State the linear programming problem in mathematical terms, identifying the obje

Question

State the linear programming problem in mathematical terms, identifying the objective function and the constraints. A firm makes products A and B. Product A takes 2 hours each on machine M; product B takes 4 hours on L and 3 hours on M. Machine L can be used for 8 hours and M for 6 hours. Profit on product A is $9 and $7 on B. Maximize profit. State the Inear programeming A frm makes products A and B. Product A takes 2 hours each on machine L and machine M, prodact B takes 4 hours on L and 3 hours on M Machine L an be used for & hours and M for 6hours problem in mathematical terms,identifying the objective function and the censtraints Proft on product A is 59 and 57 on B Maximize prot

Explanation / Answer

Suppose the amount of product A made on machine M is x1.

Suppose the amount of product A made on machine L is x2.

Suppose the amount of product B made on machine M is y1.

Suppose the amount of product B made on machine L is y2.

Objective is to maximise profit

Constraints are that total time for which the respective machines are used is less than the maximum time for which they can be used.

Objective:

max 9(x1+x2)+7(y1+y2)

Constraints:

2(x1)+3(y1) <= 6

2(x2)+4(y2) <=8

x1,x2,y1,y2 >=0

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.