Tieton Ltd. has two departments, Fabrication and Assembly. They produce 2 products. Product T needs 6 hours in fabrication and 6 hours in assembly. Product S needs 2 hours in fabrication and 4 hours in assembly. Fabrication has 24 hours available and Assembly 18. Total variable costs are $ 20 and $15 for T and S respectively. T sells for $22 and S for $16. The constraints for Tieton's 2 departments are
A) 6T + 2S

Question

Tieton Ltd. has two departments, Fabrication and Assembly. They produce 2 products. Product T needs 6 hours in fabrication and 6 hours in assembly. Product S needs 2 hours in fabrication and 4 hours in assembly. Fabrication has 24 hours available and Assembly 18. Total variable costs are $ 20 and $15 for T and S respectively. T sells for $22 and S for $16. The constraints for Tieton's 2 departments are
A) 6T + 2S <= 24 AND 6T + 4S <= 18
B) 6T + 2S <= 18 AND 6T + 4S <= 24
C) 6T + 6S <= 24 AND 2T + 4S <= 18
D) 6T + 6S <= 18 AND 2T + 4S <= 24

Quizplus · Accepted Answer

The first constraint represents the available hours in Fabrication department and the second constraint represents the available hours in Assembly department. Since T takes 6 hours in Fabrication and 6 hours in Assembly, and S takes 2 hours in Fabrication and 4 hours in Assembly, the constraints become:
6T + 2S <= 24 (available hours in Fabrication)
6T + 4S <= 18 (available hours in Assembly)