Two firms, X and Y have access to four production processes. The daily costs of the processes and the corresponding number of tons of smoke emitted are as shown in the table below:

Process

$($smoke$)$

A

$(3$ tons$/$day$)$

B

$(2$ ton$/$day$)$

C

$(1$ tons$/$day$)$

D

$(0$ tons$/$day$)$

X $($$$/$day$)$

$40$

$80$

$145$

$220$

Y $($$$/$day$)$

$80$

$110$

$155$

$210$

Suppose the government would like to reduce the total smoke emissions to $2$ tons$/$day$,$ how much tax per ton should the government set to achieve this goal?

$$46$

$$76$

$$66$

$$56$