Question

At the beginning of the school year, a chalk company receives an order for 2000 boxes which is the largest order ever placed. Each box contains 175 grams of chalk. With the efficiency of their product production at 74%, they produce just enough to match the order. What was the theoretical yield?

Answer 1

Answer:

• 259,000 g of chalk.

Explanation:

1) Data:

a) 2000 boxes

b) 175 g / box

c) % yield = 74%

2) Formula:

• % yield = (theoretical yield / actual yield) × 100

3) Solution:

a) Calcualte the actual yield:

• mass of product = 2000 box × 175 g/ box = 350,000 g

b) Solve for the theoretical yield from the % yield formula:

• % yield = (theoretical yield / actual yield) × 100

        ⇒ theoretical yield = % yield × actual yield / 100

             theoretical yield = 74% × 350,000g / 100 = 259,000 g