1. Frames Ltd.produces 3 types of memory sticks (A, B, and C) in 3 factories (F1, F2, F3). The quantities produced per month are in the following table:

	Factory 1 (F1)	Factory 2 (F2)	Factory 3 (F3)
Memory Stick A	30	40	15
Memory Stick B	20	5	5
Memory Stick C	3	4	10

1. 
   
2. The cost per unit of memory stick is independent of the factory where it is manufactured. 
3. Cost of Memory Stick A = €40, Cost of Memory Stick B = €50, and Cost of Memory Stick C = €35.
4. 
   
5. Task
6. Find QC (the multiplication of Q by C). Interpret the result in economic terms:
   1. Is it a valid multiplication (Y/N)? ____ (use capital letter)
   2. Does it make sense in economic terms (Y/N)? ____ (use capital letter)
7. Find Q^T, the transpose of Q. Is it a square matrix (Y/N) ____ (use capital letter)
8. Find Q^TC(the multiplication of Q^T by C). Interpret the result in economic terms:
   1. Is it a valid multiplication (Y/N)? _____ (use capital letter)
   2. Does it make sense in economic terms (Y/N)? _____ (use capital letter)