The weight $\text{'}W\text{'}$ is supported by the two cables $AB$ and $AC.$ The working stresses are $100$MPa for $AB$ and $150$MPa for $AC.$ The cross$-$sectional areas of $AB$ and AC are $400m{m}^2$ and $300m{m}^2,$ respectively.

a$)$ Determine the largest safe weight $\text{'}W\text{'}$ that can be supported by the two wires. $($in $kN)2$

b$)$ Find the force acting on the cable $AB$ due to the largest safe weight? $($in $kN)$

c$)$ What will be the force at cable $AC$ considering the largest safe weight? $($in kN$)$