Chapter PS, Problem 5.6P

To determine

To find: The number of designers needed to complete the orders in $8\text{h}$ .

Answer to Problem 5.6P

The number of designers needed to complete the orders in $8\text{h}$ is $300\text{designers}$ .

Explanation of Solution

Given information:

The total number of orders is $112$ and three designers can make 2 shirts in $2\text{h}$ .

The rate of design a shirt is calculated as,

  $\begin{array}{c}r=\frac{\text{no}\text{. T-shirts}}{\text{no of designers}\times \text{time taken}}\\ =\frac{2}{3\times 2}\text{per person per hour}\\ =\frac{1}{3}\text{shirts}\text{per designer per hour}\end{array}$

The number of designers needed to complete the orders in $8\text{h}$ is calculated as,

  $\begin{array}{c}n=r\left(112\right)\left(8\right)\\ =\frac{1}{3}\left(112\right)\left(8\right)\\ =298.66\\ \approx 300\text{designers}\end{array}$

Thus, the number of designers needed to complete the orders in $8\text{h}$ is $300\text{designers}$ .