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a. A student earns $15 per hour for tutoring and $10 per hour as a teacher’s aide. Let
b. The student is bound by the following constraints:
• To have enough time for studies, the student can work no more than 20 hours per week.
• The tutoring center requires that each tutor spend at least three hours per week tutoring.
• The tutoring center requires that each tutor spend no more than eight hours per week tutoring.
Write a system of three inequalities that models these constraints.
c. Graph the system of inequalities in part (b). Use only the first quadrant and its boundary, because x and y are nonnegative.
d. Evaluate the objective function for total weekly earnings at each of the four vertices of the graphed region. The vertices should occur at (3, 0). (8, 0). (3, 17). and(8,12).|
e. Complete the missing portions of this statement: The student can earn the maximum amount per week by
tutoring for ________ hours per week and working as a
teacher’s aide for_________ hours per week. The maximum
amount that the student can earn each week is $_________.
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Chapter 7 Solutions
Precalculus (6th Edition)
- the correct answer is C could you please explainarrow_forwardWhich of the functions shown below is differentiable at z = 2? Select the correct answer below: о -7-6-5-4-3-2- −7 −6 −5 −4 −3-2 1 2 4 5 6 -7-6-5-4-3-2- -7-6-5-4-3 2 45arrow_forwardQuestion Given the graph of f(z) below, find the graph of the derivative of f(z). Select the correct answer below: ° ° 129 -7-6-5-4-3-2 -7-6-5-4-3-2-1123456 ° ° °arrow_forward
- Question Find the open interval(s) of f(x), graph given below, where f'(x) is negative. -3-2-1 1 2 4 5 6 Give your answer in interval notation. For example, (2, 4) U (6,∞). Provide your answer below:arrow_forwardthe correct answer is Ccould you please show me how to do it using the residue theoremarrow_forwardUse the information to find and compare Δy and dy. (Round your answers to four decimal places.) y = x4 + 7 x = −3 Δx = dx = 0.01 Δy = dy =arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
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