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A market analyst has projected that the cost of producing d dog leashes will be given by the polynomial
9,000+ 3.5d. The revenue generated from the sale of d dog leashes will be given by the polynomial
d(14.5-0.00007d). Find a polynomial expression for the profit earned from producing and selling d dog
leashes. Evaluate the expression for d = 17,000.

Respuesta :

adioabiola

The polynomial expression for the profit earned from producing and selling d dog leashes is - 0.00007d² + 11d - 9,000

Polynomial expression

  • Cost = 9,000+ 3.5d

  • Revenue = d(14.5-0.00007d)

= 14.5d - 0.00007d²

Profit = Revenue - Cost

= 14.5d - 0.00007d² - (9,000+ 3.5d)

= 14.5d - 0.00007d² - 9,000 - 3.5d

Profit = - 0.00007d² + 11d - 9,000

If d = 17,000

Profit = - 0.00007d² + 11d - 9,000

= -0.00007(17,000)² + 11(17,000) - 9,000

= - 0.00007(28,900,000) + 187,000 - 9,000

= -2,023 + 187,000 - 9,000

= 175,977

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