Question

A company produces a product in batches. Each batch yields 4 grades of the product, and it costs $20,000 per grade regardless of the product grade. If Grade 1 has 448 units, how many units are there in each batch?

a) 112
b) 224
c) 336
d) 448

Answer 1

Each grade in a batch contains 448 units, and since there are 4 grades produced per batch by the company, the total number of units in each batch is 1,792.

Step-by-step explanation:

If a company produces a product in batches, where each batch yields 4 grades of the product, and each grade costs $20,000 to produce, then the total cost to produce one batch regardless of the product grade is the same.

Given that Grade 1 contains 448 units, we can infer that each of the four grades produced in a batch also contains 448 units because the costs and production process are consistent across these grades. Therefore, to find the total number of units in a batch, we would multiply the number of units in one grade by the number of grades.

Total units in a batch = Number of units in Grade 1 × Number of grades = 448 units × 4 grades = 1,792 units

This indicates that there are 1,792 units in each batch, which is not one of the offered options (a, b, c, d). Thus, the question as stated seems to have a discrepancy, or there may be a misunderstanding about the batch production numbers provided.