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Set up and solve Exercises 35–40 by the simplex method.
Life Sciences
35. Calorie Expenditure Lauren Simko, a fitness trainer, has an exercise regimen that includes running, biking, and walking. She has no more than 15 hours per week to devote to exercise, including at most 3 hours running. She wants to walk at least twice as many hours as she bikes. According to a website, a 130-pound person like Lauren will burn on average 531 calories per hour running, 472 calories per hour biking, and 354 calories per hour walking. How many hours per week should Lauren spend on each exercise to maximize the number of calories she burns? What is the maximum number of calories she will burn? (Hint: Write the constraint involving walking and biking in the form ≤ 0.) Source: NutriStrategy.com.
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Chapter 4 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
- Forces 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= Let (6,2,-5) and = (5,4, -6). Compute the following: บี.บี. บี. นี = 2 −4(u. v) = (-4). v= ū. (-40) (ū. v) v =arrow_forwardLet ā-6+4j- 1k and b = 7i8j+3k. Find a. b.arrow_forward
- Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), ☎ = (0, 3, 1), c = (2,4,1).arrow_forwardFind the area of a triangle PQR, where P = (-5,6, -1), Q = (1, -3, -2), and R = (-5, -1,4)arrow_forward17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) du 4√3- -4² Need Help? Read It SUBMIT ANSWER 18. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.051. Evaluate the integral. (Use C for the constant of integration.) - 49 dx x² +3 Need Help? Read It Watch It SUBMIT ANSWER 19. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.057. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 25+ x2 dxarrow_forward
- Let (5,3,-7) and = (2, -3, -6). = Compute the following: u× u = -4(u xv) ux (-4v) (+v) × v=arrow_forwardLet a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =arrow_forwardUse the graph of the function y = f (x) to find the value, if possible. f(x) 8 7 6 Q5 y 3 2 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7 -8+ Olim f(z) x-1+ O Limit does not exist.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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