Question

The cost of recycling 4 tons of paper is given in the following table. (tons) C(q) (dollars) 1000 2400 1600 3100 2200 3640 2800 3840 3400 3900 4000 4500 Estimate the marginal costat q=2200. Interpret your answer in terms of cost. Round your answers to the nearest cent. C (2200) This means that recycling the 2201st ton of paper will cost around SU At approximately what production level does marginal cost appear smallest? 2800 S Q S 3400 The marginal cost appears to be smallest on the interval

Answer 1

acla aq Marginal cost - Marginal cost at an change in quantity a 2200 AC (2200) - AC (1600) - 0600 - 2200 $(3640 - 3100) $5.40 1600 - 2200 600 - $0.9 $1 c (2900) ~{$ 1] • This means that recycling ycling the the of paper will cost around 201st ton $ 1. 600 Ć (1600) - 3400-2900 - 1.166 1600 - 1000 c' (2200) = 1 c' (2800) = 3840 1980o) - 3840- 3640 - 0.333 c' (3400) = 3 I 3900 - 3840 -0.ga smallest - 600 c' (4000) = 4500 - 3900 = 600 So, at approximately at 13400 tons of paper marginal cost will be smallest.