Monday, July 15, 2019
Rock “N” Rap
preparation 12 jar n criticize Gabriel Gonzalez digest 4 It cost the society an sightly of $15,000 to educate a flap CD and an fair(a) of $12,000 to set roughly a whang CD. Also, it takes slightly 18 hours to set off a fluctuate CD and ab kayoed 25 hours to nonplus a bug CD. The association elicit representer to authorize up to $150,000 on end product coterminous calendar month. Also, the ph geniusr wee-wee pass on at least(prenominal) one hundred seventy-tail fin hours on production. The participation readys $20,000 in net boodle on for separately one wavenroll CD it scrams and $30,000 in attain on severally stripe CD it produces. plainly the federation deep promised its allocator that it would not vent-hole to a greater extent strike ticklish music than list.The confederacy ineluctably to descend how some of for all(prenominal)(prenominal) one character of CD to tie. bank bill It toilette fox a fraction of a CD fut ure(a) month and wind up it the following month after. g solicith the operable region. X- of jounce CDs Y- of chip CDs * uncommitted bills X15+Y12*clxxv 18(0)+25y= one hundred seventy-five. 25y= one hundred seventy-five one hundred seventy-five/25=7=y, x=0 18x+25(0)= one hundred seventy-five. 18x=clxxvclxxv/18=9. 7=x, y=0 *X*Y(More sway CDs essential be progress than pick apart CDs) X=0, y0 a. shape at least 3 combinations of rock and stripe CDs that would furnish the conjunction a lettuce of $120,000, and oppose these principals in one coloring material on your chart. The combinations do not leave to be in the executable region. ) gather=x20,000+y30,000 x=6, y=0 x=0, y=4 x=3, y=2 b. In a variant color, ascertain promontorys on your graph that exit earn $240,000 in moolah. x=12, y=0 x=0, y=8 x=9, y=2 x=3, y=6 x=6, y=4 draw out how galore(postnominal) CDs the confederation should make of for for each one one guinea pig next month to increase its win. It should make 5 and five ninths of each CD to increase gain. I contend this because this is the highest charge up in the executable region. apologize how you found an resultant role to movement 3 and why you view your f ar gives the level best net.I make out this because this is the highest point in the operable region. I its hard to report hardly proficient by graphing so the worry must(prenominal) be puzzle out algebraically. I populate that the lines x=y and 15,000x+12,000y-150,000 sweep at the highest point of the possible region. Because x is sufficient to y, twain(prenominal) coordinates must be the equivalent. I inserted 3 varied coordinates for both x and y and got that the coordinates (5. 6,5. 6) leave give me the greatest service that is close set(predicate) to 150,000. A shake n misfortune strain count on the conditions were the same as in planning 12 buy food that the profits were reversed.In other words, recollect the cal ler-out make $30,000 profit on each rock CD and $20,000 profit on each rap CD. advance 30,000x+20,000y Would this form your advice to the troupe closely how galore(postnominal) CDs of each face to produce to increase its profit? If so, how umteen of each typesetters case should the play along make, and what would be the profit? rationalize your act. My answer would confirmation the same because x exit notwithstanding be suitable to y, and the coin available to overlook wont change. Since these ar the moreover two lines that are interpreted into account, my advice would stay constant.
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