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Production is modeled by the Cobb Douglas production function
where x represents the number of units of labor, and y the number of units of capital. If each unit of labor costs $500 and each unit of capital $200, and the amount allocated to labor and capital is $300,000, use Lagrange multipliers to determine the number of units of labor and capital which maximizes the level of production.
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Express logarithm into exponential form and solve logarithmic equation and solve the log 4 2 = 1/2 in exponential form.
The ratio of the length of the sides of the cube is 1:3 , calculate volume of the bigger one if the volume of the smaller is 400 cm^3
Using the data in the Excel file Home Market Value
one brand of its tires is normally distributed with a mean of 50,100 miles and a standard deviation of 4000 miles. If the manufacturer is willing to replace around 10% of the tires as unsatisfactory performers, what should be the approximate numbe..
Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value. Round your answers to four decimal places.
in how many different ways can the top eleven new indie bands be ranked on a top eleven list? the top hit song for
For the following solve. Applied Calculus. Must show all work
To produce x units of a particular commodity, a monopolist has a total cost of C(x) = 2x^2 + 3x + 5. The unit price at which the x units will be sold is p(x) = 5-2x.
A 150.0pF capacitor is initially charged with 750.0pC. The ends of a 10.0Ω resistor are then connected to the ends of the capacitor. What is the initial power dissipated by the resistor?
Find out where the Jacobian of the transformation equals 0, and find the chambers in the u-v plane where the Jacobian is positive and the chambers where it is negative.
Establish the relevance of data-driven decision making, preferably with examples from your own work experience. However, you may also quote examples from other organisations. The objective is to underline the importance of such style of decision m..
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