05 O Find the rate of change of the function f(x) = (i) The number of units Q of a particular commodity that will be produced with K x+2 1-8x with respect to x when x=1. thousand dollars of capital expenditure is modeled by Q(K) = 500 Ka. Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where 2t + 3t + 149 K(t) = t+2 (a) What will be the capital expenditure 3 months from now? How many units will be produced at this time? (b) At what rate will production be changing with respect to time 5 months from now? Will production be increasing or decreasing at this time?
05 O Find the rate of change of the function f(x) = (i) The number of units Q of a particular commodity that will be produced with K x+2 1-8x with respect to x when x=1. thousand dollars of capital expenditure is modeled by Q(K) = 500 Ka. Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where 2t + 3t + 149 K(t) = t+2 (a) What will be the capital expenditure 3 months from now? How many units will be produced at this time? (b) At what rate will production be changing with respect to time 5 months from now? Will production be increasing or decreasing at this time?
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:05
O Find the rate of change of the function f(x) =
(i) The number of units Q of a particular commodity that will be produced with K
x+2
1-8x
with respect to x when x=1.
thousand dollars of capital expenditure is modeled by Q(K) = 500 Ka.
Suppose that capital expenditure varies with time in such a way that t months from now
there will be K(t) thousand dollars of capital expenditure, where
2t + 3t + 149
K(t) =
t+2
(a) What will be the capital expenditure 3 months from now? How many units will be produced
at this time?
(b) At what rate will production be changing with respect to time 5 months from now?
Will production be increasing or decreasing at this time?
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