Consider the same linear programming problem as in Question 1 (LP1). Now suppose the profit of chairs (c₁) can change. Determine the range of values of c₁ for which the optimal solution does not change (i.e. we will get the same optimal solution in terms of the variables). For your reference, see the problem below.

A workshop produces two products: chairs ( x ) and tables ( y ):

The profit is c1= 5€ per chair and c2= 10€ per table.

A workshop produces two products: chairs ( x ) and tables ( y ).

Production is limited by the following resources:

• Labor: x + 4y ≤ 20
• Wood: 2x + y ≤ 19

Determine the optimal production plan and the maximum profit (z).

Observing the following Integer Problem, where x1, x2, and x3 are integer positive variables, select the correct answer:

Considering the following minimization linear program, where the reduced costs at the optimal are c_x1=16.67, c_e2=6.67 and c_x2=16.67, select the correct option:

Considering the following basic solution for a minimization linear program, select the correct option:

Considering the following basic solution for a minimization linear program, select the correct option:

Focusing

only on the subtree after decision D2, a consultant offers their expertise to

better predict demand. They claim a 40% success rate for predicting high demand

and a 75% success rate for low demand.  How much would you pay for the consultancy

services?

Considering

only the subtree after D3, the expected value of perfect information is:

Which

of the following options are correct?

Given

the following unconstrained problem: