Question 723071: Q. A manufacturer produces two types of products, pens and markers. For producing these products the manufacturer requires two ingredients, ingredient 1 and ingredient 2. Producing each unit of pen requires 20 units of ingredient 1 and 15 units of ingredient 2, while producing each unit of marker requires 25 units of ingredient 1 and 10 units of ingredient 2. The manufacturer has 800 units of ingredient 1 and 450 units of ingredient 2 per day available for production. According to an administrative decision, the manufacturer must produce at least 20 units of the two products, pens and markers, combined, each day. Furthermore, the previous consumers’ trend shows that the maximum demand for markers has never been more than 30 units per day; hence the manufacturer must not produce more than 30 units of markers per day. The overall manufacturing cost of each unit of pen is 11 monetary units, while the selling price of each unit of pen is 15 monetary units. The overall manufacturing cost of each unit of marker is 8 monetary units, while the selling price of each unit of marker is 14 monetary units.
Develop a linear programming model to maximise the overall daily profit for the
manufacturer gained by producing the two products, pens and markers.
Answer by isotopes786(1)   (Show Source):
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