A manufacturer makes Portable Satellite Radios and Auto Satellite Radios at plants in Lakeland and Rockledge. At the Lakeland plant, at most 2100 radios can be produced, and the production of the Auto Satellite Radios can be at most 100 fewer than the production of the Portable Satellite Radios. At the Rockledge plant, at most 600 radios can be produced. The profits on the Portable Satellite Radios are $80 at Lakeland and $75 at Rockledge, and the profits on the Auto Satellite Radios are $55 at Lakeland and $65 at Rockledge. If the manufacturer gets a rush order for 1300 Portable Satellite Radios and 900 Auto Satellite Radios, how many of each should be produced at each location to maximize profits?
A manufacturer makes Portable Satellite Radios and Auto Satellite Radios at plants in Lakeland and Rockledge. At the Lakeland plant, at most 2100 radios can be produced, and the production of the Auto Satellite Radios can be at most 100 fewer than the production of the Portable Satellite Radios. At the Rockledge plant, at most 600 radios can be produced. The profits on the Portable Satellite Radios are $80 at Lakeland and $75 at Rockledge, and the profits on the Auto Satellite Radios are $55 at Lakeland and $65 at Rockledge. If the manufacturer gets a rush order for 1300 Portable Satellite Radios and 900 Auto Satellite Radios, how many of each should be produced at each location to maximize profits?
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