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A company has a production function with three inputs x, y and z given by f(x, y, z)= 50x^2/5y^1/5z^1/5. The total budget is $24000 and the company can buy x, y and z at$80,$12 and $10 per unit respectively. What combination of inputs will maximize production?
suppose traffic engineers have coordinated the timing of two traffic lights to encourage a run of green lights. in
Water is 80°C in copper pipe 10 cm long and 2.6 cm in diameter is surrounded by air at temperature of 10°C. How much heat is lost by convection in one hour
hotel digital has 30 floors. step into the lift at hotel digital and youll have to think it will only stop at floors
What is the impact of the new point on the standard deviation
Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
The demand is currently 600 t-shirts, but euphoria over the championship is subsiding so the demand is dropping by 200 t-shirts per day. How is the profit changing with respect to time?
Determine the least squares regression line
Provide a plot of temperature versus distance east. Based on its appearance, is it a good linear model for predicting temperature as a function of distance?
Compute the mean and median
In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?
Using the definition of the derivative, find the slope of the tangent line to the curve at the point (5, f(-5)). Write the equation of the tangent line to the curve at the point (5, f(-5)).
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
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