Assume you are asked to devise a seating chart to accommodate some number of guests at a dinner party with a limited num

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Assume you are asked to devise a seating chart toaccommodate some number of guests at a dinner party with a limitednumber of tables and limited seating per table. Determine if thetask is possible or impossible in each of the following scenariosand explain why.(a) The party is to consist of 80 guests, and no more than 15guests can be seated at any of 6 tables.
(b) The party is to consist of 180 guests and no more than 35guests can be at any of 5 tables.
(c) The party is to consist of 200 guests. At most 20 guests canbe seated at 4 “small” tables, while at most 30 guests can beseated at 4 “large” tables.