47. A company has plants that are located (in an appropriate co-ordinate system) at the points A(0, 1), B(0, -), and C(3, 0)(Fig. 3.6.29). The company plans to construct a distributioncenter at the point P(x, 0). What value of x would minimizethe sum of the distances from P to A, B, and C?вFIGURE 3.6.29 Thelocations in Problem 47

Answered: 47. A company has plants that are…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Help with 14
10. Find F. dr where F(x, y) = (4xy³, 6x²y²) and C is a sequence of straight lines from (0,0) to (1,3) to (4,7) to (9,5) to (2,1).
11. Find fF.dr, where P is the line segment from (0, 1) to (1,0) and F(x,y) = (1²).
4.4. Suppose that u = (1,3) and v = (3, 1). (a) Sketch the points tu + v, ļu + v, and u + tv. (b) Draw the line of all linear combinations cu + dv with c+ d = 1. (c) Sketch u+v and u+v. Draw the line of all linear combinations си + сv. (d) Shade all combinations cu + dv for 0 0 and d > 0.
7.7. Most vital arcs. We define a most vital arc of a network as an arc whose deletion causes the largest decrease in the maximum flow value. Either prove the following claims or show through counterexample that they are false. (a) A most vital arc is an arc with the maximum value of (b) A most vital arc is an arc with the maximum value of xy. (c) A most vital arc is an arc with the maximum value of xy among arcs belonging to some minimum cut. (d) An arc that does not belong to some minimum cut cannot be a most vital arc. (e) A network might contain several most vital arcs.
5. a. Find the line of best fit through these points using the least squares method and the pseudo inverse. Plot the result (The best fit line and the five points should be on the graph). Ax b. Given the following five points in the (x, y) plane: (-4,-7), (-2,-3), (0, 2), (1, 3), (5,9) = Show how the slope and y-intercept of your line are related to the solution of Pb, where A can be factored to QR and P = QQ¹.
4. The monthly demand function for x units of a product sold by a monopoly is p= 7000 – x² dollars per unit, and its average cost is C= 3660+3x dollars. If production is limited to 131 units, find the number of units that maximizes profit. A) В) C) D) E) 45 units 131 units 61 units 85 units 34 units
31. Four outdoor equi pment stores (A, B. C, D) have to decide where to locate on a 10 km street (or on a (0, 10] interval), given that consumers are uniformly distributed along this street. The equilibrium locations are: a. A locates at 1, B at 4, C at 6 and Dat 9. b. A and B are adjacent at 2.5, C and D are adjacent at 7.5. c. A locates at 0, B at 3.3, C at 6.6 and D at 10. d. all four stores locate at 5. 32. Assume two political parties compete during an electoral campaign. Voters' preferences are uniformly dstributed along a unit interval political spectrum, with extreme "left" at 0 and extreme "right" at 1. Where would these two parties choose to locate their political platforms? a. There will be one extreme left party and one extreme right party. b. Both parties would position themselves at the centre. c. There will be one left-wing party located at 0.25 and one right -wing party located at 0.75.
4

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS