In February, 2002, each episode of "Becker" was typcially seen in 8.3 Million homes, while each episode of the "Simpsons" was seen in 7.5 million homes. Your marketing services firm has been hired to promote Bald No More Inc.’s, hair replacement process by buying at least 30 commercial spots during the episodes of "Becker and "The Simpsons". The cable company running "Becker" has quoted a price of 00 per spot, while the cable company showing "The SImpsons" has quoted 00 per spot. Bald No More’s advertising budget for the commercials is ,000, and it would like no more than 50% of the total number of spots to appear on "The SImpsons". How many spots should you purchase on each show to reach the most homes?

I started by defining the variables:
x=Spots on Becker
y=Spots on The Simpsons

then isolated the min/max equation: H=8.3x+7.5y

then tried to figure out the other equations:
Price: 2000x+1500y≤70,000
Total spots: x+y≥30
then the third equation is the part i get stuck on.
I tried y≤.5x but that didn’t work.

Can someone help me out with the equations to set up the problem? I’ll do the rest. Thanks!