Describe the relationship between the values of the independent and dependent variables.

The weekly demand for the Pulsar 25 color LED television is

$$p=600-0.05 x \quad(0 \leq x \leq 12,000)$$

where $p$ denotes the wholesale unit price in dollars and $x$ denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by

$$C(x)=0.000002 x^3-0.03 x^2+400 x+80,000$$

where $C(x)$ denotes the total cost incurred in producing $x$ sets.

Compute $C^{\prime}(2000), R^{\prime}(2000)$, and $P^{\prime}(2000)$ and interpret your results.

A certain company makes televisions, stereo units, and speakers. Its parts inventory includes chassis, picture tubes, speaker cones, power supplies, and electronics. The inventory, required components, and profit for each product appear in the following table. Determine how many of each product to make in order to maximize the profit.

$$\begin{matrix} \text{ } & \text{Product}\\ \hline \text{ } & \text{Television} & \text{Stereo unit} & \text{Speaker unit} & \text{Inventory}\\ \hline \text{Requirements}\\ \text{Chassis} & \text{1} & \text{1} & \text{0} & \text{450}\\ \text{Picture tube} & \text{1} & \text{0} & \text{0} & \text{250}\\ \text{Speaker cone} & \text{2} & \text{2} & \text{1} & \text{800}\\ \text{Power supply} & \text{1} & \text{1} & \text{0} & \text{450}\\ \text{Electronics} & \text{2} & \text{2} & \text{1} & \text{600}\\ \text{Unit pro t (\$)} & \text{80} & \text{50} & \text{40}\\ \end{matrix}$$

Write as a decimal.

$5 \frac{1}{4}$%

A person working on the transmission of a car accidentally drops a bolt into a tray of oil. The oil is 5.00 cm deep. The bolt appears to be 3.40 cm beneath the surface of the oil, when viewed from directly above . What is the index of refraction of the oil?

Determine the fraction, decimal, or percent equivalent. Write fraction in lowest term and convert to a mixed number if appropriate.

What is $36 \frac{1}{2} \%$ as a decimal?

Write each percent as a decimal and as a fraction. 87.2%

How does demand help societies determine WHAT, HOW, and FOR WHOM to produce?

Demand for a product means more than simply the desire to own it. Instead, demand includes desire and also the willingness and ability to buy the product. Firms often try to influence demand in a number of different ways. To see how, analyze a television, print, or online ad for a product. What devices has the seller used in the ad to stimulate demand for it? Pay attention to ways the seller may have made the product easier to buy.

Wendy and Peter each made up a new "Guess My Decimal" game just for you. Use their clues to determine the number. a. Wendy gives you this clue: "My decimal is seven-tenths greater than 46%. What is my decimal?" Show your work. b. Peter continues the game with the following clue: "My decimal is sixhundredths less than five-tenths." Use pictures and/or words to show your thinking.

For flow over a flat plate of length L, the local heat transfer coefficient $h_{x}$ is known to vary as $x^{-1 / 2}$, where x is the distance from the leading edge of the plate. What is the ratio of the average Nusselt number for the entire plate $\left(\overline{N u}_{L}\right)$ to the local Nusselt number at $x=L\left(N u_{L}\right)$?

Find $\lim _{h \rightarrow 0} \dfrac{\sqrt{a+h}-\sqrt{a}}{h}$, if it exists.

Explain why scientists use mass for measuring the amount of a substance instead of using weight.

What did the Monroe Doctrine state?