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The roots of the quadratic function describing the relationship between number of products
produced and overall profit margin are x = 0 and 36. The vertex is a minimum at (18, -35) .
The company actually loses money on their first few products as it costs them more to make
them, but once they hit items they break even again. The worst case scenario is that
they produce items, as they will have a profit of
dollars.
products are sold
The first root tells us that the profit will be 0 when

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x 0 and 36 The vertex is a min class=

Respuesta :

Using quadratic function concepts, it is found that the the spaces are filled by the bold numbers below:

  • Once they hit 36 items they break even again
  • The worst case scenario is that they produce 18 items, as they will have a profit of -35 dollars.
  • The first root tells us that the profit will be 0 when 0 products are sold.

The function has roots at x = 0 and x = 36, and the vertex is a minimum, hence, it is an increasing function, that is:

  • [tex]x > 0, f(x) > 0[/tex]: Not important in the context of the problem.

  • [tex]0 < x < 36, f(x) < 0[/tex]: Negative profit when between 0 and 36 items are produced.

  • [tex]x > 36, f(x) > 0[/tex]: Positive profit when more than 36 items are produced, x = 36 is the break-even point.

Hence, once they hit 36 items they break even again.

The minimum point is (18,-35), hence:

  • The worst case scenario is that they produce 18 items, as they will have a profit of -35 dollars.

[tex]f(0) = 0[/tex], hence the first root tells us that the profit will be 0 when 0 products are sold.

A similar problem is given at https://brainly.com/question/24705734

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