Answered

Type the correct answer in each box. 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.

Answer :

Answer:

The company has to produce more than 92 guitars and sell them for making a profit.

Step-by-step explanation:

These are the cost and revenue functions, where x represents the number of guitars to be manufactured and sold: R(x) = 120x, and  C(x) = 100x + 1840.

Therefore, the condition for no loss-no gain for manufacturing x number of guitars is

R(x) = C(x)

⇒ 120x = 100x + 1840

⇒ 20x = 1840

⇒ x = 92

Therefore, the company has to produce more than 92 guitars and sell them for making a profit. (Answer)

Cetacea

Answer: The company needs to sell at least 92 guitars for a total revenue of $11040 to start making a profit.

To get a profit we must have R(x) - C(x) > 0.

Plugging the given expressions we get:

[tex]R(x) - C(x) > 0\\120x-(100x+1840)>0\\20x-1840>0\\20x>1840\\x>92[/tex]

So x = 92 the revenue is = R(92) = 120(92) = 11040.

Learn more: https://brainly.com/question/1214333

Other Questions