Pugdy s Auto shop socenty furthased a new hydiaule hif. engine crane, and efectronic diagrostic equprnent. When x reprebents the nurnber ot yeara the equ pmont in in use, then the new equ'pment has an associated rate of savings ghen by S(x)=74.160.351x2 tena of dotias per year. The equ penent also has an operating expense whit an asseciated rate of cost given by C(x)=0.351x2+0.396x tons of dollas por yos, when the oqupenent is in use for x year. The applet above shows the graph of S(x) in blue and C(x) in red. Chechboxes A, B, and C will disgivy three ditterent recions with their tespoctive aress thaded tolated to this problem. The sldor for n will allow you to control the uppor Emit for thele regions. Use the applet to answer the questions (a) Determine how long the new equipment should be unsed in order to maximite savings ahd use your answor to cornplete the sentencils below, Ohint: compare S to Cr before and after point I in the 0 aphy In crder to makimite their savings, Puddy's Auto Shop should use the nerw equipmont for a total of years. A this time, she rate of savings and the rate of cost wal both be equal ta tens of dollabs per yoar (round to 1 docimal place). Equivalently, the rates of savings and cost are both equal fo 5 per year fround to the naarest wisole doliay. (b) Sot up and evaluate the definte integral to deterthine the accumulaled cost of using the few equ pment during the lime period derermined in part fa) For the last blank, select the corresponding ares given by the definite integra (the area in the graph that represents ascumblated costsk. (b) Set up and evaluate the definite integral to determine the accumulated cost of using the new equipment during the time period determined in part For the last blank, select the corresponding area given by the definite integral (the area in the graph that represents accurnulated costs): (c) Set up and evaluate the definite integral to determine the accumulated savings of using the new equipment during the time period determined in p (a). For the last blank, select the corresponding area given by the definite integral (the area in the graph that represents accumulated savings). Accumulated Savings = = = (round to 1 decimal place) in part (a). Notice that thil necwer wil alao be the maximal poss biq advings from the new equipment (lagain, using the antwer from (a) aboke) For the Gatat bierk, belect the corredponding anea g 9 ven by the definie intogral (the area in the graph that fepresents the net acoumulated savings) Net Accumtulated Savinge = lround to 1 decimal placti Whswer shoild mateh the value trom the dopplet. tirhing wil be 3 W H the shop decidest to keep ising the equigrtent dor coe Additand year o kor a botal of teen the net saringe wil hateat be a tetal of s Bimilaly. if the abuphent is decontinuod one your andy lesd ceny uned hor Yours, then the net surings for Pugdy's Aulo bhop wil be 1 Pugdy s Auto shop socenty furthased a new hydiaule hif. engine crane, and efectronic diagrostic equprnent. When x reprebents the nurnber ot yeara the equ pmont in in use, then the new equ'pment has an associated rate of savings ghen by S(x)=74.160.351x2 tena of dotias per year. The equ penent also has an operating expense whit an asseciated rate of cost given by C(x)=0.351x2+0.396x tons of dollas por yos, when the oqupenent is in use for x year. The applet above shows the graph of S(x) in blue and C(x) in red. Chechboxes A, B, and C will disgivy three ditterent recions with their tespoctive aress thaded tolated to this problem. The sldor for n will allow you to control the uppor Emit for thele regions. Use the applet to answer the questions (a) Determine how long the new equipment should be unsed in order to maximite savings ahd use your answor to cornplete the sentencils below, Ohint: compare S to Cr before and after point I in the 0 aphy In crder to makimite their savings, Puddy's Auto Shop should use the nerw equipmont for a total of years. A this time, she rate of savings and the rate of cost wal both be equal ta tens of dollabs per yoar (round to 1 docimal place). Equivalently, the rates of savings and cost are both equal fo 5 per year fround to the naarest wisole doliay. (b) Sot up and evaluate the definte integral to deterthine the accumulaled cost of using the few equ pment during the lime period derermined in part fa) For the last blank, select the corresponding ares given by the definite integra (the area in the graph that represents ascumblated costsk. (b) Set up and evaluate the definite integral to determine the accumulated cost of using the new equipment during the time period determined in part For the last blank, select the corresponding area given by the definite integral (the area in the graph that represents accurnulated costs): (c) Set up and evaluate the definite integral to determine the accumulated savings of using the new equipment during the time period determined in p (a). For the last blank, select the corresponding area given by the definite integral (the area in the graph that represents accumulated savings). Accumulated Savings = = = (round to 1 decimal place) in part (a). Notice that thil necwer wil alao be the maximal poss biq advings from the new equipment (lagain, using the antwer from (a) aboke) For the Gatat bierk, belect the corredponding anea g 9 ven by the definie intogral (the area in the graph that fepresents the net acoumulated savings) Net Accumtulated Savinge = lround to 1 decimal placti Whswer shoild mateh the value trom the dopplet. tirhing wil be 3 W H the shop decidest to keep ising the equigrtent dor coe Additand year o kor a botal of teen the net saringe wil hateat be a tetal of s Bimilaly. if the abuphent is decontinuod one your andy lesd ceny uned hor Yours, then the net surings for Pugdy's Aulo bhop wil be 1