Question

The expense equation for a new business is E = 4.55q + 28,500. If the owners have $100,000 to start up the business, what quantity can they produce initially if they spend all of this money on production? Round to the nearest whole product.

Answer 1

The owners can produce an initial quantity of 15,714 units if they spend all of the $100,000 on production.

Step-by-step explanation:

The question is asking how much quantity can the owners produce initially if they spend all of the $100,000 on production. To find the answer, we need to set the expense equation equal to $100,000 and solve for q. The expense equation is given as E = 4.55q + 28,500. So, we have 4.55q + 28,500 = 100,000. Subtracting 28,500 from both sides gives us 4.55q = 71,500. Dividing both sides by 4.55 gives us q = 15,714.29. Rounding to the nearest whole product, the owners can produce an initial quantity of 15,714 units if they spend all of the $100,000 on production.