Solve the multipart linear programming question. Write out your solution showing all intermediate steps. Then create a short video to present your solution. Mr. Schmidt has $15,000 to invest in three types of stocks, low-risk, medium-risk, and high-risk. He invests according to three principles. The amount invested in low-risk stocks will be at most $3,000 more than the amount invested in medium-risk stocks. At least $5,000 will be invested in low- and medium-risk stocks. No more than $13,000 will be invested in medium- and high-risk stocks. The expected yields are 6% for low-risk stocks, 7% for medium-risk stocks, and 8% for high-risk stocks. How much money should Mr. Schmidt invest in each type of stock to maximize his total expected yield? Let x be the amount invested in low-risk stocks and y the amount invested in medium-risk stocks. 1. Write the six inequalities associated with this problem. 2. Write the objective function for this problem. 3. Graph your inequalities and label the feasible set. The grid below (units in thousands of dollars) is provided as an example. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 > 5 6 6 07 It EL DI 4. List the vertices of the feasible set