Consider a pair of primal and dual linear programs in standard form. a. what happens to the dual solution if the ath primal constraint is multiplied by a nonzero scalar a? b. what happens to the dual solution if a scalar multiple of one primal constraint is added to another primal constraint? c. what happens to the primal and dual solutions if a scalar multiple of one primal column is added to another primal column?

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

read more on -

step-by-step explanation:

16

step-by-step explanation:

no

step-by-step explanation:

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.