For a minimization problem, if one constraints final value (LHS) is 368, and its shadow price is negative, which of the following is true?

The right-hand-side (RHS) value of that constraint is less than 368.

That specific constraint is non-binding.

That specific constraint is binding.

The right-hand-side (RHS) value of that constraint is la

Exhibit 3

A small town wants to build some new recreational facilities. The proposed facilities include a swimming pool, recreation center, basketball court and baseball field. The town council wants to provide the facilities which will be used by the most people, but faces budget and land limitations. The town has $400,000 and 14 acres of land. The daily usage and cost of the facilities (in $1,000) are shown below.

Formulate the ILP for this problem. X_i = 0, 1

Variable	Facility	Usage	Cost ($1,000)	Land (acres)
X1	Swimming pool	400	100	2
X2	Recreation center	500	200	3
X3	Basketball court	300	150	4
X4	Baseball field	200	100	5

Refer to Exhibit 3. Also the council has only enough flat land to build the basketball court or the baseball field. Which the following best describes this constraint?

Group of answer choices

X₃ + X₄ 1

X₃ + X₄ 2

X₃ + X₄ = 2

X₃ + X₄ = 1