WEBVTT
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Okay, so here we have the function t X
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lie. It's next to the fourth sixteen White of
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the fourth, minus thirty two x. Why plus
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forty and t is time and X is thousands of
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dollars on quality control wise, thousands of dollars and
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consulting. So we're looking over this rectangle, actually
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, is your four for Pax and zero to why
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we want to know the outers values to the area
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of this rectangle is eight. So we're going to
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divide by the area that rectangle one eighth and then
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we just want toe integrate the function over this region
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. So taking anti derivative with respect to why so
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that'LL be why X to fourth plus sixteen fifth slide
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minus sixteen X squared plus forty. Why? Evaluated
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from zero to two. Okay, this is one
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eighth you're in for a worser is going going into
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two x to the fourth. Okay, so this
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is sixteen to to the fifth is thirty two over
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five minus. Uh, see, it's why I
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squared. So sixteen times for sixty four X plus
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eighty the ex. Okay, so now I'll take
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another antiterror evident. Uh, okay. We have
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two fifths x to the fifth. And then whatever
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this, well, we can think about this.
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So this is to force to death. Certitude of
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the ninth. It's five twelve. Okay, there
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, minus thirty two X squared eighty X value,
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mate from zero to four. So we really just
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need a plug in for you. Look so right
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. And what do we get? We get seventy
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eight point four hours is the average time, Which
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is you could tio seventy hours in twenty four,
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Dennis.