Chapter 5, Problem 5.1P

To determine

The personnel and cost required to sort all the refuse from a town and the description of problems involved in its implementation.

Explanation of Solution

Given:

Population of town is $100000$ .

Calculation:

Assume the following;

• Municipal waste generation is $4.5\text{lb}/\text{person}/\text{day}$ .
• The pickers can salvage $1000\text{lb}/\text{hour}/\text{person}$ .
• Working time is $8\text{hour}/\text{day}$ .
• Rate of picking is $\$10\text{per}\text{hour}$ .

Write the expression to calculate the manpower.

  $M=\frac{P\times q}{p_h\times t}$   ...... (I)

Here, the manpower required is $M$ , the population is $P$ , the solid waste production per capita per day is $q$ and the handpicking rate is $p_h$ .

Substitute, $100000\text{person}$ for $P$ , $4.5\text{lb}/\text{person}/\text{day}$ for $q$ , $1000\text{lb}/\text{hour}/\text{person}$ for $p_h$ and $8\text{hour}/\text{day}$ for $t$ in Equation (I).

  $\begin{array}{c}M=\frac{\left(100000\text{person}\right)\times \left(4.5\text{lb}/\text{person}/\text{day}\right)}{\left(1000\text{lb}/\text{hour}/\text{person}\right)\times \left(8\text{hour}/\text{day}\right)}\\ =\left(\frac{450000}{8000}\right)\text{person}\\ =\text{56}\text{.25}\text{person}\\ \approx \text{57}\text{person}\end{array}$

Write the expression to calculate the required cost.

  $C=M\times t\times s$   ...... (II)

Here, the cost for manpower per day is $C$ and the hourly salary rate is $s$ .

Substitute $57\text{person}$ for $M$ , $8\text{hour}/\text{day}$ for $t$ and $\$10\text{per}\text{hour}$ in Equation (II).

  $\begin{array}{c}C=\left(57\text{person}\right)\times \left(8\text{hour}/\text{day}\right)\times \left(\$10\text{per}\text{hour}\right)\\ =\text{\$4560}\text{per}\text{day}\end{array}$

Conclusion:

Thus, the number of personnel required are $\text{57}\text{person}$ .

The cost required is $\text{\$4560}\text{per}\text{day}$ .

The major problem of this proposal is that it has significant effects on the health of manpower.

The solid waste contains volatile compounds that can be absorbed by the body.