[5 points] Find the absolute maximum and minimum values of f(x,y).f(x,y)=4x6y-x2-y2/5 points/ A coffee shop sells two types of beverages: espresso and cappuccino. The prices per cup of espresso and cappuccino are p and q, respectively. The demand for each beverage depends on the prices and is given by the following functions:E(p,q)=50-3p2qC(p,q)=40p-4qwhere E(p,q) and C(p,q) represent the number of espressos and cappuccinos sold per day. Find the unit prices p and q that maximize revenue and compute maximum revenue.3./5 points/ Use Lagrange multipliers to find the maximum and minimum values of the functionf(x,y)=2x23y2subject to the constraintg(x,y)=xy-6=0.[5 points/ Lily, the owner of "Sweet Delights Bakery", produces baked goods using x units of labor and y units of ingredients to producef(x,y)=120x34y14units of the product. If a unit of labor costs $80 and a unit of ingredients costs $150, and Lily has a monthly production budget of $100,000, determine how many units of tabor and ingredients Lily should allocate to maximize the total number of baked goods produced.