Suppose that a plastic products manufacturer has to decide the weekly production levels of two types of lampshades:Colonial & Italiano. They are produced in packs of a dozen each. There are constraints on the amount of plastic available(500kg) and processing time (40 hrs) each week.
Also, there should at most 700 dozen packages produced in total, and customer demand requires that the number of packs of Colonial lampshades should not exceed the number of packs of Italiano lampshades by more than 350.
The resource & profit data ia as follows:
Colonial $8.00 (profit per pack) 1 (plastic kg per pack) 3(production time minutes per pack)
Italiano $5.00 0.5 4
Formulate this as a LP to find the production levels that maximise the profit, and solve it using the graphical method.