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QM1 : Math Skills for Business

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A company has a profit function P(q) that depends on the quantity

produced, denoted as q (in thousands of units). The profit is measured

in thousands of euros.

The marginal profit function is expressed as: P'(q) = 25 - 1.4*q.

What quantity (q) maximizes the profit P(q)?

Round to one decimal place.

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The

tangent line to the curve of function f at the

point

(-2 , -4)

passes

through the point

(3 , -7).

Find f'(-2) (

the

derivative of f at

x = -2).

Round to 2 decimal places.

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f(x) = 3*x^2 -4*x +9

What is f'(3), the derivative of f at x = 3?

Round to 2 decimal places.

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f(x) = -3*x^2 +5*x -3.

What is the x value of the vertex?

Round to 2 decimal places.

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