Assume: PQ = $2.00 PL = $2.00 PK = $4.00
K MPK MP/PK MRP/PK L MPL MP/PL MRP/PL
1 28 7 14 1 15 5 10
2 24 6 12 2 12 4 8
3 20 5 10 3 9 3 6
4 12 4 8 4 6 2 4
5 8 2 4 5 3 1 2
6 4 1 2 6 1 0.5 1
7 2 0.5 1 7 0.5 0.25 0.5
8 1 0.25 0.5 8 0.25 0.13 0.26
9 0.5 0.125 0.25 9 0.125 0.06 0.12
The least cost combination of capital and labor to produce 87 units of output.
| K=7 and L=7 |
| K=2 and L=5 |
| K=1 and L=1 |
| K=3 and L=1 |
K = 7 and L = 7
(Least cost combination is that where MP/PK = MP/PL. This occurs when L = K = 7 as MP/PK = MP/PL = 0.5)
PK $4.00 Po-$2.00 PL-$2.00 Assume: K MPK MP/PK MRP/PK MRP/PL L MPL MP/PL 1 28 7 14 15 1 5 10 246 2 12 2 12 8 4 3 20 5 10 3 3 6. 4 12 8 4 6 2 2 4 5 1 2 6 4 1 2 6 1 0.5 1 0.5 0.23 7 2 0.5 7 8 0.25 0.13 0.25 0.5 8 0.26 Q.125 0.06 0.12 9 0.5 0.125 0.25 This firm will earn profit $499...
Pk $4.00 PL = $2.00 Assume:P $2.00 10 1 15 5 1 28 2 24 6 12 3 20 5 10 4 12 48 7 1 8 2 12 4 4 6 10.5 0.5 0.250.5 7 2 0.5 8 1 0.25 0.5 9 0.5 0.125 0.25 The least cost combination of capital and labor to produce 87 units of output. 0.25 0.13 0.26 8 0.12 90.125 0.06
Pk $4.00 PL = $2.00 Assume:P $2.00 10 1 15 5 1 28...
Explain the rule for determining the optimal resource use for a single resource or input and determine the optimal amount of labor, given that each output sells at $2 and labor is $26 per unit. Labor Output MP MRP MRC 0 0 *** *** *** 1 22 2 38 3 52 4 62 5 70 2. Explain the rule for determining the optimal use of a multiple resources when minimizing costs, then determine the least cost manner of producing 138...
Explain the rule for determining the optimal resource use for a single resource or input and determine the optimal amount of labor, given that each output sells at $2 and labor is $26 per unit. Labor Output MP MRP MRC 0 0 *** *** *** 1 22 2 38 3 52 4 62 5 70 2. Explain the rule for determining the optimal use of a multiple resources when minimizing costs, then determine the least cost manner of producing 138...
1. If the price of output sells for $0.80 each, determine the profit maximizing quantities of labor and capital that should be used, assuming the price of labor is $4 and the price of capital is $8. If labor and capital are the only inputs, compute the profit of this firm. LaborMPL MRPLMRPL/PLCapitalMPK MRPKMRPK/PK124 140216 230312 32848 41054 55
QUESTION 5 The marginal product for labor is given (MP) = 3 – 0.02*L; price of the product is $100 and wage = 200. Based on information above, the marginal product of labor at the optimal level of employment is $3 $2 $1.5 $1 2 points QUESTION 6 If the labor elasticity of output is 0.5 and the capital elasticity of output is 0.9, then the production function exhibits constant returns to scale. economies of scale. diseconomies of scale. diminishing...
The second picture is the
"previous question" that the question is referring too.
Manufacturers.inc has the following production function that represents the available tech- nology to mix capital (K) and labor (L) (their only two inputs): 9(L, K) 3D L'3К?З = in the short run, the firm has a fixed level of capital K = 8 1) Fill the following table. MP. АPL 0 1 3 4 7 9 10 2) Graph total production, M P, and AP according to...
Quantity of Labor MP of Labor MRP of Labor Quantity of Capital MP of Capital MRP of Capital 1 15 $45 1 8 $24 2 12 36 2 6 18 3 9 27 3 5 15 4 6 18 4 4 12 5 3 9 5 3 9 6 1 3 6 2 6 Refer to the given data. If the prices of labor and capital are $9 and $15, respectively, and labor and capital are the only inputs, the...
The production function of the Auto parts firm is given by Q-5L-L, where Q is the units of output and L is the number of labor hours. Each output sells for 100 dollars per unit. The human resources manager estimates that the marginal cost of hiring an extra worker is 50 dollars. How many labor hours should this firm hire? Hint: MPL=5-2 L 1) 2) A frim's production function is given by Q(L)-6L, where Q measures output and L is...
Hi Can you please help me to do this. I have tried doing MPL/PL=PMK/PK but I could not get the same answers . I don't know whether it is my math or if I have the wrong formula to LCCI (Least Cost Combination) Thank you . 1. A firm produces according to the following production function: Q = K0.25L0.5 . Suppose that the price of K is $4 per unit, and the price of L is $6 per unit. When...