Albert's income is m = 800 and prices are p = 20 per unit of the first good and q = 40 per unit of the second good. Albert's preference for consumption bundles containing these two goods can be represented by the utility function u(x,y) = 2x (y+5)=2xy + 10x, where x is the quantity of good 1 and y is the quantity of good 2 in the consumption bundle (x, y). 1. What is the equation for Albert's budget line (i.e. their "budget equation")? 2. Sketch Albert's budget set (mark all important points). 3. Find Albert's optimal consumption bundle (remember to check for interior and corner solutions).