Let $w_{1} =$	6/7
Let $w_{2} =$	1/7
$T C_{L} = b_{L} q_{i} + β_{L} q_{L}$		$T C_{K} = b_{K} q_{i} + β_{K} q_{K}$
$T C_{L} = 31.2 q_{i} + 4.8 \times 0.9$		$T C_{K} = 24 q_{i} + 12 \times 0.72$
$V C_{L} =$	$ 31.20 per ton	$V C_{K} =$	$ 24.00 per ton
$F C_{L} =$	$ 4.32 plant per cycle	$F C_{K} =$	$ 8.64 plant per cycle
$q_{L} =$	0.90 tons per cycle	$q_{K} =$	0.72 tons per cycle
Let $P_{A 1} = V C_{L} =$	$ 31.20 per ton	Let $P_{A 1} = V C_{K} =$	$ 24.00 per ton
$Q_{1} = A_{1}$	36.92 tons	$Q_{1} = A_{1}$	48.00 tons
Let $P_{A 2} =$		Let $P_{A 2} =$
$V C_{L} + β_{L} / w_{2} =$	$ 64.80 per ton	$V C_{K} + β_{K} / w_{2} =$	$ 108.00 per ton
Let $Q_{2} = A_{2}$	53.33 tons	Let $Q_{2} = A_{2}$	60.00 tons
$n_{L} = Q_{2} / q_{L}$	59.26 plants	$n_{K} = Q_{2} / q_{K}$	83.33 plants
$P_{1} Q_{1} w_{1} + P_{2} Q_{2} w_{2} =$	$ 1481.14 per cycle	$P_{1} Q_{1} w_{1} + P_{2} Q_{2} w_{2} =$	$ 1913.14 per cycle
$V C_{L} (Q_{1} w_{1} + Q_{2} w_{2}) =$	$ 1225.14 per cycle	$V C_{K} (Q_{1} w_{1} + Q_{2} w_{2}) =$	$ 1193.14 per cycle
$F C_{L} n_{L} =$	$ 256.00 per cycle	$F C_{K} n_{K} =$	$ 720.00 per cycle
$E (π) =$	$ 0.00 per cycle	$E (π) =$	$ 0.00 per cycle
$P_{A 2} - P_{A 1} =$	$ 33.60	$P_{A 2} - P_{A 1} =$	$ 84.00
$Q_{A 2} - Q_{A 1} =$	16.41 tons	$Q_{A 2} - Q_{A 1} =$	12.00 tons