57. Revenue Suppose the demand function for q units of a certain item is p = D(q) = 100 + In q 50 q > 1, where p is in dollars. (a) Find the marginal revenue. (b) Approximate the revenue from one more unit when 8 units are sold. (c) How might a manager use the information from part (b)? 58. Profit If the

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Chapter1: Functions And Models
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Questions 57

talSource Booksh x derivative calculato x
ageid/307
APPLICATIONS
Business and Economics
57. Revenue
Suppose the demand function for q units of a certain
item is
= (b)a =Dd
b u
q > 1,
where p is in dollars.
(a) Find the marginal revenue.
(b) Approximate the revenue from one more unit when 8 units
are sold.
(c) How might a manager use the information from part (b)?
58. Profit If the cost function in dollars for q units of the item in
Exercise 57 is C(g)
100g + 100, find the following.
unmn
(a) The marginal cost
(b) The profit function P(q)
(c) The approximate profit from one more unit when 8 units
are sold
(d) How might a manager use the information from part (c)?
59. Marginal Average Cost Suppose the chst in dollars to make x
oboe reeds is given by
(*)
Find the marginal average cost when the following numbers of
= 5 log2 x + 10.
reeds are sold.
(b) 20
Transcribed Image Text:talSource Booksh x derivative calculato x ageid/307 APPLICATIONS Business and Economics 57. Revenue Suppose the demand function for q units of a certain item is = (b)a =Dd b u q > 1, where p is in dollars. (a) Find the marginal revenue. (b) Approximate the revenue from one more unit when 8 units are sold. (c) How might a manager use the information from part (b)? 58. Profit If the cost function in dollars for q units of the item in Exercise 57 is C(g) 100g + 100, find the following. unmn (a) The marginal cost (b) The profit function P(q) (c) The approximate profit from one more unit when 8 units are sold (d) How might a manager use the information from part (c)? 59. Marginal Average Cost Suppose the chst in dollars to make x oboe reeds is given by (*) Find the marginal average cost when the following numbers of = 5 log2 x + 10. reeds are sold. (b) 20
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