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Back to 11.6 Solving Systems with Gaussian Elimination

11.6 Exercise 80

Avg difficulty 2.5

Set up the augmented matrix that describes the situation, and solve for the desired solution.

A major appliance store has agreed to order vacuums from a startup founded by college engineering students. The store would be able to purchase the vacuums for $86 each, with a delivery fee of $9,200, regardless of how many vacuums are sold. If the store needs to start seeing a profit after 230 units are sold, how much should they charge for the vacuums?

OpenStax Algebra and Trigonometry 2e, 11.6 Solving Systems with Gaussian Elimination, exercise 80

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.