Question

A major car company analyzes its revenue, R(x), and costs C(x), in millions of dollars over afifteen-year period. The company represents its revenue and costs as a function of time, in years, x,using the given functions.R(x) 550x3 - 12,000x2 + 83,000x + 7000C(x) 880x3 - 21,000x2 + 150,000x - 160,000The company’s profits can be represented as the difference between its revenue and costs.Write the profit function, P(x), as a polynomial in standard form.

Answer 1

Answer:

$P(x) =-330\cdot x^{3} +9000\cdot x^{2}-67000\cdot x + 167000$

Step-by-step explanation:

The profit function is computed by using the following expression:

$P(x) = R(x) - C(x)$

$P(x) = 550\cdot x^{3} - 12000\cdot x^{2} + 83000\cdot x + 7000 - 880\cdot x^{3} + 21000\cdot x^{2} - 150000\cdot x + 160000$

$P(x) = (550-880)\cdot x ^{3} + (-12000+21000)\cdot x^{2}+(83000-150000)\cdot x + (7000+160000)$

$P(x) =-330\cdot x^{3} +9000\cdot x^{2}-67000\cdot x + 167000$