math_1300_s_10_exam_2 - Math 1300 Spring 2010 Exam 2 No...

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Math 1300 Spring 2010 Exam 2 No Work : No Credit Name: SOLUTIONS Student Number: l. A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods will be used, their quantities measured in milligrams. The nutrients supplied by these foods and the dietary requirements are given in the table below. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 10 15 10 7275 Calcium 50 85 btJ 7025 Maqnesium 30 55 50 4875 (u) (6 points) Let 11, 12, and 13 represent the quantities of foods 1, 2 and 3, respectively. Write down a system of linear equations which models the situation above. Solution: 10rr*l5rzlT]rs:1275 50rr * 85rz I 60rs :7925 30rr*5512+50rs:4975 (b) (9 points) Complete the process of Gauss-Jordan elimination to find the required amounts of each food. l-ro t5 10r12751 lto 15 wr275f lto i5 ]01 12751 lso 85 oolzozsl -s'r+R'z-R'? l0 r0 rol esol snrtRr-ns. lt 10 rol osol Lro 5b sol aszsl Lro 55 sol aszsJ I o t0 zol rosol ..show aii work...show all rvork...show all work...show all wolk...show all work...show all work... Page 1 of 6 Solution: Ito -Rr+n.-R., | 0 lo 15 101 i2751 10 rol oso I 0 101 400 l -!Rr,*!R, t -L -R.*Rt-Rc 10 15 0l 875 0 1 025 o o tl +o o oL5o.l 1 01251 o rlaol 10 15 nl r275f o to olzsol tt 0 0 1014001 -15R2*Rt+Rr, -RzlRt-Rt + lro 15 01875 lo 10 olzso Lo o rol+oo Iro o ol 5ool lo r olzsl Lo o rl +ol [1 l0 Lo To meet the dietary requirements, an individual must eat 50 mg of Food 1, 25 of Food 2, and 40 mg of Food 3.
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Math 1300 Spring 2010 Exam 2 No Work : No Credit Name: SOLUTIONS- Student Number: 2.
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