3. For this problem, we will modify Exercise 6, the bin-packing problem from the integer programming practice problems. Modify the solution to include the following requirements: (a) Commercials 3 and 7 come from competing companies. To diversify the our commer- cial breaks, we would like for their commercial to appear in separate breaks. (b) The company that paid for commercial 2 paid us extra money to ensure their com- mercial appears in a break that lasts for at most 40 seconds. (c) For every used commercial break, either the break is between 30 and 35 seconds or is at least 50 seconds. Hint: 0