23. The PQR manufacturing Company produces four different airplane parts from fabricated sheet metal for several major aircraft companies. The manufacturing process consists of four operations-stamping, assembly, finishing and packaging. The processing times per unit for each operation and total available hours per year to produce these parts are as follows:

The sheet metal required for each part, the estimated annual demand, and the profit per part are as follows:

The company has 15,000 square feet of fabricated metal delivered each month. The company has the following prioritized production goals:
(i) Avoid overtime, which would erode profit levels.
(ii) Meet parts demand.
(iii) Achieve an annual profit of Rs 7,00,00,000.
(iv) Avoid ordering more material since a surcharge is required by the supplier for changing the standard monthly order.
Formulate a goal programming model to determine the amount of each part to produce in order to achieve the company's objectives.

Transcribed Image Text:

Part (hour/unit) Total Hours per year Operation 1 2 3 4 Stamping 0.06 0.17 0.10 0.14 600 Assembly 0.18 0.20 - 0.14 500 Finishing 0.07 0.20 0.08 0.12 550 Packaging 0.09 0.12 0.07 0.15 450