An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 7yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 49; at (2, 5)
B. Maximum: -28; at (4, 0)
C. Maximum: 42; at (6, 0)
D. Maximum: 70; at (10, 0)
Answer: D
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Use a calculator to approximate the number. (Round your answer to three decimal places.)
?
A. 2.828 B. 256.000 C. 8.000 D. 16.000 E. 68.000
Solve the problem.The positions of two particles on the s-axis are s1 = sin t and 
with s1 and s2 in meters and t in seconds.At what time(s) in the interval 0 ? t ? 2? do the particles meet?
A. t = 
? sec and t = 
? sec
B. t = 
? sec and t = 
? sec
C. t = 
? sec and t = 
? sec
D. t = ? sec and t = 2? sec
A farmer wishes to work out the average milk yield in his herd that consists of an equal number of Ayrshire, Friesian, Galloway, and Jersey cows.Suppose the farmer selects the first 3 cows of each type that he milks to be in his sample. What type of sampling is being used?
A. capture-recapture B. stratified sampling C. quota sampling D. convenience sampling E. simple random sampling
Use factoring by grouping to solve the equation.x3 + 2x2 - 16x - 32 = 0
A. 2, -4, 4 B. -2, -4, 4 C. -4, -2, 2 D. -2, 2, 4