Question

In order to package a bottle of vitamins, 1 plastic bottle, 1 plastic cap, 2 labels, and 50 vitamins are required. If the manufacturing plant has 5000 vitamins, 150 bottles, 125 caps, and 400 labels, how many packaged vitamins can be produced?

Answer 1

A total of 100 packages of vitamins can be produced from the available resources.

Step-by-step explanation:

To determine the number of packaged vitamins that can be produced, we need to find the limiting factor among the available resources. The number of plastic bottles, plastic caps, labels, and vitamins required for each package is given, as well as the available quantities of each resource. We can find the limiting factor by dividing the available quantity of each resource by the requirement for each package. The smallest result will be the limiting factor. Let's calculate:

- Plastic bottles: 150 bottles / 1 bottle per package = 150 packages

- Plastic caps: 125 caps / 1 cap per package = 125 packages

- Labels: 400 labels / 2 labels per package = 200 packages

- Vitamins: 5000 vitamins / 50 vitamins per package = 100 packages

So, the limiting factor is the number of vitamins available. From the available 5000 vitamins, we can produce a total of 100 packages of vitamins.