Find the minimum value of the objective function and where it occurs, subject to the constraints:
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Objective function:
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z = 4x + y
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Constraints:
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x ? 0
y ? 0
3x + y ? 15
4x + 3y ? 30
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A. Minimum at (3, 0): 12
B. Minimum at (0, 6): 28
C. Minimum at (3, 6): 18
D. Minimum at (0, 0): 0
E. Minimum at (6, 3): 27
Answer: D
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Use a calculator to approximate the number. (Round your answer to three decimal places.)
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A. 2.828 B. 256.000 C. 8.000 D. 16.000 E. 68.000
Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.y = x1/3(x2 - 63)
A. no extrema
inflection point: (0, 0)
B. local minimum: 
local maximum: (0, 0)
inflection points: 
C. local minimum: 
local maximum: 
inflection point: (0, 0)
D. local minimum: (0, 0)
no inflection points
Use the division method to find the GCF of the pair of numbers. If the GCF is 1, write "relatively prime."140 and 60
A. 10 B. 4 C. 20 D. 5
Find all the first order partial derivatives for the following function.f(x, y, z) = z(ex)y
A. 
= zyexy; 
= zxexy; 
= exy
B. 
= zxexy; 
= zyexy; 
= exy
C. 
= zyexy; 
= zxexy; 
= zexy
D. 
= zexy; 
= zexy; 
= exy