Rock “N” Rap

Homework 12 Rock n swath Gabriel Gonzalez quit 4 It costs the company an average of $15,000 to bring out a flutter CD and an average of $12,000 to produce a rap CD. Also, it takes about 18 hours to produce a stimulate CD and about 25 hours to produce a rap CD. The company can afford to spend up to $150,000 on production next month. Also, the company will spend at least one hundred seventy- fin hours on production. The company earns $20,000 in lettuce on all(prenominal) rock CD it produces and $30,000 in profit on from separately one rap CD it produces. But the company recently promised its distributor that it would not release more rap music than rock.The company needs to reconcile how many of each display case of CD to snitch. Note It can make a fraction of a CD next month and complete it the next month after. Graph the operable region. X- of Rock CDs Y- of Rap CDs *Available Money X15+Y12*clxxv 18(0)+25y=175. 25y=175175/25=7=y, x=0 18x+25(0)=175. 18x=175175/18=9. 7 =x, y=0 *X*Y(More Rock CDs must be made than Rap CDs) X=0, y0 a. Find at least three combinations of rock and rap CDs that would give the company a profit of $120,000, and mark these points in one color on your graph. The combinations do not have to be in the feasible region. ) Profit=x20,000+y30,000 x=6, y=0 x=0, y=4 x=3, y=2 b. In a different color, mark points on your graph that will earn $240,000 in profits. x=12, y=0 x=0, y=8 x=9, y=2 x=3, y=6 x=6, y=4 Find out how many CDs the company should make of each type next month to maximize its profit. It should make 5 and five ninths of each CD to maximize profit. I know this because this is the highest point in the feasible region. Explain how you found an answer to Question 3 and wherefore you think your answer gives the maximum profit.I know this because this is the highest point in the feasible region. I its hard to tell exactly respectable by graphing so the problem must be solved algebraically. I know that the lines x=y and 15 ,000x+12,000y-150,000 intersect at the highest point of the feasible region. Because x is equal to y, both coordinates must be the kindred. I inserted 3 different coordinates for both x and y and got that the coordinates (5. 6,5. 6) will give me the superior profit that is closest to 150,000. A Rock n Rap magnetic declination Suppose the conditions were the same as in homework 12 shut that the profits were reversed.In other words, suppose the company made $30,000 profit on each rock CD and $20,000 profit on each rap CD. Profit 30,000x+20,000y Would this change your advice to the company about how many CDs of each type to produce to maximize its profit? If so, how many of each type should the company make, and what would be the profit? Explain your answer. My answer would stay the same because x will still be equal to y, and the money on tap(predicate) to spend wont change. Since these are the only two lines that are taken into account, my advice would stay constant.