Consider the following constraints and choose the correct answer:
Constraint A: $2 X_{1}^{2}+3 X_{2} \leq 100$ Constraint B: $2 X_{1} X_{2}+3 X_{2} \leq 1000$
A) constraint A can be used in a linear program
B) constraint $\mathrm{B}$ can be used in a linear program
C) neither can be used in a linear program
D) both may be used in a linear program
E) both may be used in an integer linear program, but not in linear program

Question

Quizplus · Accepted Answer

Linear programs require all constraints to be linear. Both Constraint A and Constraint B are non-linear due to the squared term $X_{1}^{2}$ in Constraint A and the product term $X_{1}X_{2}$ in Constraint B.

Consider the Following Constraints and Choose the Correct Answer: Constraint 2X12+3X2≤1002 X_{1}^{2}+3 X_{2} \leq 1002X12​+3X2​≤100

Consider the Following Constraints and Choose the Correct Answer:
Constraint $2 X_{1}^{2}+3 X_{2} \leq 100$