Question

A machine cell uses 195 pounds of a certain material each day. Material is transported in vats that hold 25 pounds each. Cycle time for the vats is about 2.25 hours. The manager has assigned an inefficiency factor of .10 to the cell. The plant operates on an eight-hour day. How many vats will be used?

Answer 1

Answer:

Number of vats used is 3

Explanation:

Number of pounds used per hour, D = 195 ÷ 8

= 24.375 pounds per hour

Cycle time, T = 2.25

Inefficiency factor, e = 0.19

Material held in vats, C = 25 pounds

Now,

Let, n be total number of vats

Thus,

n = $\frac{DT(1+e)}{C}$

on substituting the respective values, we get

n =$\frac{25.75\times2.25\times(1+0.10)}{25}$

or

n = 2.413 ≈ 3

Number of vats used is 3  [since vats cannot be in fraction]