Question

Quill Manufacturing Business makes two models of marking pens. The requirements for each lot of pens...

Quill Manufacturing Business makes two models of marking pens. The requirements for each lot of pens in the three manufacturing departments are given below. All three departments are necessary in the production of both types of pens. The profit for both types of pen is $1000 per lot.
Which constraints are binding?

Fliptop Model

Tiptop Model

Available production hours

Ink Assembly

3

4

36

Molding Time

5

4

40

Plastic

5

2

30

Group of answer choices

Plastic and Molding Time

Ink Assembly and Plastic

Ink Assembly and Molding Time

Ink Assembly

Homework Answers

Answer #1

The software output for this problem is:

Hence,

Optimal solution will occur at x = 2 and y = 7.5. So,

Value of first constraint = 3*2 + 4*7.5 = 36

Value of second constraint = 5*2 + 4*7.5 = 40

Value of third constraint = 5*2 + 2*7.5 = 25

For first and second constraint, LHS = RHS

So,

Ink Assembly and Molding Time are binding costraints.

Option C is correct.

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