Question

This​ year, Druehl,​ Inc., will produce57 comma 60057,600hot water heaters at its plant in​ Delaware, in order to meet expected global demand. To accomplish​ this, each laborer at the plant will work160160hours per month. If the labor productivity at the plant is0.250.25hot water heaters per labor​ hour, how many laborers are employed at the​ plant?Number of laborers employed by the plant​ = ____laborers ​(round your answer to the nearest whole​number).

Answer 1

Answer:

120 labourers.

Explanation:

The question is to determine the number of workers employed by the plant

The following steps are undertaken

a) If the annual output of water heaters is 57,600, it means the monthly output = 57,600/ 12 months = 4,800 water heaters per month

b) since the labour hours of each worker is 160 hours per month, then we use the following formula to substitute and know the number of labourers

Let the number of labourers be x.

This means that 160x hours per month = x number of labourers

= Labour input = 160x hours per month

If labour productivity = 0.25;

then, Labour productivity = Output per month /labor input

= 0.25= 4800 heaters/ 160x

= 25/100 = 4800/160x

= 160x = 4800 x 100) ÷ 25

= 160x = 19,200

= 19200/160 = x

120 = x

The plant employed 120 labourers.