{"id":653,"date":"2016-07-29T13:54:36","date_gmt":"2016-07-29T11:54:36","guid":{"rendered":"http:\/\/www.supagro.fr\/wordpress\/modeleco\/?page_id=653"},"modified":"2024-05-30T14:13:13","modified_gmt":"2024-05-30T12:13:13","slug":"activite-9-qcm-les-valeurs-duales","status":"publish","type":"page","link":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/auto-formation\/sequence1\/cours3-probleme-primal-probleme-dual\/activite-9-qcm-les-valeurs-duales\/","title":{"rendered":"Quiz 9 : Dual values"},"content":{"rendered":"<h4 style=\"text-align: right\"><u>Length : around 5 minutes<\/u><\/h4>\n<p>&nbsp;<\/p>\n<p>The six questions below will allow you to check whether you have understood what dual values are. One or several answers are possible.<\/p>\n<script>\n                            if (window.qmn_quiz_data === undefined) {\n                                    window.qmn_quiz_data = new Object();\n                            }\n                    <\/script><script>window.qmn_quiz_data[\"23\"] = {\"quiz_id\":\"23\",\"quiz_name\":\"quiz9\",\"disable_answer\":0,\"ajax_show_correct\":0,\"progress_bar\":\"0\",\"contact_info_location\":0,\"qpages\":{\"1\":{\"id\":\"1\",\"quizID\":\"23\",\"pagekey\":\"z8A8up9q\",\"hide_prevbtn\":\"0\"}},\"skip_validation_time_expire\":0,\"timer_limit_val\":0,\"disable_scroll_next_previous_click\":0,\"disable_scroll_on_result\":0,\"disable_first_page\":\"0\",\"enable_result_after_timer_end\":0,\"enable_quick_result_mc\":0,\"end_quiz_if_wrong\":0,\"form_disable_autofill\":0,\"disable_mathjax\":0,\"enable_quick_correct_answer_info\":0,\"quick_result_correct_answer_text\":\"Correct! You have selected correct answer.\",\"quick_result_wrong_answer_text\":\"Wrong! You have selected wrong answer.\",\"quiz_processing_message\":\"\",\"quiz_limit_choice\":\"Limit of choice is reached.\",\"not_allow_after_expired_time\":0,\"scheduled_time_end\":false,\"prevent_reload\":0,\"limit_email_based_submission\":0,\"total_user_tries\":0,\"is_logged_in\":false,\"error_messages\":{\"email_error_text\":\"Not a valid e-mail address!\",\"number_error_text\":\"This field must be a number!\",\"incorrect_error_text\":\"The entered text is not correct!\",\"empty_error_text\":\"Please complete all required fields!\",\"contact_field_required_error_text\":\"Please complete all required fields!\",\"url_error_text\":\"The entered URL is not valid!\",\"minlength_error_text\":\"Required atleast %minlength% characters.\",\"maxlength_error_text\":\"Maximum %maxlength% characters allowed.\",\"recaptcha_error_text\":\"ReCaptcha is missing\",\"phone_error_text\":\"Phone number is invalid\"},\"questions_settings\":[]}\n                    <\/script>\t\t<div class='qsm-quiz-container qsm-quiz-container-23 qmn_quiz_container mlw_qmn_quiz  quiz_theme_default  '>\n\t\t\t\t\t\t\t\t<form name=\"quizForm23\" id=\"quizForm23\" action=\"\/wordpress\/modelecoen\/wp-json\/wp\/v2\/pages\/653\" method=\"POST\" class=\"qsm-quiz-form qmn_quiz_form mlw_quiz_form\" novalidate enctype=\"multipart\/form-data\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_hidden_questions\" id=\"qsm_hidden_questions\" value=\"\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_nonce\" id=\"qsm_nonce_23\" value=\"2c7b1b92f3\">\n\t\t\t\t<input type=\"hidden\" name=\"qsm_unique_key\" id=\"qsm_unique_key_23\" value=\"6a53566b359a5\">\n\t\t\t\t<div id=\"mlw_error_message\" class=\"qsm-error-message qmn_error_message_section\"><\/div>\n\t\t\t\t<span id=\"mlw_top_of_quiz\"><\/span>\n\t\t\t\t\t\t\t<section class=\"qsm-page \">\n\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-4 question-section-id-119 \" data-qid=\"119\">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>What is a dual value ? (2 answers)<\/strong><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class=\"qmn_check_answers \">\n\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question119[]\" id=\"question119_1\" value=\"0\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question119_1\">\n\t\t\t\t\t\t\tThe marginal value associated to a resource constraint.\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question119[]\" id=\"question119_2\" value=\"1\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question119_2\">\n\t\t\t\t\t\t\tThe second possible value of constraints\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question119[]\" id=\"question119_3\" value=\"2\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question119_3\">\n\t\t\t\t\t\t\tThe \u00ab shadow price \u00bb\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question119[]\" id=\"question119_4\" value=\"3\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question119_4\">\n\t\t\t\t\t\t\tThe optimum quantity of resource used under binding constraint\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_119\" value=\"\" \/>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-4 question-section-id-122 \" data-qid=\"122\">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>If the primal programme offers \u201cprofit maximization under resource availability constraints\u201d, what does the dual programme offer ? (2 answers)<\/strong><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class=\"qmn_check_answers \">\n\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question122[]\" id=\"question122_1\" value=\"0\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question122_1\">\n\t\t\t\t\t\t\tProfit minimization under resource availability constraints\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question122[]\" id=\"question122_2\" value=\"1\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question122_2\">\n\t\t\t\t\t\t\tCost minimization of resources under constraint of the distribution of these resources at production value\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question122[]\" id=\"question122_3\" value=\"2\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question122_3\">\n\t\t\t\t\t\t\tIt assigns an economic value to resources\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"qsm_check_answer  mrq_checkbox_class\">\n\t\t\t\t\t\t<input type=\"checkbox\" class=\"qsm-multiple-response-input\"  name=\"question122[]\" id=\"question122_4\" value=\"3\" \/>\n\t\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question122_4\">\n\t\t\t\t\t\t\tIt solves a resource allocation problem\t\t\t\t\t\t<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_122\" value=\"\" \/>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0 question-section-id-125 \" data-qid=\"125\">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>There is a dual programme for :<\/strong><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers '>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question125-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question125\" id=\"question125_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question125_1\">\n\t\t\t\t\tAll resource allocation linear programmes\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question125-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question125\" id=\"question125_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question125_2\">\n\t\t\t\t\tMost resource allocation linear programmes\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question125-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question125\" id=\"question125_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question125_3\">\n\t\t\t\t\tA certain number of resource allocation linear programmes\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question125-4 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question125\" id=\"question125_4\" value=\"3\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question125_4\">\n\t\t\t\t\tFew resource allocation linear programmes\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question125_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question125\" id=\"question125_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_125\" value=\"\" \/>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0 question-section-id-128 \" data-qid=\"128\">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>What does the dual value of a constraint measure ?<\/strong><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers '>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question128-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question128\" id=\"question128_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question128_1\">\n\t\t\t\t\tThe impact of a small variation in the availability of one of the factors on the objective function\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question128-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question128\" id=\"question128_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question128_2\">\n\t\t\t\t\tThe impact of a small variation in the availability of one of the production factors on the constraint\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question128-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question128\" id=\"question128_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question128_3\">\n\t\t\t\t\tThe impact of a small variation in the availability of one of the factors on the resources\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question128_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question128\" id=\"question128_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_128\" value=\"\" \/>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"quiz_section qsm-question-wrapper question-type-0 question-section-id-131 \" data-qid=\"131\">\n\t\t\t\t\t<div class='mlw_qmn_question ' >\n\t\t<p><strong>What is the dual value of a non-binding constraint ?<\/strong><\/p>\n\t<\/div>\n\t\t<fieldset>\n\t\t<legend><\/legend>\n\t<div class='qmn_radio_answers '>\n\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question131-1 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question131\" id=\"question131_1\" value=\"0\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question131_1\">\n\t\t\t\t\tGreater than or equal to 0\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question131-2 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question131\" id=\"question131_2\" value=\"1\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question131_2\">\n\t\t\t\t\t0\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t<div class=\"qmn_mc_answer_wrap  mrq_checkbox_class\" id=\"question131-3 \">\n\t\t\t\t\t\t\t\t\t\t\t<input type='radio' class='qmn_quiz_radio qmn-multiple-choice-input ' name=\"question131\" id=\"question131_3\" value=\"2\" \/>\n\t\t\t\t\t<label class=\"qsm-input-label\" for=\"question131_3\">\n\t\t\t\t\tStrictly greater than 0\t\t\t\t\t<\/label>\n\t\t\t\t\t \t\t\t\t<\/div>\n\t\t\t\t\t \t\t\t<label style=\"display: none !important;\" for=\"question131_none\">None<\/label>\n\t\t\t<input type=\"radio\" style=\"display: none;\" name=\"question131\" id=\"question131_none\" checked=\"checked\" value=\"\" \/>\n\t\t\t\t<\/div>\n\t<\/fieldset>\n\t<input type=\"hidden\" name=\"answer_limit_keys_131\" value=\"\" \/>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/section>\n\t\t\t\t\t<input type=\"hidden\" name=\"qmn_question_list\" value=\"119Q122Q125Q128Q131Q\" \/>\n\t\t\t\t\t\t\t<div id=\"mlw_error_message_bottom\" class=\"qsm-error-message qmn_error_message_section\"><\/div>\n\t\t\t\t\t<input type=\"hidden\" name=\"qmn_all_questions_count\" id=\"qmn_all_questions_count\" value=\"5\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"total_questions\" id=\"total_questions\" value=\"5\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"timer\" id=\"timer\" value=\"0\" \/>\n\t\t\t\t\t<input type=\"hidden\" name=\"timer_ms\" id=\"timer_ms\" value=\"0\"\/>\n\t\t\t\t\t<input type=\"hidden\" class=\"qmn_quiz_id\" name=\"qmn_quiz_id\" id=\"qmn_quiz_id\" value=\"23\" \/>\n\t\t\t\t\t<input type='hidden' name='complete_quiz' value='confirmation' \/>\n\t\t\t\t\t\t\t\t\t<\/form>\n\t\t\t\t\t\t<\/div>\n\t\t<div style=\"display: none;\" class=\"qsm-popup qsm-popup-slide\" id=\"modal-4\" aria-hidden=\"false\"><div class=\"qsm-popup__overlay\" tabindex=\"-1\" data-micromodal-close=\"\"><div class=\"qsm-popup__container qmn_quiz_container\" role=\"dialog\" aria-modal=\"true\"><div class=\"qsm-popup__content\"><img decoding=\"async\" src=\"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-content\/plugins\/quiz-master-next\/assets\/clock.png\" alt=\"clock.png\"\/><p class=\"qsm-time-up-text\"> Time's up<\/p><\/div><footer class=\"qsm-popup__footer\"><button class=\"qsm-popup-secondary-button qmn_btn\" data-micromodal-close=\"\" aria-label=\"Close this dialog window\" onclick=\"location.reload();\">Cancel<\/button><\/footer><\/div><\/div><\/div>\n<p><a href=\"http:\/\/www.supagro.fr\/wordpress\/modelecoen\/auto-formation\/sequence1\/cours3-probleme-primal-probleme-dual\/\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-4121 alignright\" src=\"http:\/\/www.supagro.fr\/wordpress\/modelecoen\/files\/2018\/11\/backUnit.png\" alt=\"\" width=\"211\" height=\"66\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Length : around 5 minutes &nbsp; The six questions below will allow you to check whether you have understood what dual values are. One or several answers are possible.<\/p>\n","protected":false},"author":92,"featured_media":0,"parent":101,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-onecolumn.php","meta":{"footnotes":""},"class_list":["post-653","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/pages\/653","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/users\/92"}],"replies":[{"embeddable":true,"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/comments?post=653"}],"version-history":[{"count":17,"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/pages\/653\/revisions"}],"predecessor-version":[{"id":4841,"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/pages\/653\/revisions\/4841"}],"up":[{"embeddable":true,"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/pages\/101"}],"wp:attachment":[{"href":"https:\/\/www.supagro.fr\/wordpress\/modelecoen\/wp-json\/wp\/v2\/media?parent=653"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}