When a certain product is sold at a price of 40 monetary units, 400 items are sold. Each time the price decreases by 0.1 monetary unit, sales increase by 5 units. Denote by x the number of times the price is decreased by 0.1 monetary units. a. Express p and q in terms of x. b. Express x in terms of p. c. Express q in terms of p. Originally, the revenue is 16 000 monetary units. d. Find for which values of p the company has revenue exceeding 16 000 monetary units.
When a certain product is sold at a price of 40 monetary units, 400 items are sold. Each time the price decreases by 0.1 monetary unit, sales increase by 5 units. Denote by x the number of times the price is decreased by 0.1 monetary units. a. Express p and q in terms of x. b. Express x in terms of p. c. Express q in terms of p. Originally, the revenue is 16 000 monetary units. d. Find for which values of p the company has revenue exceeding 16 000 monetary units.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:12. When a certain product is sold at a price of 40 monetary units, 400 items are sold. Each time the price
decreases by 0.1 monetary unit, sales increase by 5 units. Denote by x the number of times the price
is decreased by 0.1 monetary units.
a. Express p and q in terms of x.
b. Express x in terms of p.
c. Express q in terms of p.
Originally, the revenue is 16 000 monetary units.
d. Find for which values of p the company has revenue exceeding 16 000 monetary units.
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