What is the matlab code that would solve this problem?

Egg Incubator Design

The goal of this project is to design an egg incubator that maintains the ideal incubation conditions, specifically a temperature of $\backslash (37\mathrm{.}5^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The incubator has interior dimensions of $\backslash (0\mathrm{.}5\backslash$times $0\mathrm{.}5\backslash$times $0\mathrm{.}5\backslash$mathrm$\{$~m$\}^\{3\}\backslash ),$ while the exterior dimensions depend on the selection of wall material and its thickness. The incubator is surrounded by walls of uniform composition and thickness and rests on an insulated table surface.

The key environmental parameters include ambient air and surrounding temperature of $\backslash (20^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and a convection heat transfer coefficient is $\backslash (5\backslash$mathrm$\{$~W$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash$cdot $\backslash$mathrm$\{$~K$\}\backslash ).$ The incubator is equipped with a $100$ W halogen lamp and a $5$ W circulating fan, providing an internal convection heat transfer coefficient of $\backslash (20\backslash$mathrm$\{$~W$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash$cdot $\backslash$mathrm$\{$~K$\}\backslash ).$ To regulate humidity, a small humid airflow allows for an average heat loss of $10$ W $.$ Assume one$-$dimensional conduction heat transfer across each wall, with identical dimensions and heat transfer conditions on the top and four side walls.

Design Goals:

Select wall materials from Table A$\mathrm{.}1,$ A$\mathrm{.}2,$ A$\mathrm{.}3,$ and A$.8($solid materials only$)$ and determine their thickness $($single$-$layer or multilayered composite$)$ to maintain an internal air temperature of $\backslash (37\mathrm{.}5^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ And limit the wall thickness less than $30$ mm $.$

Tasks:

Use MATLAB to analyze following:

$1)$ Wall material$($s$)$ and composition if multilayered

$2)$ Wall thickness

$3)$ Inside and outside wall temperatures

to solve

$-$ Total heat energy transferred out of the incubator and create Thermal network model of heat transfer through the walls