with All Solved Solutions (2025-2026)
Update.
Production Function - Answer Mathematical function that defines the maximum amount of
output that can be produced with a given set of inputs. Q= F(K,L)
- Q is the level of output
- K is the quantity of capital input
- L is the quantity of labor input
Short-run - Answer period of time where some factors of production(inputs) are FIXED, and
constrain a manager's decisions.
Long-run - Answer period of time over which all factors of prodcution(inputs) are variable, and
can be adjusted by manager.
Total Product(TP) - Answer Max level of output that can be produced with a given amount of
inputs
Average Product(AP) - Answer A measure of the output produced per unit of input
- average product of labor: Q/L
-average product of capital: Q/K
Marginal product(MP) - Answer the change in total product(output) attributable to the last
unit of an input.
- Marginal product of labor: ∆𝑄/∆𝐿
-Marginal product of capital: ∆𝑄/∆𝐾
What is the role of the manager in the production process - Answer -Produce output on the
production function
- aligning incentives to induce
maximum worker effort.
-Use the right mix of inputs to maximize profits.
, Value Marginal product - Answer value of the output produced by the last unit of an input.
law of diminishing returns - Answer the marginal product of an additional unit of output will at
some point be lower than the marginal product of the previous unit.
Profit-Maximization input usage - Answer to maximize profits, use input levels at which
marginal benefit equals marginal cost
- when the cost of each additional unit of labor is w, the manager should continue to employ
labor up to the point where VMP L = w in the range of diminishing marginal product
Linear production function - Answer assumes a perfect linear relationship between all inputs
and total output.
𝑄=𝐹(𝐾,𝐿)=𝑎𝐾+𝑏𝐿, where 𝑎 and 𝑏 are constants.
Leontief production function - Answer assumes inputs are used in fixed proportions.
𝑄=𝐹(𝐾,𝐿)=min{𝑎𝐾,𝑏𝐿}, where 𝑎 and 𝑏 are constants.
Cobb-Douglas production function - Answer A production function that assumes some degree
of substitutability among inputs.
𝑄=𝐹(𝐾,𝐿)=𝐾^𝑎 𝐿^𝑏, where 𝑎 and 𝑏 are constants.
Linear measures of productivity - Answer Marginal products: 〖𝑀𝑃〗_𝐾=𝑎 and 〖𝑀𝑃〗_𝐿=𝑏
Average Prodcuts: 〖𝐴𝑃〗_𝐾=(𝑎𝐾+𝑏𝐿)/𝐾 and 〖𝐴𝑃〗_𝐿=(𝑎𝐾+𝑏𝐿)/𝐿
Cobb- Douglas measures of productivtiy - Answer Marginal prodcuts: 〖𝑀𝑃〗_𝐾=𝑎𝐾^(𝑎−1)
𝐿^𝑏 and 〖𝑀𝑃〗_𝐿=𝑏𝐾^𝑎 𝐿^(𝑏−1)