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Exercises · Q12

Q.A firm's total cost function is C(x)=3000+25x+0.5x2C(x) = 3000 + 25x + 0.5x^2, where xx is the number of units produced. Using this function, find

(i) the total cost of producing 4040 units and of producing 4141 units, and
(ii) the additional cost of producing the 41st unit.
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  1. Total cost at 40 and 41 units.

    C(40)=3000+25(40)+0.5(40)2=3000+1000+0.5(1600)=3000+1000+800=₹4,800C(40) = 3000+25(40)+0.5(40)^2 = 3000+1000+0.5(1600) = 3000+1000+800 = ₹4{,}800

    C(41)=3000+25(41)+0.5(41)2=3000+1025+0.5(1681)=3000+1025+840.5=₹4,865.50C(41) = 3000+25(41)+0.5(41)^2 = 3000+1025+0.5(1681) = 3000+1025+840.5 = ₹4{,}865.50

  2. Additional cost of the 41st unit. C(41)−C(40)=4865.50−4800=₹65.50C(41)-C(40) = 4865.50-4800 = ₹65.50 …
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