A Manufacturer Makes Portable Satellite Radios and Auto Satellite Radios

Multiple Choice

A manufacturer makes Portable Satellite Radios and Auto Satellite Radios at plants in Lakeland and Rockledge. At the Lakeland plant, at most 1800 radios can be produced, and the production of the Auto Satellite Radios can be at most 200 fewer than the production of the Portable Satellite Radios. At the Rockledge plant, at most 1200 radios can be produced. The profits on the Portable Satellite Radios are $101 at Lakeland and $93 at Rockledge, and the profits on the Auto Satellite Radios are $71 at Lakeland and $76 at Rockledge. If the manufacturer gets a rush order for 1500 Portable Satellite Radios and 1300 Auto Satellite Radios, how many of each should be produced at each location so as to maximize profits? Find the maximum profit. ​

A) Maximum profit of $252,850 when 1500 portable satellite radios and 250 auto satellite radios are produced at the Laleland plant and 1100 auto satellite radios are produced at Rockledge.​
B) Maximum profit of $227,000 when 1100 portable satellite radios and 300 auto satellite radios are produced at the Laleland plant and 200 portable satellite radios and 1000 auto satellite radios are produced at Rockledge.
C) Maximum profit of $283,975 when 1475 portable satellite radios and 200 auto satellite radios are produced at the Laleland plant and 400 portable satellite radios 1100 auto satellite radios are produced at Rockledge.
D) Maximum profit of $249,800 when 1500 portable satellite radios and 100 auto satellite radios are produced at the Laleland plant and 1200 auto satellite radios are produced at Rockledge.
E) Maximum profit of $300,050 when 1800 portable satellite radios are produced at the Laleland plant and 250 portable satellite radios 1250 auto satellite radios are produced at Rockledge.