The demand for Product A is = Q(x, y) 2100-155√x+7(0.2y+23) units per month, where RM x is the unit price of Product A, and RM y is the unit price of Product B, a competing product. (a) Determine Q (378, 460) and Q, (378, 460). Then, interpret the results. (b) (c) It is estimated that t months from now, Product A will be sold for RM x per unit where x(t)=380+0.5t² -0.8t ln(3t+1), while Product B will be sold for RM y per unit where y(t)=485-3√2+ cos(0.5t-1). At what rate will the demand for Product A be changing with respect to time 6 months from now? Suppose that the unit price of Product A varies between RM 370 and RM 400, while the unit price of Product B varies between RM 455 and RM 495. Determine the average monthly demand for Product A. Suggest an implication of your result.
The demand for Product A is = Q(x, y) 2100-155√x+7(0.2y+23) units per month, where RM x is the unit price of Product A, and RM y is the unit price of Product B, a competing product. (a) Determine Q (378, 460) and Q, (378, 460). Then, interpret the results. (b) (c) It is estimated that t months from now, Product A will be sold for RM x per unit where x(t)=380+0.5t² -0.8t ln(3t+1), while Product B will be sold for RM y per unit where y(t)=485-3√2+ cos(0.5t-1). At what rate will the demand for Product A be changing with respect to time 6 months from now? Suppose that the unit price of Product A varies between RM 370 and RM 400, while the unit price of Product B varies between RM 455 and RM 495. Determine the average monthly demand for Product A. Suggest an implication of your result.
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:The demand for Product A is
=
Q(x, y) 2100-155√x+7(0.2y+23)
units
per month, where RM x is the unit price of Product A, and RM y is the unit price of Product
B, a competing product.
(a)
Determine Q (378, 460) and Q, (378, 460). Then, interpret the results.
(b)
(c)
It is estimated that t months from now, Product A will be sold for RM x per unit where
x(t)=380+0.5t² -0.8t ln(3t+1),
while Product B will be sold for RM y per unit where
y(t)=485-3√2+ cos(0.5t-1).
At what rate will the demand for Product A be changing with respect to time 6 months
from now?
Suppose that the unit price of Product A varies between RM 370 and RM 400, while the
unit price of Product B varies between RM 455 and RM 495. Determine the average
monthly demand for Product A. Suggest an implication of your result.
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