Mamlouk Design is an Egyptian manufacturer of handmade silk rugs. The company manufactures rugs in two different sizes:
1.5 x 2.5 meters and 2 x 3 meters. The manufacturing process depends mainly on the labor required, where each 1.5 x 2.5 meter rug requires 6 labor hours and each 2 x 3 meter rug requires 8 labor hours. There are currently 8 workers who work 10 hrs/day. Mamlouk Design has a contract with a retail store to supply at least 10 units of the 1.5 x 2.5 meter rug and 8 units of the 2 x 3 meter rug per week. The per unit profit for the 1.5 x 2.5 meter rug is E£500 and the per unit profit for the 2 x 3 meter rug is E£700.
Formulate this as an LP problem and solve it graphically to help the company maximize its weekly profit. (Assume 6 working days per week.)