Edexcel D2 2009 June — Question 5

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
Year2009
SessionJune
TopicThe Simplex Algorithm

5. While solving a maximising linear programming problem, the following tableau was obtained.
Basic Variablexyzrstvalue
z\(\frac { 1 } { 4 }\)\(- \frac { 1 } { 4 }\)1\(\frac { 1 } { 4 }\)002
s\(\frac { 5 } { 4 }\)\(\frac { 7 } { 4 }\)0\(- \frac { 3 } { 4 }\)104
t3\(\frac { 5 } { 2 }\)0\(- \frac { 1 } { 2 }\)012
P-2-40\(\frac { 5 } { 4 }\)0010
  1. Write down the values of \(\mathrm { x } , \mathrm { y }\) and z as indicated by this tableau.
  2. Write down the profit equation from the tableau.