Question

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 1

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)