8 A factory packs three different kinds of novelty box: red, blue and green. Each box contains three different types of toy: \(\mathrm { A } , \mathrm { B }\) and C . Each red box has 2 type A toys, 3 type B toys and 4 type C toys.
Each blue box has 3 type A toys, 1 type B toy and 3 type C toys.
Each green box has 4 type A toys, 5 type B toys and 2 type C toys.
Each day, the maximum number of each type of toy available to be packed is 360 type A, 300 type B and 400 type C. Each day, the factory must pack more type A toys than type B toys.
Each day, the total number of type A and type B toys that are packed must together be at least as many as the number of type C toys that are packed. Each day, at least \(40 \%\) of the total toys that are packed must be type C toys.
Each day, the factory packs \(x\) red boxes, \(y\) blue boxes and \(z\) green boxes.
Formulate the above situation as 6 inequalities, in addition to \(x \geqslant 0 , y \geqslant 0\) and \(z \geqslant 0\), simplifying your answers.