Solve the problem.The production level P of a factory during one time period is modeled by P(x, y) = Kx1/2y1/2 where K is a positive integer, x is the number of units of labor scheduled and y is the number of units of capital invested. If labor costs $3900/unit, capital costs $800/unit and the owner has $1,700,000 available for one time period, what amount of labor and capital would maximize production?

A. 435.9 units of labor and 2125.0 units of capital
B. 212.5 units of labor and 944.4 units of capital
C. 217.9 units of labor and 1062.5 units of capital
D. 1062.5 units of labor and 217.9 units of capital


Answer: C

Mathematics

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A. 60,399,130 B. 57,087,805 C. 57,217,805 D. 57,075,675

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Solve the problem.The graph shows the annual revenue in millions of dollars of a cosmetics company.(a) Use the graph to complete the table. (b) What was the average annual change in revenue?(c) What was the average annual revenue over the five-year period?

A. (a) 
(b) -$600,000
(c) $240,000,000

B. (a) 
(b) -$1,800,000
(c) $48,000,000
C. (a) 
(b) $1,800,000
(c) $240,000,000

D. (a) 
(b) $600,000
(c) $43,200,000

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = - i ; C is the region defined by the polar coordinate inequalities  and 

A. 0
B. - 
C.
D.

Mathematics

Graph the parabola.x = (y + 3)2 - 5  

A.

B.
 
C.
 
D.

Mathematics