Solve the problem.The productivity of a major manufacturer of microwave ovens is given approximately by the Cobb-Douglas production function
with the utilization of x units of labor and y units of capital. If the company is currently utilizing 4500 units of labor and 2000 units of capital, find the marginal productivity of labor to the nearest unit.
A. 2 units
B. 32 units
C. 217 units
D. 129 units
Answer: A
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Find the exact value of the expression.
A.
B.
C.
D. 2
Evaluate the exponential expression.(-1)5
A. -1 B. 5 C. -5 D. 1
Use the bar graph to answer the question.The following graph shows the average starting salary for graduates of five different schools with a degree in mathematics. What was the least average starting salary among the five schools?
A. $38,510 B. $52,236 C. $46,486 D. $35,842
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x - 3)2 - 25(y - 1)2 = 25
A. center at (3, 1)
transverse axis is parallel to y-axis
vertices at (3, -4) and (3, 6),
foci at (3, 1 - ) and (3, 1 +
),
asymptotes of y + 1 = - 5(x + 3) and y + 1 = 5(x + 3)
B. center at (3, 1)
transverse axis is parallel to x-axis
vertices at (-2, 1) and (8, 1)
foci at (3 - , 1) and (3 +
, 1)
asymptotes of y - 1 = - (x - 3) and y - 1 =
(x - 3)
C. center at (3, 1)
transverse axis is parallel to x-axis
vertices at (2, 1) and (4, 1)
foci at (3 - , 1) and (3 +
, 1)
asymptotes of y - 1 = - 5(x - 3) and y - 1 = 5(x - 3)
D. center at (1, 3)
transverse axis is parallel to x-axis
vertices at (-4, 3) and (6, 3)
foci at (1 - , 3) and (1 +
, 3)
asymptotes of y - 3 = - (x - 1) and y - 3 =
(x - 1)