The cost of producing a ratio component is partly a constant and partly varies inversely with the number of component produced in a day.If 100 components are produced per day.The cost is 600 per component. If 200 components are produced per day.The cost is reduced to 4.50 per component

assume you mean 6.00 per component

c = a + b/n
6.00 = a + b/100
4.50 = a + b/200
--------------------- subtract
1.50= 2 b/200 - b/200 = b / 200
b = 200 * 1.50 = 300
6 = a + 3
a = 3
so
c = 3 + 300/n