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### Math285HW6

Course: MATH 285, Fall 2011
School: Texas A&M
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Word Count: 390

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285 Homework Math # 6 Due Nov. 2 Texas A &amp; M University Fall 2011 1. [50 points] Use Matlab to solve the following nonlinear problem. Include a graph of the feasible region and the contours of the nonlinear objective function.Perth Mining Company operates two mines for the purpose of extracting gold and silver. For x days of operation, the Saddle Mine costs \$10, 000x2 1000x + 2000 and it yields 50 oz...

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285 Homework Math # 6 Due Nov. 2 Texas A & M University Fall 2011 1. [50 points] Use Matlab to solve the following nonlinear problem. Include a graph of the feasible region and the contours of the nonlinear objective function.Perth Mining Company operates two mines for the purpose of extracting gold and silver. For x days of operation, the Saddle Mine costs \$10, 000x2 1000x + 2000 and it yields 50 oz of gold and 3000 oz of silver. For y days of operation, the Horseshoe Mine costs \$12, 000y 2 500y + 3000 and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost? 2. A company interested in marketing a new carpet cleaner wants to examine the inuence of ve factors on consumer preferencepackage design, brand name, price, a Good Housekeeping seal, and a money-back guarantee. There are three factor levels for package design, each one diering in the location of the applicator brush; three brand names (K2R, Glory, and Bissell); three price levels; and two levels (either no or yes) for each of the two last factors. The following table displays the variables used in the carpet-cleaner study, with their variable labels and values. Variable name package brand price seal money Variable label package design brand name price Good Housekeeping seal money-back guarantee Value label A , B , C K2R, Glory, Bissell \$1.19, \$1.39, \$1.59 no, yes no, yes Data 1,2,3 1,2,3 1,2,3 0,1 0,1 Source: IBM corporation, Example of Carpet Cleaner The hypothetical data le Carpet.xls contains the results of the costumer survey. The columns are in the order of above table with the specied data values. Import the data to Matlab and let A,B,C,D,E be the columns 1 through 5 respectively. 1 How many costumers a ) [2 points] were surveyed? b ) [6 points] are interested in each package design A , B and C ? c ) [10 points] are willing to pay the highest price for the package design A , brand Glory, with seal and money-back guarantee? d ) [10 points] would pay the lowest price for the package design B , brand Bissell, with no seal and no money-back guarantee? e ) [7 points] are interested in seal and money-back guarantee? f ) [5 points] are not interested in seal but want to have money-back guaranteed? 2
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