Homework 6

questions 1,3,4,5 and 6

DETAILS ASK YOUR TEACH If the TOTAL cost function for a product is C(x)=810 + 0.1x 2 dollars, (810 plus 0.1 times x-squared) producing how many units, x, will result in a minimum AVERAGE cost? Oo O $810 O 90 O $183 DETAILS ASK YOUR TEACHER Suppose that a companys sales volume, y (in thousands of units) is related to its advertising expenditure, x (in thousands of dollars) according to: xy - 20x + 10y = 0. (xy minus 20x plus 10y equals zero) Find the rate of change of sales volume with respect to advertising expenditures when sales volume is $10,000 and advertising expenditure is $10,000. O -0.997 10.002 10002 O 0.5DETAILS The marginal cost for a product is: MC = 6x + 4 dollars per unit. If the cost of producing 100 items is $31,400, find the total cost function. 3x2 + 4x + 1000 O 3x2 + 4x + 31,400 O 6x2 + 4x + C 6x2 + 4x + 100 Submit Answer6. DETAILS NOTE: I is used instead of normal integration symbol. Use integration by parts to evaluate: I ( x In(x) ) dx . Integrand equals x raised to fifth power times natural log of x. O 5x4 In(x) + x4 + C O 1/6 x6 In(x) - 1/36 x6 + C O (x6 ex) /6 + C O x4 In(x) - 5/4 x4 + C5. DETAILS NOTE: An I is used in place of the normal integral symbol! Evaluate the integral I [20 / (e(8-10x)) dx. The integrand equals 20 divided by [e raised to power of (8 - 10x)]. O 2e(8-10x) + C O Be (10x-8) + C O ze (10x-8) + C 8e(10x+8) + C