Problem 2-15 Par, Inc., is a small manufacturer of golf equipment and supplies w

Question

Problem 2-15 Par, Inc., is a small manufacturer of golf equipment and supplies whose management has decided to move into the market for medium- and high-priced golf bags. Par Inc.'s distributor is enthusiastic about the new product line and has agreed to buy all the golf bags Par, Inc., produces over the next three months After a thorough investigation of the steps involved in manufacturing a golf bag, management determined that each golf bag produced will require the following operations: a. Cutting and dyeing the material b. Sewing c. Finishing (inserting umbrella holder, club separators, etc.) d. Inspection and packaging The director of manufacturing analyzed each of the operations and concluded that if the company produces a medium-priced standard model, each bag will require 7/10 hour in the cutting and dyeing department, 1/2 hour in the sewing department, 1 hour in the finishing department, and 1/10 hour in the inspection and packaging department. The more expensive deluxe model will require 1 hour for cutting and dyeing, 5/6 hour for sewing, 2/3 hour for finishing, and 1/4 hour for inspection and packaging. This production information is summarized in the following table:

Explanation / Answer

A.

As all the constraints should be satisfied.

Only graph that is showing the constraints of available hours for each department is 4. Rest all have one or other departments constraint violated.

Hence ans is (iv)

B.

So the correct graphs are depicted again by (ii) and (iv). Though (i) gives correct value, but the constraints are not correctly explained.

But as the objective function is not maximum at (ii), then the max is at (iv).

Which is depicted by point (708,0)

Hence option (iv)

C.

Now 600 has become 750.

Hence option (iv)

(i,ii,iii) 10 9 Not correct 540 252 Optimal 7668 (iv) 10 9 Correct 300 420 Optimal 6780

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