The Skyfall Company has a contract to produce 10,000 garden hoses for a large di

Question

The Skyfall Company has a contract to produce 10,000 garden hoses for a large discount chain. Skyfall has four different machines that can produce this kind of hose. Because these machines are from different manufacturers and use differing technologies, their specifications are not the same.

a.   This problem requires two different kinds of decision variables. Clearly define each kind.  
b.   The company wants to minimize total cost. Give the objective function.  
c.   Give the constraints for the problem.  
d.   Write a constraint to ensure that if machine 2 is used, machine 1 cannot be.

Machine Fixed Cost to Set
Up Production Run Variable Cost
Per Hose Capacity 1 675 1.20 5750 2 525 1.40 7250 3 1100 1.10 4100 4 325 2.10 4900

Explanation / Answer

Xi = Number of hoses produced on machine i
If machine i is used then Yi=0 else 1

Minimise the objective function
675Y1 + 525Y2 + 1100Y3 + 325Y4 + 1.20X1 + 1.40X2 + 1.10X3 + 2.10X4

Constraints: X1<=5750Y1
X2<=7250Y2
X3<=4100Y3
X4<=4900Y4

PTS 1
Fixed Costs TOP

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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