{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":2174,"title":"Minimal cost","description":"A power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstream from P. The cable has to be taken across the river, under water at a cost of $CW/m. On land the cost is $CL/m. What is the minimum cost?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370px 8px; transform-origin: 370px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstream from P. The cable has to be taken across the river, under water at a cost of $CW/m. On land the cost is $CL/m. What is the minimum cost?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = minimumdist(W,L,CW,CL)\r\n  W=Width\r\n%L=length\r\n%CW=cost of underwater cabling\r\n%CL=cost of Land cabling\r\nend","test_suite":"%%\r\nW=200;\r\nL=400;\r\nCL=3;\r\nCW=6;\r\ny_correct = 2239;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))\r\n\r\n%%\r\nW=200;\r\nL=200;\r\nCL=3;\r\nCW=5;\r\ny_correct = 1400;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))\r\n\r\n%%\r\nW=100;\r\nL=200;\r\nCL=2;\r\nCW=3;\r\ny_correct = 623;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))\r\n\r\n%%\r\nW=48;\r\nL=36;\r\nCL=3;\r\nCW=5;\r\ny_correct = 300;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":17228,"edited_by":223089,"edited_at":"2023-01-07T18:11:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":68,"test_suite_updated_at":"2023-01-07T18:11:17.000Z","rescore_all_solutions":false,"group_id":37,"created_at":"2014-02-11T13:54:22.000Z","updated_at":"2026-05-25T03:58:14.000Z","published_at":"2014-02-11T13:54:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstream from P. 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What is the minimum cost?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370px 8px; transform-origin: 370px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstream from P. The cable has to be taken across the river, under water at a cost of $CW/m. On land the cost is $CL/m. What is the minimum cost?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = minimumdist(W,L,CW,CL)\r\n  W=Width\r\n%L=length\r\n%CW=cost of underwater cabling\r\n%CL=cost of Land cabling\r\nend","test_suite":"%%\r\nW=200;\r\nL=400;\r\nCL=3;\r\nCW=6;\r\ny_correct = 2239;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))\r\n\r\n%%\r\nW=200;\r\nL=200;\r\nCL=3;\r\nCW=5;\r\ny_correct = 1400;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))\r\n\r\n%%\r\nW=100;\r\nL=200;\r\nCL=2;\r\nCW=3;\r\ny_correct = 623;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))\r\n\r\n%%\r\nW=48;\r\nL=36;\r\nCL=3;\r\nCW=5;\r\ny_correct = 300;\r\nassert(isequal(floor(minimumdist(W,L,CW,CL)),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":17228,"edited_by":223089,"edited_at":"2023-01-07T18:11:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":68,"test_suite_updated_at":"2023-01-07T18:11:17.000Z","rescore_all_solutions":false,"group_id":37,"created_at":"2014-02-11T13:54:22.000Z","updated_at":"2026-05-25T03:58:14.000Z","published_at":"2014-02-11T13:54:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA power house, P, is on one bank of a straight river W meters wide, and a factory, F, is on the opposite bank L meters downstream from P. 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