**I/GCSE** **Mathematics**** Question Analysis Topic: Mathematics - **

**Exam Question:**

Two tailors, A and B, earn $300 and $400 per day, respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP and find the number of days A and B worked.

**Answer:**

For I/GCSE Mathematics, you should know:

**Give A x days to work and B y days to work.**

In accordance with the restrictions on how many shirts and pants each person can sew each day, we can write:

*4x + 4y >= 32 (1)*

*6x + 10y >= 60 (2)*

Therefore, in order to satisfy the requirements stated in the equations above, we must **minimize** the function *300x + 400y*. (Simultaneous equations)

The results of solving both equations are: x = 5, y = 3.

To make 60 shirts and 32 pairs of pants, A and B need put in 5 and 3 days of effort, respectively.

Work hard for your I/GCSE Mathematics examination!

End of analysis. Great!