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 × 0.9

T C K = 24 q i + 12 × 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