Linear programming
A carpenter makes two types of tables, x and y. He has 600m² floor space available. Table x requires 50 m² of floor space and table y requires 60 m². He can only afford to invest R1600 in equipment that amounts to R160 per table x and R100 per table y. He does not have enough skilled labourers to make more than 6 tables of type x. The profit on each type of the table is the same.

Question

Linear  programming
A  carpenter  makes  two  types  of  tables, x  and  y. He has 600m²  floor space available. Table x requires 50 m²  of floor  space  and  table  y  requires  60 m². He  can  only  afford  to  invest  R1600  in  equipment  that  amounts  to  R160  per  table  x  and  R100 per  table  y. He  does  not  have  enough  skilled  labourers  to  make  more  than  6  tables  of  type  x. The  profit  on  each  type  of  the  table  is the  same.

anonymous · Answer

This  is  the  system  of  constrained  inequalities  that  I  got
50 x + 60 y ≤ 600
160 x + 100 y < 1600
X ≥ 0
Y ≥ 0