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The temperature in a region of interest is determined to be given by the function T = x2 + xy + yz. At the point (2, 1, 4), answer the following questions.
1. What is the unit vector that points in the direction of maximum change of temperature?
2. What is the value of the derivative of the temperature in the x direction?
3. What is the value of the derivative of the temperature in the direction of the vector i - 2j + 2k?
P= 1,100 - 2Q TC= 20qi Q = q1 + q2 1. Construct the Coutrnot profit function. Differentiate this function and solve for the reaction functions of firm one and firm two. 2. Consider the following general reaction function: qi = Ri (qj)qi=270q j/2
A five-year-old defender has a current market value of $4,000 and expected O&M cost of $3,000 this year, increasing by $1,500 per year. Future market values are expected to decline by $1,000 per year.
What will happen to demand for labor? Will it increase or decrease? What are the new equilibrium wage rate and employment level?
At 47 units of labor, a firm finds that average product of labor equals 39.6 and marginal product of labor equals 32.9. We can conclude that the average product curve at 47 units of labor is: A. vertical. B. horizontal.
The first is a 15-year to maturity bond with a 6.60% coupon rate, paid annually. The price of this bond today is 100% of face value. The second bond is a 20-year to maturity bond issued 7% coupon rate, paid annually. The price of this bond is 101...
Jim Duggan made an investment of $10,000 in a savings account 10 years ago. This account paid interest of 5 1/2% for the first 4 years and 6 1/2% interest for the remaining 6 years. The interest charges were compounded quarterly. How much is this ..
The following table gives average hourly nominal wages in nonagricultural industries and the price level in the United States from 1995 to 2002.
Alternatively, he estimated that he could sell an extra 1,200 hamburgers per day by keeping the restaurant open for two more hours per day at a cost of $50 per hour. Which of these two alternative ways of increasing output should Mr. Wilson use
Alpha and Beta, two tiny islands off the east coast of Tricoli, produce pearls and pineapples. The production-possibilities schedules in the table below describe their potential output in tons per year. (a) What is the opportunity cost of pearls on..
Estimate the equation and report your regression results - what is the marginal return to schooling? To experience?
Use the midpoint formula to compute the price elasticity of supply for copper. (Related to Application 4 on page 529.)
The cost-versus-performance curves are exponential. Do you think this is representative of reality?
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