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 $1800/unit, capital costs $600/unit and the owner has $1,800,000 available for one time period, what amount of labor and capital would maximize production?
A. 473.7 units of labor and 1285.7 units of capital
B. 500.0 units of labor and 1500.0 units of capital
C. 1000.0 units of labor and 3000.0 units of capital
D. 1500.0 units of labor and 500.0 units of capital
Answer: B
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There were 8 inches of snow on the ground before the latest snowstorm. Once the storm started, the depth D, in inches, of snow on the ground satisfies the equation of change
.
Here t is measured in hours.A: Find a formula that gives the depth of snow t hours after the snow storm begins.B: Make a graph of depth versus time over the first 5 hours of the storm.C: How long will it take for the depth of the snow to reach 20 inches?
What will be an ideal response?
Write the ratio as a fraction in simplest form.4 : 7
A. 
B. 
C. 
D. 
Determine whether the pair of triangles is congruent by the ASA property. 
A. Yes B. No
Use Gaussian elimination to solve the linear system by finding an equivalent system in triangular form.
A. (0, 3, -3) B. no solution C. (0, 3, 0) D. (0, 0, 3)