×óù × fó öñ eòó öñ a ðed e ðagù öe id

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Unformatted text preview: ×ÓÙ × fÓ ÖÑ eÒÓ ÖÑ a Ðed e ÐagÙ Öe id e××ÓÙ × A 2 B 2 C 2 A 1 ( a,b ) ( c,d ) ( e,f ) B 1 ( g,h ) ( i,j ) ( k,l ) D é Øe ÖÑ iÒ eÞ Ðe×ÓÒd iØ iÓÒ ××Ù Ö Ðe×Ôa ÖaÑ è ØÖe×ÔÓÙ ÖÕÙ e ÐeÖé×Ù ÐØa Ø ( A 1 ,C 2 ) ×Ó iØÙÒ éÕÙ iÐib Öed ea ×h Ða ×ØÖa Øég ie A 1 ×Ó iØ×ØÖ iØeÑ eÒ ØdÓÑ iÒaÒ ØeÔÓÙ Ö Ðe jÓÙ eÙ Ö Ða ×ØÖa Øég ie B 2 ×Ó iØfa ib ÐeÑ eÒ ØdÓÑ iÒaÒ ØeÔÓÙ Ö Ðe jÓÙ eÙ Ö 4 ÐeÖé×Ù ÐØa Ø ( A 1 ,A 2 ) a Öe ØÓdÓÑ iÒ e ÐeÖé×Ù ÐØa Ø ( B 1 ,B 2 ) E Ü eÖ ie a ××ageÖÐaÒd e ×Ø iÒ n jÓÙ eÙ Ö×d i×ÔÓ ×eÒ ØhaÙÒdÙÒ e×Ôaed e×ØÖa Øég ie×ÕÙ i ÓÑ Ô ÖeÒd Ðe×5eÒ Ø ie Ö×d e5C haÕÙ e jÓÙ eÙ Ö i hÓ i× iØÙÒeÒ Ø ie Ö x i daÒ ××ÓÒeÒ ×eÑ b Ðed e ×ØÖa Øég ie××aÒ ×ÓÒÒa îØÖe ÐehÓ iÜd e×aÙ ØÖe× jÓÙ eÙ Ö× ega iÒdÙ jÓÙ eÙ Ö i i = 1 ,... ,n ×Ù iØe×e×hÓ iÜ×éÖ iØ : 13 10 (50 − x i ) + n summationdisplay j =1 x j . É Ö iÚ eÞ Ðe jeÙ ×ÓÙ × fÓ ÖÑ eÒÓ ÖÑ a Ðe ÐÓ Ö×ÕÙ e n = 2 e ØÕÙ e Ðe×Ôaed e××ØÖa Øég ie×d ehaÕÙ e jÓÙ eÙ Ö ×eÖédÙ iØ { , 50 } D eÕÙ e ÐØÝÔ ed e jeÙ ×ag iØ iÐ? ÒÓÒ × id è Öe Ðe jeÙ ×ÓÙ ××a fÓ ÖÑ egéÒ é Öa ÐeE Ü i×ØeØ iÐd e××ØÖa Øég ie×dÓÑ iÒ ée×?D é Øe ÖÑ iÒ eÞ ÐeÒ ×eÑ b Ðed e×éÕÙ iÐib Öe×d ea ×hC ÓÑÑ eÒ ØeÞ E Ü eÖ ie C ÓÒ × id é ÖeÞ Ðe jeÙd eÙÜ jÓÙ eÙ Ö×Óù Ðe×eÒ ×eÑ b Ðe×d e×ØÖa Øég ie××ÓÒ Ø S 1 = S 2 = R e Ø Óù Ðe× fÓÒ Ø iÓÒ ×dÙ Ø iÐiØé×ÓÒ ØdÓÒÒ ée×Ôa Ö u 1 ( x,y ) = x ( y − x ) e Ø u 2 ( x,y ) = y (1 − x − y ) . C a ÖaØé Ö i×eÞe ØÖeÔ Öé×eÒ ØeÞg ÖaÔh iÕÙ eÑ eÒ Ø Ðe×Ó ÖÖe×ÔÓÒdaÒe×d eÑ e iÐÐeÙ Öe×ÖéÔÓÒ ×e×e Ø Ðe × éÕÙ i Ðib Öe × d ea ×heÒ ×ØÖa Øég ie×ÔÙ Öe× E Ü eÖ ie4 C ÓÒ × id é ÖeÞ Ðe jeÙd eÙÜ jÓÙ eÙ Ö×Óù Ðe×eÒ ×eÑ b Ðe×d e×ØÖa Øég ie××ÓÒ Ø S 1 = S 2 = R e Ø Óù Ðe× fÓÒ Ø iÓÒ ×dÙ Ø iÐiØé×ÓÒ ØdÓÒÒ ée×Ôa Ö u 1 ( x,y ) = x 2 − 2 xy e Ø u 2 ( x,y ) = xy − y 2 . ÓÒ ØÖeÞÕÙ ee jeÙÒadÑ e ØÔa ×déÕÙ iÐib Öed ea ×heÒ ×ØÖa Øég ie×ÔÙ Öe× jÙiÐÐeØ8 héÓÖiede×jeÙÜEÜeÖie× FÓe××ÐeÖ E Ü eÖ ie5 E Òh èÖe × ÒÓb je Øe×ØÑ i×aÙÜeÒh è Öe×ÓÙ Øah e ØeÙ ÖÔÓ ØeÒ Ø ie Ð i ∈ { 1 ,... ,n } a ØØÖ ibÙ eÙÒ eÚa ÐeÙ Ö v i ÐÓb je ØaÒ ×Ô e ÖØed egéÒ é Öa ÐiØé×ÙÔÔÓ ×ÓÒ ×ÕÙ e v 1 > v 2 > ··· > v n > eÑ éaÒ i×Ñ eda ØØÖ ibÙ Ø iÓÒd e ÐÓb je Øe×ØÙÒ eeÒh è Öe×ÓÙ ×Ô Ði×e ÐÐé :Ðe×ah e ØeÙ Ö×ÔÓ ØeÒ Ø ie Ð× ×ÓÙÑ e ØØeÒ Ø× iÑ Ù ÐØaÒ éÑ eÒ ØÙÒ eÓÖe ÙÒÒÓÑ b ÖeÔÓ × iØ if ×ÓÙÑ i×edaÒ ×ÙÒ eeÒÚ e ÐÓÔÔ eah e Øée Ób je Øe×Øa ÐÐÓÙ éaÙÔ ÐÙ ×ÓÖaÒ Ø ×...
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