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A firm that uses two inputs to produce output has the production function 3x1/3y1/3, where x is the amount of input 1 and y is the amount of input 2. The price of output is 1 and the prices of the inputs are wx and wy. The firm is constrained by the government to use exactly 1000 units of input 1.
a. How much of input 2 does it use?
b. What is the most that it is willing to bribe an inspector to allow it to use another unit of input 1?
airplane B takes off 60 minutes after airplane A and heads in the same direction. if airplane A travels with a constant velocity of 735 mph and airplane B with a constant velocity of 1070 mph, in how many hours will airplane B to catch up to airpl..
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.75, and in January 2006, the price of regular unleaded gasoline was $2.57.
Suppose that a license plate must contain a sequence of two-letters followed by four-digits, or three-letters followed by three-digits.
A boat leaves a dock at 2pm and travels due west at a speed of 15 km/h. Another boast has been heading due south at 12km/h and reaches the same dock at 3. at what time were the two boats closest together?
A satellite dish with a parabolic cross section is 6 feet in diameter. the receiver is located on the center axis, 1 foot from the base of the dish. How deep is the dish at its center?
Find the length of the field, to the nearest tenth, that will give the entire field a maximum area if 414 m of fencing is available.
Each unit produced costs the company $8.00, and is sold for $10.00. How much will the company gain or lose in a month if they stock the expected number of units demanded, but sell 2000 units?
find the volume of the solid lying under the elliptic paraboloid x^2/4+y^2/9+z=1 and above the rectangle R = [-1,1]x[-2,2]
Plot the data, fit a trend line, and discuss the strength of prediction of the regression model.
Suppose that 560 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
If refinishing your basement at a cost of $40,105 would add $22,056 to the resale value of your home, what percent of your cost is recouped? (Round to the nearest percent.)
Suppose C(x) = x^3-6X^2+15X where x represents thousands of units. Is there a production level that minimizes average cost? If so what it it?
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