Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
12th Edition
ISBN: 9780134767611
Author: Margaret L. Lial, Tom Hungerford, John P. Holcomb, Bernadette Mullins
Publisher: PEARSON
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Textbook Question
Chapter P, Problem 18PST
Answer the following. If there is no solution, indicate that there is no solution and provide a reason.
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Let a = (-4, 5, 4) and 6 = (1,0, -1).
Find the angle between the vector
1) The exact angle is cos
2) The approximation in radians is
The only problems I need help with ae the last 8 ones, Thanks
Price (S)
The graph below depicts a firm with market power. In the graph, MC represents the firm's marginal costs, ATC represents the average total costs, D represents demand, and MR represents marginal revenue.
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MC
ATC
D
0
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Quantity/Units
MR
a. At 60 units of output, how much would this profit-maximizing monopolist charge?
b. How many units would it produce to maximize total revenue rather than total profit?
c. What is the maximum quantity this firm can produce without incurring economic losses?
d. Calculate the firm's profit at the profit-maximizing output and price.
e. Why is this firm's marginal revenue curve below its demand curve? Explain.
Chapter P Solutions
Finite Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Ch. P - Find the most simplified answer for the given...Ch. P - Find the most simplified answer for the given...Ch. P - Find the most simplified answer for the given...Ch. P - Simplify the given expression, keeping in mind the...Ch. P - Simplify the given expression, keeping in mind the...Ch. P - Indicate whether each of the statements is true or...Ch. P - Prob. 7PSTCh. P - Prob. 8PSTCh. P - Prob. 9PSTCh. P - Prob. 10PST
Ch. P - Prob. 11PSTCh. P - Given the following rectangular coordinate system,...Ch. P - Given the following rectangular coordinate system,...Ch. P - Round the following values as indicated: a 4.27659...Ch. P - Prob. 15PSTCh. P - Prob. 16PSTCh. P - Prob. 17PSTCh. P - Answer the following. If there is no solution,...Ch. P - Prob. 19PSTCh. P - Which number is greater, 9 or 900?
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- 5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forwardLet a = (-1, -2, -3) and 6 = (-4, 0, 1). Find the component of b onto a.arrow_forwardForces of 9 pounds and 15 pounds act on each other with an angle of 72°. The magnitude of the resultant force The resultant force has an angle of pounds. * with the 9 pound force. The resultant force has an angle of with the 15 pound force. It is best to calculate each angle separately and check by seeing if they add to 72°.arrow_forward
- 1. Sketch the following sets and determine which are domains: (a) |z−2+i| ≤ 1; - (c) Imz> 1; (e) 0≤ arg z≤ л/4 (z ± 0); Ans. (b), (c) are domains. (b) |2z+3| > 4; (d) Im z = 1; - (f) | z − 4| ≥ |z.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward
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