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A market analyst has projected that the cost of producing d dog leashes will be given by the polynomia
12,000+ 1.9d. The revenue generated from the sale of d dog leashes will be given by the polynomial
d(13.5 -0.00008d). Find a polynomial expression for the profit earned from producing and selling d dog
leashes. Evaluate the expression for d = 29,000.

Respuesta :

Using the profit concept, it is found that the expression is given by:

P(d) = -0.00008d² + 11.6d - 12000.

When d = 29,000, P(d) = 257,120.

How to find the profit?

The profit is the subtraction of the revenues by the cost.

In this problem, we have that the revenues and the cost are given, respectively, by:

  • R(d) = d(13.5 - 0.00008d).
  • C(d) = 12000 + 1.9d.

Hence the expression for the profit is given by:

P(d) = R(d) - C(d)

P(d) = -0.00008d² + 11.6d - 12000.

When d = 29000, the value of the expression is given by:

P(29000) = -0.00008(29000)² + 11.6(29000) - 12000 = 257,120.

More can be learned about the profit concept at https://brainly.com/question/4001746

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