A Company Has Two Manufacturing Plants Which Manufacture the Same

question 104

Short Answer

A company has two manufacturing plants which manufacture the same item. Suppose the cost function is given by where q₁ and q₂ are the quantities (measured in thousands) produced in each plant. The total demand q₁ + q₂ is related to the price, p, by How much should each plant produce in order to maximize the company's profit?

---

Definitions:

Gametophyte

The haploid stage in the life cycle of plants and algae that produces gametes through mitosis for sexual reproduction.

Megasporangium

In a heterosporous plant, structure in which megaspores are produced. Megasporangia of seed plants are ovules that develop into seeds following fertilization. Compare with microsporangium.

Heterosporous

Referring to plants that produce two types of spores, microspores which develop into male gametophytes and megaspores which develop into female gametophytes.

Vascular Tissues

Specialized structures in plants that conduct water, nutrients, and sugars throughout the organism.