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ASSIGNMENT QUESTION 1 TR=-120x+15x =-120x2+15xProfit function =TR-TC =-120x2+15x-(1100x2+7x+1000)=-120x2+15x-1100x2-7x-1000=-0.05x2+15x-0.01x2-7x-1000 =-0.06x2+8x-1000Marginal Cost= C’(x) Cx=1100x2+7x+1000C'x=2100x+7 =150x+7Marginal Profit= P’(x) Px=-0.06x2+8x-1000p'x=-012x+8QUESTION 2 y=x2-52x2+1dydx=2(2x2+1)-6x(x2-5)(2x2+1)2dydx=4x2+2-6x3+30x(2x2+1)2But dx=0.1 x=3 then dy0.1=4*32+2-6*33+30*3(2*32+1)2=39+2-162+90361dy0.1=21361 dy=0.005817=△y=QUESTION 3 416.3x=16 dx=0.3y=4x …….(i) Differentiate and t=51.88=1.56.e5k Divide both sides by 1.56 1.2051=e5k introducelogon both sides ln1.2051=lne5k 0.1866=5k divide both sides by 5 k=0.03731 nearest to tenth of a percentagek=37.31 equatio of CC=1.56et0.03731(ii) C=1.56e12*0.03731=1.631 [...]
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Subject Area: Mathematics
Document Type: Dissertation Proposal
