(a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q² + 2q + 1000. If 2000 5-gallon water bottles are produced, find the (i) total cost (ii) average cost (iii) marginal cost (iv) marginal average cost Sßx² – 3 (b) Suppose that f(x) = Bx+ 2 X< 2 x > 2 if if Find the value of B so that f(x) is continuous everywhere along the real line. (c) The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p 0.01q? + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches. (d) Show that x? - 4 is a factor of x*-5x³ + 2x2 + 20x– 24.
(a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q² + 2q + 1000. If 2000 5-gallon water bottles are produced, find the (i) total cost (ii) average cost (iii) marginal cost (iv) marginal average cost Sßx² – 3 (b) Suppose that f(x) = Bx+ 2 X< 2 x > 2 if if Find the value of B so that f(x) is continuous everywhere along the real line. (c) The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p 0.01q? + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches. (d) Show that x? - 4 is a factor of x*-5x³ + 2x2 + 20x– 24.
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:(a) The cost of producing 5-gallon water bottles is given by
C(q) = 0.005q² + 2q + 1000.
If 2000 5-gallon water bottles are produced, find the
(i) total cost
(ii) average cost
(iii) marginal cost
(iv) marginal average cost
Sßx² – 3
(b) Suppose that f(x) = Bx+ 2
X< 2
x > 2
if
if
Find the value of B so that f(x) is continuous everywhere along the real line.
(c) The demand for watches is given by p
= 7000
2q dollars,
and the supply of watches is given by p
0.01q? + 2q + 1000 dollars,
where q is the number of watches demanded and supplied when the price per
watch is p dollars. Based on the information provided, calculate the equilibrium
quantity and the equilibrium price for watches.
(d) Show that x? - 4 is a factor of x*-5x³ + 2x2 + 20x– 24.
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