Beyer Pharmaceutical produces three kinds of cold formulas: x thousand bottles of Formula I, y thousand bottles Formula II, and z thousand bottles Formula III. It takes 2.5 hr to produce 1000 bottles of Formula I, 3.5 hr to produce 1000 bottles of Formula II, and 4 hr to produce 1000 bottles of Formula III. The profits for each 1000 bottles of Formula I, Formula II, and Formula III are $170, $230, and $330, respectively. For a certain production run, there are enough ingredients on hand to make at most 7,000 bottles of Formula I, 10,000 bottles of Formula II, and 14,000 bottles of Formula III. Furthermore, the time for the production run is limited to a maximum of 60 hr. How many bottles of each formula should be produced in this production run so that the profit, P (in dollars), is maximized?