The management of City Front Inc. must decide between scrapping or reworking units that do not pass inspection. The company has 11,000 defective units that cost $6.00 per unit to manufacture. The units can be sold as is for $2.50 each or they can be reworked for $3.50 each and then sold for the full price of $9.70 each. If the units are sold as is, the company will also be able to build 11,000 replacement units at a cost of $6.00 each, and sell them at the full price of $9.70 each. What is the incremental income from reworking and selling the units? $68,200
$40,700
$27,500
$106,700

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).