Question 156
A chicken coop with $240~\mathrm{m}^2$ in the area must house chickens and chicks, and it is desirable that there is a free space of $4~\mathrm{m}^2$ for each chicken and $2~\mathrm{m}^2$ for each chick. In addition, each chick eats $40~\mathrm{g}$ of feed per day and each chicken eats $160~\mathrm{g}$ per day, allowing a maximum daily expense of $8~\mathrm{kg}$ of feed.
a. Algebraically represents the conditions of the problem.
b. Graphically, in the Cartesian plane $xOy$, the conditions of the problem.
c. Does this chicken coop hold 20 chickens and 80 chicks? And 30 chickens and 100 chicks?
d. What is the maximum number of chickens that can be placed in the chicken coop, respecting the desirable spaces and the maximum feed cost? And chicks?
a. Algebraically represents the conditions of the problem.
b. Graphically, in the Cartesian plane $xOy$, the conditions of the problem.
c. Does this chicken coop hold 20 chickens and 80 chicks? And 30 chickens and 100 chicks?
d. What is the maximum number of chickens that can be placed in the chicken coop, respecting the desirable spaces and the maximum feed cost? And chicks?