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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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If two products A and B have demand functions that depend on each other, ga = 100-5pA+
PAPB
and qg = 250 – 10 In(pg+ 1) +
will they be competitive, complementary, or neither. Show the relevant calculations.
%3D
PA+PB
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If two products A and B have demand functions that depend on each other, ga = 100-5pA+
PAPB
and qg = 250 – 10 In(pg+ 1) +
will they be competitive, complementary, or neither. Show the relevant calculations.
%3D
PA+PB
Attach File
Browse Local Files
Browse Content Collection
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- Suppose that a demand function is given by q = D(p) = 20(7 - ((p) with superscript (2)/square root of ((p) with superscript (3) + 1))) , where q is the demand for a product and p is the price per unit in dollars. Find the rate of change in the demand for the product per unit change in price. a.(dq/dp) = (-20(p) with superscript (4) + 80p/(((p) with superscript (3) + 1)) with superscript (1/2)) b.(dq/dp) = (10(p) with superscript (4) - 40p/ (((p) with superscript (3) + 1)) with superscript (3/2) ) c.(dq/dp) = (-10(p) with superscript (4) - 40p/ (((p) with superscript (3) + 1)) with superscript (1/2) ) d.(dq/dp) = (-10(p) with superscript (4) - 40p/ (((p) with superscript (3) + 1)) with superscript (3/2) )arrow_forwardA firm has the following total-cost and demand functions: C = 1/3^Q3 - 7Q2 + 111Q + 50 Q = 100 - P Write out the total-revenue function R in terms of Q Formulate the total-profit function π in terms of Q F ind the profit-maximizing level of output Q* What is maximum profit?arrow_forward7. Find the price per unit p that produces the maximum profit given C 2500-75x +0.04x? ar p%3D2000-0.6x? Use P xp-Carrow_forward
- 6 Assume an hypothetical consumer faced by the following utility function; U=X^2Y ( squared times y). After a bad harvest and thus bad economic conditions, the price of good X increases from Ksh.4.2 to Ksh. 4.8, while the price of good Y which was ksh. 4 increased to ksh.5. The income of the consumer was ksh. 30 before and after the good harvest. Calculate the CV and EV.arrow_forwardIf the demand and supply functions for a product are p=800-2q and p=100+0.5q, repectively, find the tax per unit t that will maximize the tax revenue T = t * q.arrow_forward
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