A resistor consists of a solid cylinder of radius $r$ and length $L$. The resistor has resistance $R$ and is carrying current $i$. Use the Poynting vector to calculate the power radiated out of the surface of the resistor.

What evidence is there in the picture that the men are making a long trip? A. They are heading toward the train station. B. It is a long road with no traffic. C. They are carrying suitcases. D. Nothing in the photo suggests that they are making a long trip.

The manager of Able Car Inspection reviewed his monthly operating costs for the past year. His costs ranged from $4,000 for 1,000 inspections to$3,600 for 600 inspections. Requirements

1. Calculate the variable cost per inspection.
2. Calculate the total fixed costs.
3. Write the equation and calculate the operating costs for 800 inspections.
4. Draw a graph illustrating your total cost under this plan. Label the axes, and show your costs at 600, 800, and 1,000 inspections.

A rectangular box having a top and square base is to be constructed at a cost of $\$2$. If the material for the bottom costs $\$0.30$ per square foot, the material for the top costs $\$0.20$ per square foot, and the material for the sides costs $\$0.15$ per square foot, find the dimensions and volume of the box of maximum volume that can be constructed.

On January 1, 2017, the $2,000,000 par value bonds of Spitz Company with a carrying value of$2,000,000 are converted to 1,000,000 shares of $1.00 par value common stock. Record the entry for the conversion of the bonds.

A company needs to produce $288,000$ items per year. Production costs are $\$ 1500$ to prepare for a production run and $\$ 30$ for each item produced. Inventory costs are $\$ 1.50$ per year for each item stored. Find the number of items that should be produced in each run so that the total costs of production and storage are minimum.

The manager of Gilbert Company used the production cost report to compare budgeted costs to actual costs and then based bonuses on the results. This is an example of using the reports to a. prepare financial statements. b. control costs. c. evaluate performance. d. identify profitable products.

A company that sells radios has yearly fixed costs of $\$ 600,000$. It costs the company $\$ 45$ to produce each radio. Each radio will sell for $\$ 65$. The company's costs and revenue are modeled by the following functions, where $x$ represents the number of radios produced and sold:

This function models the company's costs.

$C(x)=600,000+45 x$.

This function models the compary's revenue.

$R(x)=65 x$.

Find and interpret $(R-C)(20,000),(R-C)(30,000)$, and $(R-C)(40,000)$

Maintenance costs. Maintenance costs for an apartment house generally increase as the building gets older. From past records, the rate of increase in maintenance costs (in dollars per year) for a particular apartment complex is given approximately by

$$M'(x)=f(x)=90x^{2}+5,000$$

where $x$ is the age of the apartment complex in years and $M(x)$ is the total (accumulated) cost of maintenance for $x$ years. Write a definite integral that will give the total maintenance costs from the end of the second year to the end of the seventh year, and evaluate the integral.

A firm uses simple linear regression to forecast the costs for its main product line. If fixed costs are equal to $235,000 and variable costs are$10 per unit, how many units does it need to sell at $15 per unit to make a$300,000 profit? a. 21,400 b. 47,000 c. 60,000 d. 107,000

The Greene Corporation is an automotive supplier that uses automatic turning machines to manufacture precision parts from steel bars. Greene’s inventory of raw steel averages $300,000. John Oates, president of Greene, and Helen Gorman, Greene’s controller, are concerned about the costs of carrying inventory. The steel supplier is willing to supply steel in smaller lots at no additional charge. Gorman identifies the following effects of adopting a JIT inventory program to virtually eliminate steel inventory:

• Without scheduling any overtime, lost sales due to stockouts would increase by 35,000 units per year. However, by incurring overtime premiums of$20,000 per year, the increase in lost sales could be reduced to 20,000 units per year. This would be the maximum amount of overtime that would be feasible for Greene.

• Two warehouses currently used for steel bar storage would no longer be needed. Greene rents one warehouse from another company under a cancelable leasing arrangement at an annual cost of $45,000. The other warehouse is owned by Greene and contains 12,000 square feet. Three-fourths of the space in the owned warehouse could be rented for$1.25 per square foot per year. Insurance and property tax costs totaling $7,000 per year would be eliminated.

Greene’s required rate of return on investment is 20% per year. Greene’s budgeted income statement for the year ending December 31, 2014, (in thousands) is:

$$\begin{array}{lrr} \text{Revenues (900,000 units)}&& \$ 5,400\\ \text{Cost of goods sold}&\\ \quad\text{Variable costs}& \$2,025\\ \quad\text{Fixed costs}& \underline{~~~~~~725}\\ \quad\quad\text{Total costs of goods sold}&& \underline{~~2,750}\\ \text{Gross margin}&& 2,650\\ \text{Marketing and distribution costs}&\\ \quad\text{Variable costs}& \$~~~~450\\ \quad\text{Fixed costs}& \underline{~~~~~~750}\\ \quad\quad\text{Total marketing and distribution costs}&& \underline{~~1,200}\\ \text{Operating income}&& \underline{\underline{\$ 1,450}}\\ \end{array}$$

1. Calculate the estimated dollar savings (loss) for the Greene Corporation that would result in 2014 from the adoption of JIT purchasing.

2. Identify and explain other factors that Greene should consider before deciding whether to adopt JIT purchasing.

It is believed that the ratio of cyclic photophosphorylation to noncyclic photophosphorylation changes in response to metabolic demands. In each of the following situations, would you expect the ratio to increase, decrease, or remain unchanged?
(a) Chloroplasts carrying out both the Calvin cycle and the reduction of nitrite $\left(\mathrm{NO}_2^{-}\right)$to ammonia (This process does not require ATP.)
(b) Chloroplasts carrying out not only the Calvin cycle but also extensive active transport
(c) Chloroplasts using both the Calvin cycle and the $\mathrm{C}_4$ pathway

The following statements are related to the force of a magnetic field on a current - carrying wire. Indicate whether each statement is true (T) or false (F). The force on the wire is directed perpendicular to both the wire and the magnetic field.

A total of 4 buses carrying 148 students from the same school arrive at a football stadium. The buses carry, respectively, 40, 33, 25, and 50 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on her bus. (a) Which of E[X] or E[Y] do you think is larger? Why? (b) Compute E[X] and E[Y].