Applications of Systems of linear Equations

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APPLICATIONS OF SYSTEMS OF LINEAR EQUATIONS

78. A guitar factory has a cost of production C(x) = 75x + 50,000. 

a.If the company needs to break even after 150 units sold, at what price should they sell each guitar? Round up to the nearest dollar,

b.Write the revenue function R(x).

79. A moving company charges a flat rate of $150, and an additional $5 for each box.

  1. If a taxi service would charge $20 for each box, how many boxes would you need for it to be cheaper to use the moving company?
  2. What would be the total cost?

Tutor Answer

jesusale932
School: University of Virginia

Here is my answer :)

Applications of Systems of linear
Equations
78. A guitar factory has a cost of production C(x) = 75x + 50,000.
a.If the company needs to break even after 150 units sold, at what price should they sell each
guitar? Round up to the nearest dollar,
𝐶(𝑥) = 75𝑥 + 50,000
For the exercise we have that the company needs breakeven point after 150n units, so the
revenue function is
𝑅(𝑥) = ...

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