Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 20L0.5 K0.5 where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $400 and each unit of capital costs $3,200. Further suppose a total of $192,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint? Units of labor, L = Units of capital, K- B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production units

Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 20L0.5 K0.5 where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $400 and each unit of capital costs $3,200. Further suppose a total of $192,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint? Units of labor, L = Units of capital, K- B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production units

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1. a) A conventional photovoltaic cell delivers 4.0x10a W of electric energy when illuminated with 1.2x10+ W of light energy. What is the efficiency of the cell? b) Could a more efficient cell produce 0.12W of electric energy when illuminated with the same amount of light energy as in (a)? Explain.
A bodybuilder lifts a 150 kg barbell to a height of 3.0 m. What is the work done by the bodybuilder on the barbell?
We are now able to define a mathematical formula for gravitational potential energy. Near the Earth's surface, the gravitational potential energy of a system consisting of the earth and an object with a mass m is EP = mgh, where g is the acceleration of gravity (9.80 m/s2) and h is the height above ground level (positive upward). Note that the "ground level" could really be any height we choose, because what's really important is the change in potential energy. The difference between two heights always gives the same change in potential energy, regardless of where we set the "zero" of height. In other words, if we find the change in potential energy ΔEP = EP,f − EP,i, the final potential energy minus the initial, we have ΔEP = mghf − mghi = mgΔh. The change in gravitational potential energy is just mg times the change in height. Let's return to our ball-Earth example, only now let's examine a case where a ball is rising in the air. You toss a ball with a mass of 0.703 kg upward.…
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One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?
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a rope applies a hortizontal force of 180 N to pull a crate a distance of 2 m across a floor. A frictional force of 120 N opposes this motion. What is the total work done on the crate?
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