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methods to solve the linear programming problem. Math 1324 Flisal Exa61 7) Maxim

ID: 3148815 • Letter: M

Question

methods to solve the linear programming problem. Math 1324 Flisal Exa61 7) Maximize subject to z=6x+7y 3ys12 yeo 10 8 Solve the problem. 28) Of the coffee makers sold in an a ppliance store, 60% have either a faulty swid, or defective mrd2g%have a faulty switch, and 08% have both defects. What is the probability that a coffee maker will have, delect" cord? Express the answer as a percentage 5 24 29) Find the imerse of 1 5 30) For the given simplex tableau, pivot only once about the circled element and write the solution from that result. x1 x2 x3 1 2 2 0 1 43 2 03 0 2 -4 0 1 o Again, pivot only once and read the solution obtained from that result --do not the linear programming problem. completely solve Page 7 of 7

Explanation / Answer

28.
Let A be event of a faulty switch
B be a event of a defective chord

P( A or B) = .06
P(A) = .026
P(A and B) = .008
P(B) = ?

We know :

P(A or B) = P(A)+P(B)-P(A and B)

.06 = .026+P(B)-.008

P(B) = .06-.026+.008 = .042

Hence, the probability that a coffee maker will have defective cord is .042