Chapter 9, Problem 9.2P

To determine

(a)

The tipping fee to be charged.

Answer to Problem 9.2P

The tipping fee to be charged is $13.437\text{dollars}/\text{ton}$ .

Explanation of Solution

Given:

Solid waste generated per year is $40000\text{tons}$ .

Calculation:

Write the expression to calculate the tipping fee.

  $F=\left(\frac{\left(\frac{P_{\text{t}}}{P_{\text{h}}}\times m_h+M_{\text{T}}\right)\times f}{M_T}\right)$  ..... (I)

Here, the tipping fee is $F$ , the number of people per household in Recycleville is $P_{\text{h}}$ , the number of people in Recycleville is $P_{\text{t}}$ , the waste production per year from Trashville is $M_{\text{T}}$ , the charge of solid waste in landfill in Recycleville is $f$ and the solid waste produced from Recycleville per year is $m_{\text{h}}$ .

Substitute $4\times {10}^4\text{tons}/\text{year}$ for $M_{\text{T}}$ , $\$10\text{per}\text{ton}$ for $f$ , $\text{1}\text{.1}\text{tons}/\text{home}/\text{year}$ for $m_{\text{h}}$ , $\text{2}\text{.4}\text{person}/\text{home}$ for $P_{\text{h}}$ and

  ${\text{3×10}}^{\text{4}}\text{person}$ for $P_{\text{t}}$ in Equation (I).

  $\begin{array}{c}F=\left(\frac{\left(\frac{{\text{3×10}}^{\text{4}}\text{person}}{\text{2}\text{.4}\text{person}/\text{home}}\times \text{1}\text{.1}\text{tons}/\text{home}/\text{year}+4\times {10}^4\text{tons}/\text{year}\right)\times \$10\text{per}\text{ton}}{4\times {10}^4\text{tons}/\text{year}}\right)\\ =\left(\frac{537500}{4\times {10}^4}\right)\text{dollars}/\text{ton}\\ =13.437\text{dollars}/\text{ton}\end{array}$

Conclusion:

The tipping fee is calculated by dividing number of people in household, waste production/year, charge of solid waste in landfill and solid waste produced /year.

To determine

(b)

The change in duration to close the landfill if Recycleville accepted the waste from town Trashville.

Answer to Problem 9.2P

The change in duration to close the landfill if Recycleville accepted the waste from Trashville is $5.41\text{years}$ earlier from the original duration.

Explanation of Solution

Given:

Solid waste generated per year is $40000\text{tons}$ .

Calculation:

Write the expression to calculate the time difference between the two cases.

  $t_0-t_{\text{t}}=\left(\frac{C}{\frac{P_{\text{t}}}{P_{\text{h}}}\times m_{\text{h}}}\right)-\left(\frac{C}{\frac{P_{\text{t}}}{P_{\text{h}}}\times m_{\text{h}}+M_{\text{T}}}\right)$  ..... (II)

Here, the actual life of the landfill is $t_0$ and the solid waste coming from Trashville is $t_{\text{t}}$ and the capacity of the landfill in Recycleville is $C$ .

Substitute $4\times {10}^4\text{tons}/\text{year}$ for $M_{\text{T}}$ , $f$ , $\text{1}\text{.1}\text{tons}/\text{home}/\text{year}$ for $m_{\text{h}}$ , $\text{2}\text{.4}\text{person}/\text{home}$ for $P_{\text{h}}$ , ${\text{10}}^{\text{5}}\text{tons}$ for $C$ and ${\text{3×10}}^{\text{4}}\text{person}$ for $P_{\text{t}}$ in Equation (II).

  $\begin{array}{c}{t}_0-t_{\text{t}}=\left(\begin{array}{l}\left(\frac{{\text{10}}^{\text{5}}\text{tons}}{\frac{{\text{3×10}}^{\text{4}}\text{person}}{\text{2}\text{.4}\text{person}/\text{home}}\times \text{1}\text{.1}\text{tons}/\text{home}/\text{year}}\right)\\ -\left(\frac{{\text{10}}^{\text{5}}\text{tons}}{\frac{{\text{3×10}}^{\text{4}}\text{person}}{\text{2}\text{.4}\text{person}/\text{home}}\times \text{1}\text{.1}\text{tons}/\text{home}/\text{year}+4\times {10}^4\text{tons}/\text{year}}\right)\end{array}\right)\\ =\left(7.27-1.86\right)\text{years}\\ =5.41\text{years}\end{array}$

Conclusion:

The change in time is calculated by dividing solid waste and by assuming actual life of landfill and waste coming from Trashville .

To determine

(c)

The way to deal with the solid waste coming from Trashville as a mayor of Recycleville.

Explanation of Solution

If Recycleville accepts the solid waste from town Trashville, then the landfill has to be closed $\text{5}\text{.41}\text{years}$ earlier than the designed life for the Recycleville.

Therefore, the solid waste coming from Trashville should be limited, and a dialogue should be held with the mayor of Trashville to install their landfill plant such that they don’t need to be sent to Recycleville.

The solid waste from Trashville can be accepted for some specified duration but cannot be done on a permanent basis as this will affect the Recycleville’s landfill’s life.