A small soft drinks company produces only two types of drink, Awefull (A) and Burpit (B). The production manager is concerned to get the best use of the bottling machinery at her disposal, and has asked you to investigate the problem. Essentially, the bottling process involves washing, filling and capping. One bottle of Awefull takes an average of 0.8 seconds to wash, 0.9 seconds to fill and 1 second to cap. A bottle of Burpit requires 1.2 seconds to wash, 1.5 seconds to fill and 1 second to cap. The company has one machine of each type (washing, filling and capping), and each machine is available for 10 hours each day. The company has long standing daily orders for at least 10000 bottles of Awefull, and at least 5000 bottles of Burpit, which must still be honoured. An investigation of the profit margins for the two drinks reveals that the contribution for Awefull is $0.2 per bottle, whilst Burpit generates $0.3 per bottle. The time to switch between productions of the two drinks is negligible, and the company is sure that they can sell all they produce. Formulate a linear programming model for this problem and solve it using either the graphical method or Excel solver. What is the maximum profit?