A manufacturer produces stationeries—binder clips, pencils, erasers, and sharpeners—and packs them in boxes. A box of binder clips will have 12 pieces of binding clips; a pencil box, 12 pencils; sharpener box, 20 pieces of sharpeners; eraser box, 10 pieces of erasers. The following table shows the resource requirements.

The manufacturer wants to determine how many boxes of each product they need to pack to maximize profits.
Formulate a linear programming model to this problem.

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Labor minutes required Binder clips Pencils Erasers Sharpeners Available 40 12 32 8 20000 Packaging in units 4 4 10 6 7000 Space in cm 11 3 10 10 14000 Profit per box in AED 16 5 3 5