Exercise 4.2.16 A certain manufacturer estimates that the total weekly cost in producing 9 units is C(q) = 2000+2q00001q1 0 5 q 3 6000, dollars. (a) What is the actual cost incurred in producing the 1001st and the 2001st unit? (b) What is the marginal cost when 4 = 1000 and 2000? Exercise 4.2.18 The demendmctionfor a certain product is given by p: 0.04q+800 0 5e 5 20,000 where p denotes the unit price in dollars and q denotes the quantity demanded. (a) Determine the revenue mction R (h) Determine the marginal revenue function R'. (c) Compute R' (5000) What can you deduce from your results? (d) {f the total cost in producing :3! units is given by CM} = 200g + 300, 000 determine the prot metion PM}. {e} Find the marginal protmction P'. 0') Compute 19"(5000) and P'(8000]. (3) Sketch the gmph of the prot function. What can you deduce mn your results