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Home furnishings for department stores. Planning is underway for the production

ID: 447456 • Letter: H

Question

Home furnishings for department stores. Planning is underway for the production of items in the "flower" fabric pattern during the next production period. Inventory of the flower fabric is 3000 yards. Five hundred hours of production tune have been scheduled. Four hundred units of packaging material are available. Each of these values can be adjusted through overtime or extra purchases. Home furnishings would like to achieve a profit of $3200, avoid purchasing more fabric or packaging material, and use all of the hours scheduled. Give the goal programming model.

Explanation / Answer

p1= the qty by which fabric is greater than 3000

m1=the qty by which fabric is lesser than 3000

p2= the hrs by which labor hr is greater than 500

m2=the hrs by which Labor hr is lesser than 500

p3= the qty by which packaging material is greater than 400

m3=the qty by which packaging material is lesser than 400

Min p1 +m2+p3

12B+10C+8D =3200

7B+3C+9D + p1-m1=3000

1.5B+2C+0.5D+p2-m2=500

3B+2C+1D+ p3-m3=400

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