(b) A company that sells universal remotes has derived the profit function: P(x)=-x²+240x– 9500 where the profit is in thousands of dollars and x is in thousands of remotes. Given the domain: 0sx<200, (1) Determine the maximum profit the company can earn. (ii) Using algebra, find the break-even points. (iii) State the outputs for the company to achieve a profit.

Q: A company estimates that it will sell N(x) units of a product after spending x thousand dollars on…

A:

Q: Find the quotient of (x/2 - 2/x) and (1 - x2/4). What are the restrictions on the variable?

A: We have to find the quotient of the given two expression.

Q: Find the Lim(4 ズ→ス ズ-2

A:

Q: Find the domain of f(x) = 28 - 2x.

A: fx=28-2x

Q: Determine the points of inflection

A: According to power rule of differentiation .

Q: If f(x) = 3x + 5x2 – x + 6, find f(0) and f(-2).

A: We have given fx=3x3+5x2-x+6. We have  to find f0 and f-2

Q: Find the axis of symmetry and vertex of f(x) = 5x2 – 4x + 10

A: First, we need to identify the coefficients in the quadratic equation f(x) = ax^2 + bx + c. In this…

Q: Billy is on the roof of a building and drops a tennis ball off the side. The ball follows a path…

A: Here we have to find out how far away from the building the ball landed, we need to determine the…

Q: f(x)=(2x2+5)4

A: f(x)=(2x2+5)4