A firm with the production function f (x1, x2, x3, x4)  minx1, x2, x3, x4 faces input prices w1  $1, w2  $5,w3  $5, w4  $3 for factors 1, 2, 3, and 4.The firm must use at least 10 units of factor 2.The lowest cost at which it can produce 100 units of output is

A) $800.
B) $440.
C) $1,400.
D) $770.
E) $400.

Input Prices

The cost of resources used in the production of goods or services, such as raw materials, labor, and overhead.

Production Function

A mathematical representation showing the relationship between input factors of production and the output of goods or services.

Lowest Cost

The minimal expense incurred in the production or procurement of goods or services, under efficient conditions.