Question

A greeting card company can produce a box of cards for $7.50. If the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

Answer 1

Answer:

If cost of one box of card is $7.50 then the no of cards produced is 6667 cards and if cost of one box of card is $10.50 then the no of cards produced is 4762 cards

Step-by-step explanation:

The cost of one box of cards = $7.50

Initial investment = $50,000

No of box of cards produced = Initial investment / cost of one box of card

No of box of cards produced = 50,000/7.50

No of box of cards produced = 6667 cards.

if the cost of one box of cards is increased = $10.50

No of box of cards produced = Initial investment / cost of one box of card

No of box of cards produced = 50,000/10.50

No of box of cards produced = 4762 cards.

So, if cost of one box of card is $7.50 then the no of cards produced is 6667 cards and if cost of one box of card is $10.50 then the no of cards produced is 4762 cards

Answer 2

The number of boxes of cards that must  be produced before the average cost per box falls to $10.50 is $16,667.

How many boxes of cards must be produced?

The equation that models the question is:

$7.50 + ($50,000/x) < $10.50

Where:

x = number of boxes

< = less than sign

In order to determine the value of x, take the following steps:

Combine similar terms:  ($50,000/x) < $10.50 - $7.50

($50,000/x) < $3

Divide both sides by $3

x < $16,667

To learn more about inequality, please check: https://brainly.com/question/5031619