{"id":131584,"date":"2023-02-17T16:35:10","date_gmt":"2023-02-17T11:05:10","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=131584"},"modified":"2023-02-17T16:35:50","modified_gmt":"2023-02-17T11:05:50","slug":"the-corner-points-of-the-shaded-unbounded-feasible-region-of-an-lpp-are-0-4-0-6-1-6-and-3-0","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/education\/the-corner-points-of-the-shaded-unbounded-feasible-region-of-an-lpp-are-0-4-0-6-1-6-and-3-0","title":{"rendered":"The corner points of the shaded unbounded feasible region of an LPP are (0, 4),  (0.6, 1.6) and (3, 0)&#8230;&#8230;&#8230;&#8230;&#8230;"},"content":{"rendered":"<h2>Question 1:The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0) as shown in the figure. The minimum value of the objective function Z = 4x + 6y occurs at<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-131585 size-full\" src=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2023\/02\/1-5.png\" alt=\"\" width=\"316\" height=\"265\" srcset=\"https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2023\/02\/1-5.png 316w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2023\/02\/1-5-150x126.png 150w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2023\/02\/1-5-298x250.png 298w, https:\/\/www.mapsofindia.com\/ci-moi-images\/my-india\/2023\/02\/1-5-300x252.png 300w\" sizes=\"auto, (max-width: 316px) 100vw, 316px\" \/><\/h2>\n<h3>(a)(0.6, 1.6) \ud835\udc5c\ud835\udc5b\ud835\udc59\ud835\udc66 (b) (3, 0) only (c) (0.6, 1.6) and (3, 0) only<br \/>\n(d) at every point of the line-segment joining the points (0.6, 1.6) and (3, 0)<\/h3>\n<h4>The correct answer is -(d) The minimum value of the objective function occurs at two adjacent corner points (0.6, 1.6) and (3, 0) and there is no point<br \/>\nin the half plane 4\ud835\udc65 + 6\ud835\udc66 &lt; 12 in common with the feasible<br \/>\nregion. So, the minimum value occurs at every point of the linesegment joining the two points.<\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Question 1:The corner points of the shaded unbounded feasible region of an LPP are (0, 4), (0.6, 1.6) and (3, 0) as shown in the figure. The minimum value of the objective function Z = 4x + 6y occurs at (a)(0.6, 1.6) \ud835\udc5c\ud835\udc5b\ud835\udc59\ud835\udc66 (b) (3, 0) only (c) (0.6, 1.6) and (3, 0) only (d) [&hellip;]<\/p>\n","protected":false},"author":21830,"featured_media":131334,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":{"0":"post-131584","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-education"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/131584","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21830"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=131584"}],"version-history":[{"count":2,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/131584\/revisions"}],"predecessor-version":[{"id":131588,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/131584\/revisions\/131588"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/131334"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=131584"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=131584"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=131584"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}