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C You should charga the prica that yleds ales cf x 23,Go bags of popcam. Since t

ID: 2888012 • Letter: C

Question

C You should charga the prica that yleds ales cf x 23,Go bags of popcam. Since tha functian changas from deraaing to incraasing atx 23,c00, tha minimum proft occurs at thla valuc Submit Anane akEr Mty Tha Maxican shsid ary of ThermcMaster manufacturs an indoar-aitdoor thamametar. Managemant cmates that the prefitin delar) y tha company for the manufactura andsala belon, where x E 0·Find the interval where the pro it fund on Pis increas nQ and the interval here p is decreasing. Lnter your answers usinQ interval notation. unlts of tharmametars aach aek is rapasented hy tha function Eter your a Pix)= 0.005x21 ex 5000

Explanation / Answer

P(x)=-0.005x2+8x-5000

differentiate with respect to x

=>P(x)=-0.005*2x2-1+8*1 -0

=>P(x)=-0.01x+8

increasing when P'(x)>0

=>-0.01x+8>0

=>0.01x-8<0

=>0.01x>8

=>x<8/0.01

=>x<800

increasing in (0,800)

decreasing when P'(x)<0

=>-0.01x+8<0

=>0.01x-8>0

=>0.01x >8

=>x>8/0.01

=>x >800

decreasing in (800,)

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