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Suppose the Cobb-Douglas production function for a company is given by f(x,y)= 100x^(1/4) y^(3/4)
Where x is the company's capital investment (in dollars ) and y is the size of the labor force (in work-hours). What is the marginal productivity of labor and marginal productivity of capital when the amounts expended on labor and capital are 625 work-hour and $10,000 respectively.
The dimensions of a closed rectangular box are measured as 89 cm, 53 cm, and 35 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
equilateral triangle with 4 cm side is decreasing infinitely by 1/2. Determined total the area of the triangles?
An orchard contains 62 peach trees with each tree yielding an average of 50 peaches. For each 1 additional trees planted, the average yield per tree decreases by 9 peaches. How many trees should be planted to maximize the total yield of the orchar..
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
Calculate the sampling error to within the average length of time was estimated.
james buys a share at $53.41 on Monday, which gaines $1.35 on tuesday, loese $2.10 on Wednesday, and gains $4.65 on Thursday. What is James man daily profit or loss?
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
A sample of 500 travelers who used the internet to book a trip were asked to which travel website they used. There responses are given in the table below. Use this information to construct a circle graph illustrating the percent of people who gave..
Simulate 1000 interactions of the two strategies over the six-year period. Create a histogram of the final fund values. Based on your simulation results, which of the two strategies would you recommend? Why?
Use rules of differentiation.
What is the cost of renting 2 tuxes. What is the cost of renting 2 tuxes, what is the cost of renting 4000 tuxes, what is the marginal and variable cost.
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