Please explain how to solve part 4 and part 5 with an explanation

The pandemic has shift teaching from the classroom to the Zoom room and with it has made Prof-curs and TAB to adjust their teaching tools. Assume that LoG-i is the only company selling microphones to UCLA. LoGi o'ers two types of microphones \"podcast\" style and \"economy" style. The following chart shows the willingness to pay and cost for each type of microphone and consumers. Willingness to pay Microphone Costs Professors TAs Podcast 40 200 120 Economy 23 80 30 4. LoGi has done some research and learned that there are 15 professors and 85 TAs at UCLA. Based on this, Lo 01' wants to sell podcast mics to professors and economy mics to Tim. What are the prices of each type of mics that allow LoGi to do so? 5. Assume prices for each type of mic are those that you computed in the previous question. The Econ department knows that the TAs are buying the economy mics at this price and wants to give them incentives to buy the podcast mics. So, they come up with the following rule, if a TA buys an economy mic she will have to pay for if out of pocket, but if the TA buys a podcast mic, the department will reimburse 9: dollars to the TA. What is the minimum value of a: such that the T113 will be indifferent between buying the economy mic and the podcast mic