The linear programming problem whose output follows determines how many fire red nail polish, bright red nail polish, basil green nail polish, and basic pink nail polish a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be sold. Constraint $1$ measures display space in units, constraint $2$ measures time to set up the display in minutes. Constraints $3$ and $4$ are marketing restrictions.

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MAX $100$x$1+120$x$2+150$x$3+125$x$4$

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Subject to $1.$ x$1+2$x$2+2$x$3+2$x$4<108$

$2.3$x$1+5$x$2+$ x$4<120$

$3.$ x$1+$ x$3<25$

$4.$ x$2+$ x$3+$ x$4>50$

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Optimal Solution:

Objective Function Value $=7475\mathrm{.}000$

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Variable Value Reduced Costs

X$180$

X$205$

X$3170$

X$4330$

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Constraint Slack $/$ Surplus Dual Prices

$1075$

$2630$

$3025$

$40-25$

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Objective Coefficient Ranges

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Variable Lower Limit Current Value Upper Limit

X$187\mathrm{.}5100$ none

X$2$ none $120125$

X$3125150162$

X$4120125150$

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Right Hand Side Ranges

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Constraint Lower Limit Current Value Upper Limit

$1100108123\mathrm{.}75$

$257120$ none

$382558$

$441\mathrm{.}55054$

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By how much can the amount of space decrease before there is a change in the profit?

Group of answer choices

$3$

$2$

$1$

$0$