Rind the value(s) of the function on the given feasible region. 19) Find the max

Question

Rind the value(s) of the function on the given feasible region. 19) Find the maximum and minimum of z-8x + 8y 19) (0, 4) (6,0) (10, 0) se the Venn diagram below to answer the question. 20) 20) A survey of 138 college students was done to find out what elective courses they were taking. Let A the set of those taking art; B- the set of those taking basket weaving; and C - the set of those taking canoeing. The study revealed the following information: n(A) 45;n(B)-55; n(C)40 n(A nB) 12; n(A nC) -15; n(B nC) 23 n(AnBnC)-2 How many students were not taking any of these electives?

Explanation / Answer

Evaluate value of z = 8x + 8y for each of the corner point - (6,0) ; (10,0) ; (0,4); (0,5) ;(5/2,5)

z(6,0) = 8*6 = 42

z(10,0) = 8*10 = 80

z(0,4) = 32

z(0,5) =8*5 = 40

z(5/2,5) = 8*5/2 + 8*5 = 60

Maximum at (10,0)

Minimum at (0,4)

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