Question

A candy company manufactures seven types of hard candy for its mixed candy. The bulk candy is repackaged from 69 containers, each containing 25 pounds of candy. The bulk candy is bagged in 3-pound bags and then packed in boxes for shipping. Each box contains 18 bags of mixed candy. Wilma Jackson-Randle reports that she currently has 600 3-pound bags on hand and 20 boxes of the size that will be used to ship the candy. Decide if enough materials are in inventory to complete the mixing and packaging process.

a) Yes, there are enough materials.
b) No, there are not enough materials.
c) Insufficient information to determine.
d) None of these

Answer 1

There are enough 3-pound bags (600 available) for the repackaged candy from 69 containers, but there are not enough boxes (20 available, 32 needed) to fulfill the requirement for the mixing and packaging process of the candy company.

Step-by-step explanation:

To determine whether there are enough materials in inventory to complete the mixing and packaging process for a candy company, we need to calculate the total needs against what is on hand. The repackaged candy will be placed into 3-pound bags, which are then packed into boxes, with each box containing 18 bags. With 600 bags and 20 boxes on hand, we need to find out if this is sufficient.

First, let's calculate the total weight of candy from the 69 containers:

• 69 containers × 25 pounds/container = 1725 pounds of candy

Now we divide this by the weight of one bag to find the total number of 3-pound bags needed:

• 1725 pounds ÷ 3 pounds/bag = 575 bags required

Since Wilma Jackson-Randle reports having 600 bags, there are enough bags for the candy. Next, we need to check if there are enough boxes:

• 575 bags ÷ 18 bags per box = 31.94 boxes required

Since she has 600 bags and only 20 boxes, although there are enough bags, there are not enough boxes since 32 boxes (rounding up from 31.94) are needed. Therefore, the correct answer is:

b) No, there are not enough materials.