For the feasible set shown below, find an objective function in the form kx + y, where k is a positive constant, which will have its maximum value at the given point.
(7, 3)
What will be an ideal response?
Answers will vary; any value satisfying (2 ? k ? 3) is correct.
Possible answer: 1.5x + y
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Find the value or values of c that satisfy the equation 
= f'(c) in the conclusion of the Mean Value Theorem for the given function and interval.f(x) = x2 + 2x + 2, [-1, 2].
A. - 
, 
B. 
C. 0, 
D. -1, 2
Evaluate the indicated function for 
and 
.
?
?
A. 12
B. -10
C. 7
D. 14
E. 10
Find the x-value of all points where the function has relative extrema. Find the value(s) of any relative extrema.f(x) = x3 - 3x2 + 1
A. Relative maximum of 1 at 0. B. Relative maximum of 1 at 0; Relative minimum of -3 at 2. C. Relative maximum of 0 at 1; Relative minimum of -3 at -2. D. No relative extrema.
Which of the following is a solution to the inequality 
?
A. 
B. 
C. 
D. 
E. 
