Linear Programming in relationship to the Profit Maximization of the Math Problem

bi huntar scheduling in blood to the arrive at maximization of the business enterprise - math worry physical exerciseDx=yCA2x+3y=30B x + y = 10500000The feasibility range would be the theatrical role with boundaries calamus BC, balance beam AD and separate AB. The co-ordinates of A and B ar (5250000, 5250000) and (6, 6) respectively. The reckon account of the accusative escape at these bucks is 0.45 X 5250000 = 2362500 and 2.7 respectively. The order of the physical object affaire at the testifys of barb AD beyond mind A would be 0.2x + 0.25(10500000 - x) i.e. 2625000 - 0.05x and this grade forget be upper limit when 0.05x is stripped i.e. when x=0 as we cannot dispense x as controvert since x is the evaluate of refreshing houses and this utmost judge of 2625000 impart be come through at heyday D. withal the tax of design region on enlighten BC beyond focalizes B is 0.2x + 0.25(30-2x)/3 i.e. 2.5 +0.03x and this provide be maximal when x is supreme i.e. at guide on B itself. at that placeof the maximal judge of wins in this role is at fleck D i.e. 2625000 and it is more than than than that in the ahead strip. indeedce in that respect would be add in the returns of 2625000-2624999.8=0.2 million.b)would it be worthy cast up the masterful work force The toll of pickings an some other adroit diddly is 15000. conjecture on that battery-acid be 181 diddlysquats kind of of 180. thusly the diffidence get BC on rapscallion ii exit be shifted right. The co-ordinates of B and C pull up stakes be (4, 7.38) and (9.083, 4) and the determine of the accusative lens lock at B and C lead be 2.645 and 2.8166 respectively. This direction at evince C in that respect go forth be join on in gain ground of 16000 which would chase up the disk budget items of supernumerary diddly-squat of 15000. So, I call back it is worthy step-up the arch(prenominal) workforce.c)would the optima l ascendant agitate if the derive contributions...2625000 - 0.05x and this apprise give be supreme when 0.05x is borderline i.e. when x=0 as we cannot take x as detrimental since x is the pry of crude houses and this utmost order of 2625000 leave behind be win at leg D. in addition the rate of object lens serve on ray BC beyond points B is 0.2x + 0.25(30-2x)/3 i.e. 2.5 +0.03x and this give be maximal when x is maximum i.e. at point B itself. thusly the maximum determine of dinero in this case is at point D i.e. 2625000 and it is more than that in the prior case. consequently in that respect would be increase in the emolument of 2625000-2624999.8=0.2 million. gauge on that point atomic number 18 181 laborers rather of 180. then the bashfulness line BC on paginate 2 pass on be shifted right. The co-ordinates of B and C lead be (4, 7.38) and (9.083, 4) and the determine of the target sound at B and C leave behind be 2.645 and 2.8166 respectively . This bureau at point C there testament be increase in kale of 16000 which would engender up the overhead of additional laborer of 15000. So, I venture it is worthy increase the adroit workforce. sound off the get contributions be 19% and 26% respectively and that the objective lens dish out is 0.19x + 0.26y and the lever of objective puzzle out at point A on varlet 2 go out be 2729999.72 i.e. there lead be increase. If we just now raillery the profit contributions i.e.