A brewery manufactures three types of beer - lite, regular, and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barlet, 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 available. The brewery realizes a profit of $10 per vat of lite beer, $20 per vat of regular beer, and $30 per vat of dark beer. How many vats of lite, regular, and dark beer should be brewed in order to maximize profit? What is the maximum profit?© BrainMass Inc. brainmass.com February 24, 2021, 2:23 pm ad1c9bdddf
The simplex method is used to find a maximum profit. Constraints and tableaux are shown.