A brewery manufactures three types of beer. lite, regular and dark. each vat of beer requires 6 bags of barley, 1 bag of sugar and 1 bag of hops. each vat of regular beer requires 4 bags of barley, 3 bags of sugar and 1 bag of hops. each vat of dark beer requires 2 bags of barley, 2 bags of sugar and 4 bags of hops. each day the brewery has 800 bags of barley, 600 bags of sugar and 300 bags of hops. the brewery makes profit per vat of lite beer, $20 per vat of regular beer and $30 per vat of dark beer. For this linear programming equation (a) what are the decision variables? (b) what is the objective function? (c) what are the constraints? (d) solve the linear equation.