Question

A company is considering a new manufacturing process in one of its plants in an effort to save money. The company estimates that the rate of savings can be modeled by S (x ) = 125 – x2 where x is time in years and S (x ) is given in thousands of dollars per year. At the same time, the company's operating costs will increase, and the company estimates that the rate at which costs will increase can be modeled by C(x) = x2 + 3x where x is time in years and C (x) is given in thousands of dollars per year. Find the total net savings that the company should expect to realize. (Round limits of integration to 4 decimal places before integrating.) a) $1,335,443.47 b) $774,939.63 c) $1,335.44 d) $573,409.23 e) $573.41 f) None of the above

Answer 1

0 soketion :- Given that Saving role 51x) = 12,5-ce" Jale of petaling cool clo) =a*s30 net. Saving sale of company - Sl&)-CLO) =125-02-cárga) 2 2 = 120-a-a-30 -2222-32+126 vel saving of company will be maximum when wel Javing sake of company will be zero. . 3.0, -202-327/25 - 0 2 ao ba+G=0 room -b3/b²uac Ja hede 0 =-2 b=-3? C=125 a: -(-3)*10-47-2)(125) 21-2) a; 319+1000 -4 a= 32/1009 3+ 31-764760-34076476 +28.76476 4 4 Q : 701911. -80691 Х

We coill take positive value of a since it is time will be oo, The Net daving of company s Cocah-cla)*dy ,70191 7.191 s(-208-30 +125) = da 1+1 a [:Sándor n! 2 70191 7.191 215) 3.7.191 -3 +126 (0) 2 -2/19:19132-0) -31 (7.191) [uppeo limit-laced -0) +125/7.191-0) limit 2 -2/ 3741830068 689) -3 ( ( 31071018') + 125/7.191) [:27:1913 -371-8500) 3 2 ==2(123,9300)-3 (21.85520) +8980879 : -24709000 - 77056572 +898.875 8573041 option is cooect Anouco.

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