A market analyst has projected that the cost of producing d dog leashes will be given by the polynomial
10,500+ 3.9d. The revenue generated from the sale of d dog leashes will be given by the polynomial
d(14.5-0.00003d). Find a polynomial expression for the profit earned from producing and selling d dog
leashes. Evaluate the expression for d = 30,000,

Respuesta :

The polynomial expression for the profit earned from producing and selling d dog will be -0.00003d² + 10.6d – 10500. And the value of the polynomial for d = 30,000 will be $280,500.

What is a profit?

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

A market analyst has projected that the cost of producing d dog leashes will be given by the polynomial 10,500 + 3.9d.

The revenue generated from the sale of d dog leashes will be given by the polynomial d(14.5 – 0.00003d).

Then the profit is given as

P = R – PC

Where P is profit, R is revenue, and PC is the production cost.

P = (14.5d – 0.00003d²) – 3.9d – 10500

P = -0.00003d² + 10.6d – 10500

If d = 30,000, then the profit will be

P = -0.00003(30000)² + 10.6 × 30000 – 10500

P = $280,500

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