Simplex results

Stage 1

Initial tableau

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀	1	0	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	78.25
R₁	0	1	-100	-75	-300	-350	-50	-60	-200	-180	-100	-120	-250	-200	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
R₂	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₃	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	35.5
R₄	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈	0	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	38
R₉	0	0	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	45

Pivot 1: row R₂, column c_s.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₂	1	0	0	0	1	1	1	1	1	1	1	1	1	1	0	-1	-1	-1	-1	-1	0	0	-1	0	0	0	0	0	73
R₁ + 100R₂	0	1	0	25	-300	-350	-50	-60	-200	-180	-100	-120	-250	-200	-100	0	0	0	0	0	0	0	100	0	0	0	0	0	525
R₂	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₃	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	35.5
R₄	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈ - R₂	0	0	0	-1	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	1	0	-1	0	0	0	0	0	32.75
R₉	0	0	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	45

Pivot 2: row R₈, column m_s.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₈	1	0	0	1	0	1	0	1	0	1	0	1	0	1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	40.25
R₁ + 300R₈	0	1	0	-275	0	-350	250	-60	100	-180	200	-120	50	-200	200	0	0	0	0	0	300	0	-200	0	0	0	0	0	10350
R₂	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₃ - R₈	0	0	0	1	0	1	-1	0	-1	0	-1	0	-1	0	-1	-1	0	0	0	0	-1	0	1	1	0	0	0	0	2.75
R₄	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈	0	0	0	-1	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	1	0	-1	0	0	0	0	0	32.75
R₉	0	0	0	1	0	1	0	1	0	1	0	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	45

Pivot 3: row R₃, column c_t.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₃	1	0	0	0	0	0	1	1	1	1	1	1	1	1	0	0	-1	-1	-1	-1	0	0	-1	-1	0	0	0	0	37.5
R₁ + 275R₃	0	1	0	0	0	-75	-25	-60	-175	-180	-75	-120	-225	-200	-75	-275	0	0	0	0	25	0	75	275	0	0	0	0	11106.25
R₂ - R₃	0	0	1	0	0	-1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	1	0	0	-1	0	0	0	0	2.5
R₃	0	0	0	1	0	1	-1	0	-1	0	-1	0	-1	0	-1	-1	0	0	0	0	-1	0	1	1	0	0	0	0	2.75
R₄	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈ + R₃	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	35.5
R₉ - R₃	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	1	0	0	0	0	1	1	-1	-1	0	0	0	0	42.25

Pivot 4: row R₂, column f_s.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₂	1	0	-1	0	0	1	0	1	0	1	0	1	0	1	0	-1	-1	-1	-1	-1	-1	0	-1	0	0	0	0	0	35
R₁ + 25R₂	0	1	25	0	0	-100	0	-60	-150	-180	-50	-120	-200	-200	-75	-250	0	0	0	0	50	0	75	250	0	0	0	0	11168.75
R₂	0	0	1	0	0	-1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	1	0	0	-1	0	0	0	0	2.5
R₃ + R₂	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₄ - R₂	0	0	-1	0	0	1	0	1	-1	0	-1	0	-1	0	0	-1	-1	0	0	0	-1	0	0	1	1	0	0	0	11.5
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	35.5
R₉ - R₂	0	0	-1	0	0	1	0	1	0	1	0	1	0	1	1	0	0	0	0	0	0	1	-1	0	0	0	0	0	39.75

Pivot 5: row R₄, column m_t.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₄	1	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	-1	-1	-1	0	0	-1	-1	-1	0	0	0	23.5
R₁ + 100R₄	0	1	-75	0	0	0	0	40	-250	-180	-150	-120	-300	-200	-75	-350	-100	0	0	0	-50	0	75	350	100	0	0	0	12318.75
R₂ + R₄	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₃	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₄	0	0	-1	0	0	1	0	1	-1	0	-1	0	-1	0	0	-1	-1	0	0	0	-1	0	0	1	1	0	0	0	11.5
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈ - R₄	0	0	1	0	1	0	0	-1	1	0	1	0	1	0	0	0	1	0	0	0	1	0	0	0	-1	0	0	0	24
R₉ - R₄	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	1	0	0	0	1	1	-1	-1	-1	0	0	0	28.25

Pivot 6: row R₅, column s_s.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₅	1	0	0	0	0	0	0	0	0	0	1	1	1	1	0	0	0	0	-1	-1	0	0	-1	-1	-1	-1	0	0	9.5
R₁ + 250R₅	0	1	-75	0	0	0	0	40	0	70	-150	-120	-300	-200	-75	-350	-100	-250	0	0	-50	0	75	350	100	250	0	0	15818.75
R₂	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₃	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₄ + R₅	0	0	-1	0	0	1	0	1	0	1	-1	0	-1	0	0	-1	-1	-1	0	0	-1	0	0	1	1	1	0	0	25.5
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈ - R₅	0	0	1	0	1	0	0	-1	0	-1	1	0	1	0	0	0	1	1	0	0	1	0	0	0	-1	-1	0	0	10
R₉ - R₅	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	0	0	1	1	-1	-1	-1	-1	0	0	14.25

Pivot 7: row R₆, column p_s.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₆	1	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	-1	-1	-1	-1	-1	0	3.5
R₁ + 150R₆	0	1	-75	0	0	0	0	40	0	70	0	30	-300	-200	-75	-350	-100	-250	-150	0	-50	0	75	350	100	250	150	0	16718.75
R₂	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₃	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₄ + R₆	0	0	-1	0	0	1	0	1	0	1	0	1	-1	0	0	-1	-1	-1	-1	0	-1	0	0	1	1	1	1	0	31.5
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈ - R₆	0	0	1	0	1	0	0	-1	0	-1	0	-1	1	0	0	0	1	1	1	0	1	0	0	0	-1	-1	-1	0	4
R₉ - R₆	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	0	1	1	-1	-1	-1	-1	-1	0	8.25

Pivot 8: row R₇, column h_s.

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀ - R₇	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0
R₁ + 300R₇	0	1	-75	0	0	0	0	40	0	70	0	30	0	100	-75	-350	-100	-250	-150	-300	-50	0	75	350	100	250	150	300	17768.75
R₂	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₃	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₄ + R₇	0	0	-1	0	0	1	0	1	0	1	0	1	0	1	0	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	35
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈ - R₇	0	0	1	0	1	0	0	-1	0	-1	0	-1	0	-1	0	0	1	1	1	1	1	0	0	0	-1	-1	-1	-1	0.5
R₉ - R₇	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	4.75

At end of stage 1

	A	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	a₁	a₂	a₃	a₄	a₅	a₆	RHS
R₀	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0
R₁	0	1	-75	0	0	0	0	40	0	70	0	30	0	100	-75	-350	-100	-250	-150	-300	-50	0	75	350	100	250	150	300	17768.75
R₂	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	14
R₃	0	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	0	0	0	5.25
R₄	0	0	-1	0	0	1	0	1	0	1	0	1	0	1	0	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	35
R₅	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	0	14
R₆	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	0	6
R₇	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	0	0	0	0	0	1	3.5
R₈	0	0	1	0	1	0	0	-1	0	-1	0	-1	0	-1	0	0	1	1	1	1	1	0	0	0	-1	-1	-1	-1	0.5
R₉	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	4.75

Stage 2

Initial tableau

	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	RHS
R₀	1	-75	0	0	0	0	40	0	70	0	30	0	100	-75	-350	-100	-250	-150	-300	-50	0	17768.75
R₁	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	14
R₂	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	5.25
R₃	0	-1	0	0	1	0	1	0	1	0	1	0	1	0	-1	-1	-1	-1	-1	-1	0	35
R₄	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	14
R₅	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	6
R₆	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	3.5
R₇	0	1	0	1	0	0	-1	0	-1	0	-1	0	-1	0	0	1	1	1	1	1	0	0.5
R₈	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	4.75

Pivot 1: row R₆, column h_t.

	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	RHS
R₀ - 100R₆	1	-75	0	0	0	0	40	0	70	0	30	-100	0	-75	-350	-100	-250	-150	-200	-50	0	17418.75
R₁	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	14
R₂	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	5.25
R₃ - R₆	0	-1	0	0	1	0	1	0	1	0	1	-1	0	0	-1	-1	-1	-1	0	-1	0	31.5
R₄	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	14
R₅	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	6
R₆	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	3.5
R₇ + R₆	0	1	0	1	0	0	-1	0	-1	0	-1	1	0	0	0	1	1	1	0	1	0	4
R₈	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	4.75

Pivot 2: row R₄, column s_t.

	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	RHS
R₀ - 70R₄	1	-75	0	0	0	0	40	-70	0	0	30	-100	0	-75	-350	-100	-180	-150	-200	-50	0	16438.75
R₁	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	14
R₂	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	5.25
R₃ - R₄	0	-1	0	0	1	0	1	-1	0	0	1	-1	0	0	-1	-1	0	-1	0	-1	0	17.5
R₄	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	14
R₅	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	6
R₆	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	3.5
R₇ + R₄	0	1	0	1	0	0	-1	1	0	0	-1	1	0	0	0	1	0	1	0	1	0	18
R₈	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	4.75

Pivot 3: row R₁, column f_t.

	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	RHS
R₀ - 40R₁	1	-75	0	0	0	-40	0	-70	0	0	30	-100	0	-75	-350	-60	-180	-150	-200	-50	0	15878.75
R₁	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	14
R₂	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	5.25
R₃ - R₁	0	-1	0	0	1	-1	0	-1	0	0	1	-1	0	0	-1	0	0	-1	0	-1	0	3.5
R₄	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	14
R₅	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	-1	0	0	0	6
R₆	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	3.5
R₇ + R₁	0	1	0	1	0	1	0	1	0	0	-1	1	0	0	0	0	0	1	0	1	0	32
R₈	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	4.75

Pivot 4: row R₃, column p_t.

	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	RHS
R₀ - 30R₃	1	-45	0	0	-30	-10	0	-40	0	0	0	-70	0	-75	-320	-60	-180	-120	-200	-20	0	15773.75
R₁	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	14
R₂	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	5.25
R₃	0	-1	0	0	1	-1	0	-1	0	0	1	-1	0	0	-1	0	0	-1	0	-1	0	3.5
R₄	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	14
R₅ - R₃	0	1	0	0	-1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	1	0	2.5
R₆	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	3.5
R₇ + R₃	0	0	0	1	1	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	35.5
R₈	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	4.75

Final tableau

	I	c_s	c_t	m_s	m_t	f_s	f_t	s_s	s_t	p_s	p_t	h_s	h_t	s₁	s₂	s₃	s₄	s₅	s₆	s₇	s₈	RHS
R₀	1	-45	0	0	-30	-10	0	-40	0	0	0	-70	0	-75	-320	-60	-180	-120	-200	-20	0	15773.75
R₁	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	14
R₂	0	1	1	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	0	5.25
R₃	0	-1	0	0	1	-1	0	-1	0	0	1	-1	0	0	-1	0	0	-1	0	-1	0	3.5
R₄	0	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	-1	0	0	0	0	14
R₅	0	1	0	0	-1	1	0	1	0	1	0	1	0	0	1	0	0	0	0	1	0	2.5
R₆	0	0	0	0	0	0	0	0	0	0	0	1	1	0	0	0	0	0	-1	0	0	3.5
R₇	0	0	0	1	1	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0	35.5
R₈	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1	1	1	1	1	4.75

Solution

I = 15773.75
c_s = 0
c_t = 5.25
m_s = 35.5
m_t = 0
f_s = 0
f_t = 14
s_s = 0
s_t = 14
p_s = 2.5
p_t = 3.5
h_s = 0
h_t = 3.5
s₁ = 0
s₂ = 0
s₃ = 0
s₄ = 0
s₅ = 0
s₆ = 0
s₇ = 0
s₈ = 4.75

Alter initial tableau and reprocess
Return to the simplex page

This implementation of the Simplex algorithm is © Mark Hutchinson 2004.