I need by hand answer. No software if any software is used I will dislike for sure.

An electronic device consists of four components, each of which must function for the system to function. The system reliability can be improved by installing parallel units in one or more of the components. The reliability (R) of a component with one, two or three parallel units and the corresponding cost a are as given below. The maximum amount available for this device is 100. The problem is to determine the number of parallel units in cach component. Use dynamic programming to solve the problem : Components No. of units 1 2 3 R R R R 1 07 10 0-5 20 0.7 10 0-6 20 2 0-8 20 0.7 40 0-9 30 0.7 30 3 0.9 30 0-8 50 0-95 40 0.9 40