A company makes two products, X and Y, with the same machines and the same direct labour workforce. The following information is available for the next budget period. During the period there will be a maximum of 20,000 machine hours and 48,000 direct labour hours available, and these resources could be limiting factors on output and sales. If linear programming is used to determine the optimum production quantities of Product X and Product Y, which one of the following would be a constraint in the linear programming model?
A、0.3x + 0.2y ≤ 48,000
B、0.5x + 0.2y ≤ 20,000
C、0.6x + 0.3y ≤ 20,000
D、0.6x + 0.5y ≤ 48,000
A、0.3x + 0.2y ≤ 48,000
B、0.5x + 0.2y ≤ 20,000
C、0.6x + 0.3y ≤ 20,000
D、0.6x + 0.5y ≤ 48,000
【参考答案及解析】
The two maximum constraints would be 0.6x + 0.5y ≤ 48,000 and 0.3x + 0.2y ≤ 20,000
The two maximum constraints would be 0.6x + 0.5y ≤ 48,000 and 0.3x + 0.2y ≤ 20,000