A company produces x units of commodity A and y units of commodity B each hour. The company can sell all of its units when commodity A sells for p=80-10x dollars per unit and commodity B sells for q=100-4y dollars per unit. The cost (in dollars) of producing these units is given by the joint-cost function C(x,y)= 5xy+7. How much of commodity A and commodity B should be sold in order to maximize profit?
- Commodity A: _______ units
- Commodity B: _______ units