Question

3. H&M has found that its marginal cost, in dollars, for the rth jacket produced is given by C' (r) 0.0003r2 - 0.2x 50 (6 points) Approximate the total cost of producing 400 jackets by computing the sum a. 4 C'(r)Ax, with Ax = 100. (Use a calcula 40 tor to determine the final value.) 30F c'(7 20 10- 100 200 300 400 Number of jackets the interval 0,400]. b. (3 points) Find the exact area under the curve on to determine the final value) (Use a calculator (2 points) Is your answer from part a. an over- or under-approximation? Briefly explain C. Marginal cost (in dollars) 10

Answer 1

Given cl = 0.0003x 02x+So 4 a) E'(,)An fosc (00)tGe) (300)+ Cy C4o0) (alculode cl00)- 33 Nhw 22 c(200) 0.2x (200)t SO O. OCO c(300) >.0.0003 (300)- (o. 3ou)+ o 3 (ueo) - Co.uco) 50 C(4007 +J0 0 000 Area A 2 T 22 t 9t18 9000 00 Lp0o 400 .c0s021450) c'(a) 400 3 0-000 3 % 2- 3 2 .o00lx - 0.1 Lp0O + JOx40O 6u00- 16000 t 20000 10 400 A (0400 ENact Area Calcatat ed Area tham Eaact Area appyoximation Under