For the feasible set shown below, find an objective function in the form ax + by, where a and b are positive constants, which will have its minimum value at the given point.
(3, 2)
What will be an ideal response?
Answers will vary; any values satisfying 
b < a < b are correct.
Possible answer: 5x + 6y
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Solve the system by the substitution method.
A. (-2, 1), (2, 1) B. (1, -2), (4, 13) C. (-1, -2), (1, -2) D. (-2, 1), (-1, -2), (1, -2), (2, 1)
Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 
A. f(x): D is all real numbers, R is all real numbers;
f-1(x): D is all real numbers, R is all real numbers
B. f(x): D = 
, R = 
;
f-1(x): D = 
, R = 
C. f(x): D = 
, R = 
;
f-1(x): D = 
, R = 
D. f(x): D = 
, R = 
;
f-1(x): D = 
, R = 
Solve the problem.Economists use what is called a Leffer curve to predict the government revenue for tax rates from 0% to 100%. Economists agree that the end points of the curve generate 0 revenue, but disagree on the tax rate that produces the maximum revenue. Suppose an economist produces this rational function 
where R is revenue in millions at a tax rate of x percent. Use a graphing calculator to graph the function. What tax rate produces the maximum revenue? What is the maximum revenue?
A. 35.8%; $276 million B. 41.2%; $264 million C. 34.0%; $271 million D. 36.6%; $268 million
Refer to the double-bar graph below which shows the number of male and female athletes at a university over a four-year period. Solve the problem.
Find the increase in the number of female athletes from 2002 to 2003.
A. 200 B. 100 C. 75 D. 50