Exhibit 7-3
a Company Has the Following Historical Data on the Number

question 30

Essay

Exhibit 7-3
A company has the following historical data on the number of ad exposures and the corresponding number of units sold of one of its products:
$$\begin{array}{l}\text { Historical }\\\begin{array} { | c | c | } \hline \text { Ads } & \text { Units } \\\hline 0 & 3 \\\hline 20 & 18 \\\hline 40 & 34 \\\hline 60 & 46 \\\hline 80 & 56 \\\hline 100 & 65 \\\hline 120 & 72 \\\hline 140 & 78 \\\hline 160 & 82 \\\hline 180 & 85 \\\hline 200 & 90 \\\hline 220 & 90 \\\hline 240 & 93 \\\hline 260 & 94 \\\hline 280 & 95 \\\hline 300 & 101 \\\hline 320 & 98 \\\hline 340 & 100 \\\hline 360 & 98 \\\hline 380 & 101 \\\hline 400 & 105 \\\hline\end{array}\end{array}$$
-[Part 1] Refer to Exhibit 7-3.Formulate a nonlinear optimization model to find the parameters of a function of the form: f(x)= axb to model demand for its product as a function of ad exposures (x).

Interpret graphical representations of normal distributions to find percentages or probabilities.

Apply the empirical rule (68-95-99.7 rule) in real-world contexts.

Calculate the z-score for a given raw score in a normal distribution.

Understand the implications of changes in mean and standard deviation on the distribution.

---

Definitions:

Installation Costs

Expenses associated with setting up equipment or assets so that they are ready to be used in operations.

Transportation Costs

Expenses incurred by a company to move its goods or services from one location to another.

Equipment Cost

The total expense incurred from acquiring equipment including purchase price, transportation, installation, and any other costs to make the equipment operational.

Double-Declining-Balance Method

An accelerated depreciation technique that depreciates assets faster than traditional straight-line depreciation.