Sagara Shoe Group (SSG) is a well known shoemaker in Indonesia SSG makes three varieties of boots Chelsea, Wingtip, and Desert These boots are made from different combinations of leather and rubber The cost per meter of genuine leather is $15 and for rubber is $9 SSG can receive upto 2000 meters of leather and 1500 meters of rubber weekly The table below presents the data concerning the manufacture of the boots Manufacturing data of the boots boots total meters needed style requirement weekly contracts weekly demand selling price chelsea 0 5 at lease 50 leather 250 300 56 wingtip 0 6 no more than 20 rubber 325 425 60 desert 0 45 as much as 80 rubber 140 335 72 SSG production managers would like you to formulate a mixed integer linear program model for this blending problem to obtain the highest profit while meeting the weekly contract (i e , minimum number of boots to be manufactured) and not exceeding the demand You do not need to solve the model (Hint SSG not only must decide how many boots to make and how much material to purchase, but it also needs to decide how much of leather and rubber are blended into each boot )

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Sagara Shoe Group (SSG) is a well-known shoemaker in Indonesia. SSG makes three varieties of boots: Chelsea, Wingtip, and Desert. These boots are made from

Sagara Shoe Group (SSG) is a well-known shoemaker in Indonesia. SSG makes three varieties of boots: Chelsea, Wingtip, and Desert. These boots are made from different combinations of leather and rubber.

The cost per meter of genuine leather is $15 and for rubber is $9. SSG can receive upto 2000 meters of leather and 1500 meters of rubber weekly. The table below presents the data concerning the manufacture of the boots.

Manufacturing data of the boots

boots	total meters needed	style requirement	weekly contracts	weekly demand	selling price
chelsea	0.5	at lease 50% leather	250	300	56
wingtip	0.6	no more than 20% rubber	325	425	60
desert	0.45	as much as 80% rubber	140	335	72

SSG production managers would like you to formulate a mixed-integer linear program model for this blending problem to obtain the highest profit while meeting the weekly contract (i.e., minimum number of boots to be manufactured) and not exceeding the demand. You do not need to solve the model.

(Hint: SSG not only must decide how many boots to make and how much material to purchase, but it also needs to decide how much of leather and rubber are blended into each boot.)