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Operations Management
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<br>XXXXX:<br><br>X = X.X<br>&XX;span XXXXX="text-with-replacments" &XX;the="" XXXXXXXXX="" XXX="" XXXXXX="" is="" estimated="" XX="" be="" $XX="" XXXXXXX.&XX;="" span=""><XX>for june: X.X∗XX+X.6∗39=XX.8+XX.4=42.XXXXXXXXXXXXX=X∗actualmay+(1−α)∗forecastmay=0.4∗XX+X.X∗XX=XX.8+23.4=XX.2<XX><br>for july: X.4∗XX+0.6∗XX.X=21.X+25.XX=XX.XXXXXXXXXXXXXX=α∗actualjune+(1−X)∗forecastjune=X.X∗XX+0.X∗42.X=21.2+XX.XX=46.52<br><br>XXX august: 0.X∗62+0.X∗46.XX=24.X+27.912=XX.712forecastaugust=X∗XXXXXXXXXX+(X−X)∗forecastjuly=0.X∗XX+0.X∗46.XX=24.X+XX.912=XX.XXX<XX><XX>>span class="XXXX-XXXX-replacments"&XX;now, let's XXXXXXXXX XXX mean absolute percent XXXXX (XXXX) for both methods:XXX, XXX's calculate XXX XXXX XXXXXXXX percent XXXXX (mape) for XXXX XXXXXXX:</span><XX><XX>&XX;span XXXXX="text-XXXX-replacments"&XX;for X-month weighted XXXXXX XXXXXXX:for X-month XXXXXXXX XXXXXX average:</span&XX;<XX><XX>june: ∣(47−42.875)/XX∣∗100=8.XXXXXXXXXX=∣(XX−42.XXX)/XX∣∗100=X.XX<br>XXXX: ∣(53−XX.125)/XX∣∗100=5.41mapejuly=∣(53−XX.XXX)/53∣∗100=5.41<XX>august: ∣(XX−XX.25)/XX∣∗XXX=X.96mapeaugust=∣(XX−58.XX)/62∣∗XXX=5.96<br>for exponential smoothing:<XX><XX>XXXX: ∣(47−42.X)/XX∣∗100=9.XXXXXXXXXX=∣(47−XX.2)/47∣∗XXX=X.15<br>july: ∣(XX−XX.52)/XX∣∗XXX=XX.26mapejuly=∣(XX−XX.52)/XX∣∗100=XX.XX<XX>XXXXXX: ∣(62−XX.712)/62∣∗100=XX.XXXXXXXXXXXX=∣(62−52.XXX)/XX∣∗100=14.XX<XX><span class="XXXX-with-replacments">XX mape values, the X-month XXXXXXXX XXXXXX average XXXXXXXX proved to XX XXXX XXXXXXX XXXXXXXXXXX XXX values XX XXXX, XXXX, XXX XXXXXX than XXX exponential smoothing.</span></p>">
