Answer:
Let’s denote the amount of hopts as x
and the amount of boondins as y
.
Given that Farmer Naxvip expects to sell at least 4 boondins, we can write this as:
y≥4
He also expects to sell at most 14 units in total. This includes both hopts and boondins, so we can write this as:
x+y≤14
So, the system of inequalities modeling the relationships between the amount of hopts (x) and the amount of boondins (y) is:
[
\begin{align*}
y & \geq 4 \
x + y & \leq 14
\end{align*}
]
This system represents all possible combinations of hopts and boondins that Farmer Naxvip can sell according to his expectations. Please note that this system assumes that Farmer Naxvip can sell fractional amounts of hopts and boondins. If only whole numbers of hopts and boondins can be sold, then x
and y
should be integers.
Step-by-step explanation: