Answer:
Children's model = 7
Standard model = 9
Executive model = 13
Explanation:
Let a = number of children's model
b= number of standard model
c = number of executive model
According to the question given, the time allocation is as follows;
Cutting; a = 5 hr b = 4hr c = 7hr, Maximum hours = 162 hours
Construction; a = 3 hr b = 2hr c = 5hr, Maximum hours = 104 hours
Finishing; a = 2 hr b = 2hr c = 4hr, Maximum hours = 84 hours
We can therefore derive the equations.
5a + 4b + 7c = 162 (i)
3a + 2b + 5c = 104 (ii)
2a + 2b + 4c = 84 (iii)
Subtracting (iii) from (ii), a + c = 20, a = 20 - c (iv)
Substituting (iv) into (ii)
60 - 3c + 2b + 5c = 104
2b + 2c = 44 (v)
Substituting (iv) into (i)
100 - 5c + 4b + 7c = 162
4b + 2c = 62 (vi)
Subtracting (v) from (vi), we have
2b = 18; b = 9
Since b + c = 22,
c =22 - 9 = 13
Also, a + c =20
a = 20 - 13 = 7
