Question 1147533
x = number of first type
y = number of second type


your constraint equations are:
17x + 13y = 324
9x + 8y = 175


the first equation is for assembly time.
the second equation is for testing time.


solve these two equations simultaneously to get:
x = 16.68421053
y = 3.105263158


if all the available time has to be used, then 3.105263158 of the second type can be assembled and tested.


the second type would use 13 * y = 40.36842105 hours of assembly time and 8 * y = 24.84210526 hours of testing time.


a graphical solution to solving those two equations simultaneously is shown below:


<img src = "http://theo.x10hosting.com/2019/102301.jpg" alt="$$$" >


the graphical solution is the intersection of the two lines formed by the equations.