection Point

If both line equations are eliminated, we get the intersection point

Solution Region Graph

From the inequalities, we obtain the graph

Determining Minimum Cost

The minimum cost function for capsules and tablets is $f(x, y) = 1{,}000x + 800y$

Values at each corner point

Therefore, the minimum cost that must be spent to meet the calcium and iron needs of the toddler is $\text{Rp}12{,}000$