Rock “N” Rap

Homework 12 quake n Rap Gabriel Gonzalez Block 4 It costs the confederation an average of $15,000 to produce a shudder CD and an average of $12,000 to produce a knap CD. Also, it takes about 18 hours to produce a judder CD and about 25 hours to produce a rap CD. The company can afford to choke up to $150,000 on production side by side(p) month. Also, the company will spend at to the lowest degree clxxv hours on production. The company earns $20,000 in service on each rock CD it produces and $30,000 in scratch on each rap CD it produces. But the company recently promised its distributor that it would not tucker out more rap music than rock.The company needs to decide how many of each type of CD to make. Note It can make a fraction of a CD next month and come to an end it the next month after. Graph the feasible region. X- of Rock CDs Y- of Rap CDs *Available M superstary X15+Y12*175 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 R ock CDs must be made than Rap CDs) X=0, y0 a. Find at least three combinations of rock and rap CDs that would fall out 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 get by this because this is the highest point in the feasible region. Explain how you found an answer to Question 3 and why you theorise your answer gives the maximum profit.I know this because this is the highest point in the feasible region. I its touchy to tell exactly just by graphing so the problem must be solved algebraically. I know that the lines x=y and 15,000x+12,000y-150,0 00 intersect at the highest point of the feasible region. Because x is equal to y, both(prenominal) coordinates must be the uniform. I inserted 3 different coordinates for both x and y and got that the coordinates (5. 6,5. 6) will give me the greatest profit that is closest to 150,000. A Rock n Rap Variation Suppose the conditions were the alike(p) as in homework 12 except 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 available to spend wont change. Since these are the only two lines that are taken into account, my advice would stay constant.