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 $3400/unit, capital costs $700/unit and the owner has $1,700,000 available for one time period, what amount of labor and capital would maximize production?
A. 242.9 units of labor and 1062.5 units of capital
B. 1214.3 units of labor and 250.0 units of capital
C. 250.0 units of labor and 1214.3 units of capital
D. 500.0 units of labor and 2428.6 units of capital
Answer: C
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Match the surface show below to the graph of its level curves.
A. 
B. 
C. 
D. 
Provide an appropriate response. Discuss why a set of data can have no mode, one mode, or more than one mode.
What will be an ideal response?
Divide. If the division is not possible, write "undefined."
A. 33 R4 B. 33 R1 C. 34 D. 33
Solve the problem.Allied Radio is a company which makes clock radios. The following table gives the profit, y, in dollars that this company made during the three stated years, x.
This set of data can be modeled by f(x) = ax2 + bx + c, where x represents the year. Find a linear system for which the solution represents the values of a, b, and c. Use technology to solve this system. Then, using the quadratic equation, predict the profit that Allied Radio made in the year 1993. Round your answer to the nearest hundred dollars.
A. $394,400 B. $393,900 C. $294,600 D. $394,200