A Company Has $250,000 to Spend on Labor and Raw

question 8

Short Answer

A company has $250,000 to spend on labor and raw materials.Let L be the quantity of labor and R be the quantity of raw materials.The production output P of the company is cRL (here c is a positive constant).Suppose that each unit of labor costs $6000 and the unit price of raw materials is $2000.
Find the ratio of R to L that maximizes P.

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Definitions:

Embryo

An early stage of development in multicellular organisms, following fertilization and before becoming a fetus.

Multicellular

Organisms that consist of more than one cell, in contrast to unicellular organisms.

Hollow Ball

A term often used to describe the structure known as a blastula, an early stage of embryonic development in animals that is a spherical layer of cells enclosing a fluid-filled cavity.

Blastula

An early stage of embryonic development in animals, characterized by a sphere of cells surrounding a fluid-filled cavity.