A company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 25000. They will sell the CD's for $ 98 each. Let x be the number of CD's produced.
Write the total cost
C
as a function of the number of CD's produced.
C
=
$

Write the total revenue
R as a function of the number of CD's produced.
R=$

Write the total profit
P
as a function of the number of CD's produced.
P
=Find the number of CD's which must be produced to break even.
The number of CD's which must be produced to break even is

Round to the nearest number of CDs.

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).