Suppose that firms face the following production function: Q ==InL+InK. What is the degree of elasticity of substitution? O 2/3 O 1/3 O infinity
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Q: Suppose that firms face the following production function: Q=InL +Ink. What is the degree of…
A: Production function:-Differentiation of Q with respect to L and K, we will have:-
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- Consider the production function from earlier: Quantity of Haircuts 20 15 10 0+0 0 N 2 8 14 O Increasing marginal productivity O Constant marginal productivity O Decreasing marginal productivity 3 19 23 Labor (hours) 27 26 Total Product Curve From 1 labor hour up to 7 labor hours, what sort of marginal productivity does this production function have?Consider a factory that produces iPhones. This factory relies on both employees (labor) and machines (capital). Which of the following would decrease the demand forlabor?O a. Public taste shifts away from iPhones towards AndroidsO b. The price of capital falls and labor is easily substituted for capital.O c. The factory has trouble hiring competent workers (workers become less productive).O d. (b) and (a)O e. all of the aboveA chair manufacturer hires its assembly-line labor for $20 an hour and calculates that the rental cost of its machinery is $10 per hour. Suppose that a chair can be produced using 4 hours of labor or machinery in any combination. If the firm is currently using 2 hours of labor for every two hours of machine time, is it minimizing its cost of production? If so, why? If not, how can it improve the situation? The firm O A. is not currently minimizing its cost of production because the ratio of the marginal product of labor to the marginal product capital is equal to the ratio of the wage rate to the rental cost. O B. is currently minimizing its cost of production because its marginal rate of technical substitution less than the ratio of input prices. C. is not currently minimizing its cost of production because the marginal product of labor divided by the wage is less than the marginal product of capital divided by the rental cost. O D. is currently minimizing its cost of production…
- Suppose that the production function of a firm can be written as Q = 0.5K0.8L0.3. Which of the following is the equation for the average product of labor (APL)? O 0.3L-0.7 O K0.810.3 O 0.5K0.8L-0.7 O (0.7*0.5) K0.8L-0.7 O 0.5K0.810.3When a firm produces one unit, the variable cost is $7. When the firm produces two units, the variable cost is $10. When the firm produces three units, the variable cost is $12. What is the marginal cost associated with three units of production? Select one: O a. 3 O b. 7 O c. 2 O d. 0A firm's production function is Q = 100L.0 K-4. The firm's input prices are PL = $40 and PK = $30. The firm wishes to produce Q = 3,000 units of output and minimize the cost of production. How much labor (L) should the firm employ? O A. L=20.96. O B. L=31.45. O C. L=34.26. O D. L=38.45. O E. L=41.22. QUESTION 2 A firm estimates its production function as Q = -2.4 + 20*L -.5*L2 + 30*K -1.00*K2 + 15*F -.3*F2. Total cost is TC = $2*L + $2.5*K + $1.75*F. The firm wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K and F. How much F (Fuel) should the firm use? O A. F=7.90. O B. F=9.58. O C. F=10.75. O D. F=12.63. O E. F=14.88.
- Question 19 widget-manufacturing The production function for a firm is given by q = 9K0.5L0.5, where q is the number of widgets produced each hour, K is the number of specialized staplers (which is fixed at 4 in the short run), and L is the number of employees. What is the marginal product of labor at L = 9? O 18 O 3 none of the aboveQUESTION 1 Consider the following cost function (with input prices taken as constants): c(y) =y. What is MC(y)? Oa. y313 O b.y? C. O d. 2y QUESTION 2 Consider the following cost function (with input prices taken as constants): c(y) = y. What is AC(y)? Oa. 3y2 Ob.y Oc. 2y3 Od.y313Florida citrus growers say that the recent crackdown on illegal immigration is increasing the market wage rates necessary to get their oranges picked. Some are turning to $100,000 to $300,000 mechanical harvesters known as “trunk, shake, and catch” pickers, which vigorously shake oranges from the trees. If widely adopted, what will be the effect on the demand for human orange pickers? What does that imply about the relative strengths of the substitution and output effects?
- Argue using a graph that the elasticity of substitution for a linear production function, f(1, k) = al + bk, is infinite. Hint: dividing by something really small makes the quotient really big.What is the marginal physical productivity (MPP) of the inputs given the function Q = 18z7 + 2x1#2 + 2x3? Select one: O a. MPP = 36x1 + 2x2 MPP, = 2x1 + 4x2 ОБ. МP, — 36+ 2г2 +2 MPP, = 2x1 + 4x2 %3D %3D O. MPP, 36x1 + 2x1 %3D MPP, = 2x1 + 4x1 %3D O d. MPP MPP, = 2x2 + 4x2 36z1 + 2x1 %3D %3DYou pay for school tuition, and for each class you attend. Suppose that you stopped attending class after the first semester, but still pay school tuition. Which of the following is this an example of? Sunk cost Equimarginal principle O Positive net gain O Marginal product of labor QUESTION 4 Evaluate the following statement: "A firm producing at the point where marginal benefit is not equal to the derivative of total cost is adhering to the equimarginal principle" False True