Questio associated with product 1. The related integral variable Xi and binary v
ID: 431064 • Letter: Q
Question
Questio associated with product 1. The related integral variable Xi and binary variable Yi are n 9, 10, and 11 are related to a fixed charge problem, in which a fixed charge of defined as follows: x, = number of units of product 1 to be produced, an integer Y1 = 1 ifX1>=1, and 9. What does the expression "780Y," mean? a. The expense of the $780 fixed charge in any case. b. The $780 fixed charge is spent if Y-1, which is not spent if Yi-0 c. It is the total cost of producing project 1, including both fixed and variable costs. 10. Write a constraint to represent: "If X,-0 then Y1-0. 11. Write a constraint to represent: "Xi>=1 then Y,-I."Explanation / Answer
9.
Option B is correct.
780Y1 = 780*1 = 780 when (Y1= 1) when it is produced, else 780*0 = 0 (Y1=0) when it is not produced.
10.
To represent the given condition: When there is no production the Variable and the fixed costs are 0.
So, when no production is there the production then Y1 = 0 (Binary) and so the variable cost mulitplier is also 0, X1=0
11.
To represent the given condition: When there is production the Variable and the fixed costs are positve (Non zero).
So, when production is there the production then Y1 = 1 (Binary) and so the variable cost mulitplier is also positive, X1>=1