A machine does three setups per production cycle. Each setup takes 20 minutes. The processing time is 0.5 minute. What batch size achieves a capacity of 24 units per hour

A batch size of 30units

Explanation:

The set up time is given as 20 Minutes per production cycle, Production cycle  for the machine has 3 cycles

Therefore  the set uo time for the cycles = 20 mins x 3= 60 minutes

Processing time = 0.5 minutes

Capacity = 24units per hour , changing to minutes we have

24 units / 60 minutes = 6/ 15 = 2/5 = 0.4 minutes

Capacity = Batch size / Set up time + batch size x processing  time per unit

0.4 = B/ 60 + B X 0.5

0.4 = B/60 + 0.5B

0.4( 60 + 0.5B) = B

24 + 0.2B=B

24=B-0.2B

0.8B=24

B =24/0.8

Batch size = 30  can be achieve at a capacity of 24 units per hour.

1   all nations face the problem of scarcity because there are limited resources and unlimited wants. nations do not have enough factors of production to produce everything that their population wants. entrepreneurial resources initiate businesses to make new goods and services; labor resources produce goods and services.

2 there are four factors of production: natural resources, labor resources, capital resources, and entrepreneurial resources. natural resources are raw materials from nature that are used to produce goods. trees, water, and grains are natural resources. some natural resources, such as wheat and cattle, are renewable

3 wants

things that you do not need to have in order to survive, but would like to have

needs

things that you must have in order to survive

goods

physical products

services

tasks that a business perform for customers

resources

items that people can use to make or obtain what they need or want

determine

to settle or decide by choice of alternatives or possiblities

4 i really dont know

answer; customers within the organization