The average prot over a region R in the xy-plane can be dened as 1 Average prot =2 J! P ( x, y) dA where A is the area of the region R. SimplyCity company determines that the prot for selling x units of lipstick and y units of mascara is modelled by P=(x200)2 (y100)2 +10000. The weekly sales for lipstick vary between 115 and 140 units, and the weekly sales for mascara vary between 70 and 110 units. Estimate the average weekly prot for the two products. (Sketch and shade the region R). (15 Marks)