[Related to the Apply the Concept on page 587] For years, the Goodyear Tire & Rubber Company compensated its sales force by paying a salesperson a salary plus a bonus, based on the number of tires he or she sold. Eventually, Goodyear made two changes to this policy: (1) The basis for the bonus was changed from the quantity of tires sold to the revenue from the tires sold; and (2) salespeople were required to get approval from corporate headquarters in Akron, Ohio, before offering to sell tires to customers at reduced prices. Explain why these changes were likely to increase Goodyear’s profits.

Hincapie Inc. manufactures cycling equipment. Recently, the vice president of operations of the company has requested construction of a new plant to meet the increasing demand for the company's bikes. After a careful evaluation of the request, the board of directors has decided to raise funds for the new plant by issuing $2,000,000 of 11% term corporate bonds on March 1, 2020, due on March 1, 2035, with interest payable each March 1 and September 1. At the time of issuance, the market interest rate for similar financial instruments is 10%.

As the controller of the company, determine the selling price of the bonds.

Solve each problem. See the example in this section.

One campus of Houston Community College has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are $640 \mathrm{~ft}$ of fencing available to fence the other three sides. Let $x$ represent the length of each of the two parallel sides of fencing.

Determine a function $A$ that represents the area of the parking lot in terms of $x$.

Who We Are Interview relatives or family friends or neighbors, starting with the oldest ones. Take notes or tape-record their answers to questions about who your ancestors are or where people in your community came from or how your town was first settled. You could donate your oral histories to your school library so future students can share your research.

Which habitat restoration method is not part of a natural
restoration plan?
a. using controlled burns to bring back natural grasslands
b. using biological pest controls to eliminate invasive species
c. applying bioremediation techniques to clean up oil spills
d. using ladybugs to prey upon cotton aphids
e. introducing new prey species into a community to increase
the producer base

What does the phrase limited liability mean in a corporate context?

Measured by traditional intelligence tests

A: Analytical

B: Problem-Solving

C: Practical Thinking

D: None of the Above

Planner Corporation owns 60 percent of Schedule Company's voting shares. During 20X3, Planner produced 25,000 computer desks at a cost of $82 each and sold 10,000 of them to Schedule for$94 each. Schedule sold 7,000 of the desks to unaffiliated companies for $130 each prior to December 31, 20X3, and sold the remainder in early 20X4 for$140 each. Both companies use perpetual inventory systems.

Required

Give the worksheet consolidation entry or entries needed in preparing consolidated financial statements at December 31, 20X3, relating to the inter-corporate sale of inventory.

Planner Corporation owns 60 percent of Schedule Company's voting shares. During 20X3, Planner produced 25,000 computer desks at a cost of $82 each and sold 10,000 of them to Schedule for$94 each. Schedule sold 7,000 of the desks to unaffiliated companies for $130 each prior to December 31, 20X3, and sold the remainder in early 20X4 for$140 each. Both companies use perpetual inventory systems.

Required

Give the worksheet consolidation entry or entries needed in preparing consolidated financial statements at December 31, 20X4, relating to the inter-corporate sale of inventory.

What is the difference between molar species concentration and molar analytical concentration?

Dane decides to give up a job earning $200,000 per year as a corporate lawyer and converts the duplex that he owns into a UFO museum. (He had been renting out the duplex for$20,000 a year.) His explicit costs are $75,000 per year paid to his assistants and$10,000 per year for utilities. Fans flock to the museum to see his collection of extraterrestrial paraphernalia, which he could easily sell on eBay for $1,000,000. Over the course of the year, the museum brings in revenues of$200,000.

Is Dane earning an economic profit? Explain.

Use analytical methods to evaluate the following limits.

$$\lim _ { x \rightarrow \infty } \left( \log _ { 2 } x - \log _ { 3 } x \right)$$

Solve each problem. See the example in this section.

One campus of Houston Community College has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are $640 \mathrm{~ft}$ of fencing available to fence the other three sides. Let $x$ represent the length of each of the two parallel sides of fencing.

What dimensions will give a maximum area, and what will this area be?

The differential equation

$$\frac{d P}{d t}=P\left(10^{-1}-10^{-5} P\right)$$

models the population of a certain community. Assume that $P(0)=2000$ and that time $t$ is measured in months. (a) Find $P(t)$ and show that $\lim _{t \rightarrow \infty} P(t)$ exists. (b) Use a graphing utility to draw the graph of $P$ and estimate how long it will take for the population to reach $90 \%$ of its limiting value.