A Certain Company That Produces a Product with Seasonal Demands $y=14.25+0.25 x+2.8 \sin \left(\frac{\pi x}{6}\right)$

question 34

Short Answer

A certain company that produces a product with seasonal demands projects that monthly sales for the next two years can be modeled by $y=14.25+0.25 x+2.8 \sin \left(\frac{\pi x}{6}\right)$ . In the model, $y$ is the sales in thousands of units and $x$ is the time in months, with $t=1$ representing January, 2006. According to this model, what will be the projected sales for July $2006 ?$

---

Definitions:

Small Firms

Small firms are businesses with a relatively small number of employees, limited revenue, and a localized operational base, often contributing significantly to innovation and employment.

Economies of Scale

Cost benefits that companies gain from their operation size, where the cost for each unit of production typically falls as the scale expands.

Constant Returns to Scale

A situation in production where increasing all inputs by a certain factor results in output increasing by the same factor.

Average Total Cost

The total cost divided by the quantity of output produced; it includes all variable and fixed costs.