Question

A music company is introducing a new line of acoustic guitars next quarter. These are the cost and revenue functions, where x represents the
number of guitars to be manufactured and sold:
- 120%
ax= 100* 1840
The company needs to sell at least (blank)
guitars for a total revenue of $ (blank)
to start making a profit.

Answer 1

Answer:

The company needs to sell at least  93 guitars for a total revenue of $  11,160 to start making a profit.

Correct statement and question:

A music company is introducing a new line of acoustic guitars next quarter. These are the cost and revenue functions,  where x represents the number of guitars to be manufactured and sold:

r(x) = 120x

c(x) = 100x + 1,840

The company needs to sell at least  ___________ guitars for a total revenue of $  __________ to start making a profit.

Source:

Question that can be found at e-eduanswers dot com. Can't copy and paste the URL because brainly will block it.

Step-by-step explanation:

Let's recall the formula of the break-even point:

Revenue - Cost = 0

Revenue = Cost

Replacing with the information we know, for solving for x:

120x = 100x + 1,840

120x - 100x = 1,840

20x = 1,840

x = 1,840/20

x = 92

If the company needs to sell at least 92 guitars to reach the break-even point, selling 93 will allow them to start making a profit.

r(93) = 120 * 93 = 11,160

c(93) = 100 * 93 + 1,840 = 11,140

Profit = 11,160 - 11,140 = 20