max $2$x$1+7$x$2-3$x$3$

end

LINDO OUTPUT

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LP OPTIMUM FOUND AT STEP $1$

OBJECTIVE FUNCTION VALUE

$1)20\mathrm{.}00000$

VARIABLE

X$1$

VALUE

REDUCED COST

X$2$

$0\mathrm{.}000000$

$0\mathrm{.}000000$

$1\mathrm{.}000000$

$0\mathrm{.}000000$

$1\mathrm{.}000000$

SLACK OR SURPLUS

$20\mathrm{.}000000$

DUAL PRICES

$0\mathrm{.}000000$

ROW

$2)$

$3)$

NO$.$ ITERATIONS$=$

$0\mathrm{.}000000$

$2\mathrm{.}000000$

RANGES IN WHICH THE BASIS IS UNCHANGED:

OBJ COEFFICIENT RANGES

$($Resource $1)$

$($Resource $2)$

$??$

VARIABLE

CURRENT

COEF

K$1$

$2\mathrm{.}000000$

X$2$

$7\mathrm{.}000000$

X$3$

$-3\mathrm{.}000000$

ALLOWABLE

ALLONABLE

INCREASE

DECREASE

$1\mathrm{.}000000$

$0\mathrm{.}250000$

$1\mathrm{.}000000$

INFINITY

$1\mathrm{.}000000$

INFINITY

RIGHTHAND SIDE RANGES

ROW

CURRENT

ALLOWABLE

ALLONABLE

RHS

INCREASE

DECREASE

$2$

$30\mathrm{.}000000$

$3$

$10\mathrm{.}000000$

INFINITY

$20\mathrm{.}000000$

$20\mathrm{.}000000$

$($Resource $1$

$10\mathrm{.}000000$

$($resource $2$ Please fill in the blanks by using an integer number $($can be negative, positive or $0).$ Typo mistakes will not be accepted.

$(5$ points$)$ Suppose your friend offers X TL$,$ in return of $40$ units of Resource $2.$ If the X TL is greater than Blank $1.$ Fill in the blank, read surrounding text.

$,$ you will accept his offer.

$(5$ points$)$ For the given problem above if the objective function coefficient of X$1$ is increased to $3,$ what will be the new objective function? Blank $2.$ Fill in the blank, read surrounding text.

$(5$ points$)$ For the given problem above if the right$-$hand$-$side coefficient of Resource $2$ is decreased to $8,$ what will be the new objective function? Blank $3.$ Fill in the blank, read surrounding text.

$(5$ points$)$ For the given problem above if the right$-$hand$-$side coefficient of Resource $1$ is increased to $35,$ what will be the new objective function?