Suppose that you go into business raising Thoroughbreds and quarter horses. Having studied linear programming, you decide to maximize the feasible profit you can make. Let $x$ be the number of Thoroughbreds, and let $y$ be the number of quarter horses you raise each year.
a. Write inequalities expressing each of the following requirements:
i. Your supplier can get you at most 20 Thoroughbreds and at most 15 quarter horses to raise each year.
ii. You must raise at least 12 horses, total, each year to make the business worthwhile.
iii. A Thoroughbred eats 2 tons of food per year, but a quarter horse eats 6 tons per year. You can handle no more than 96 tons of food per year.
iv. A Thoroughbred requires 1000 hours of training per year. and a quarter horse only 250 hours per year. You have enough personnel to do at most 10,000 hours of training per year.
b. Draw a graph of the feasible region.
c. One of the inequalities has no effect on the feasible region. Which one? Tell what this means in the real world.
d. What is the minimum feasible number of quarter horses?
e. What is the maximum feasible number of Thoroughbreds?
f. Is it feasible to raise no Thoroughbreds? Explain.
g. You can make a profit of $\$ 500$ for each Thoroughbred and $\$ 200$ for each quarter horse. Shade the portion of the feasible region in which the profit would be at least $\$ 5000$ per year.
h. What is the maximum feasible profit you could make per year, and how would you operate in order to attain that profit?
i. How much more profit do you make per year by operating at the optimum point of part $\mathrm{h}$ rather than by operating at the worst feasible point?

Multiple Choice The United States has a land area of about $3,536,278 \mathrm{mi}^2$. Illinois has a land area of about $57,918 \mathrm{mi}^2$. What is the probability that a location in the United States chosen at random is in Illinois? (A) $0.016 \%$ (B) $0.61 \%$ (C) $1.6 \%$ (D) $61 \%$

If $\frac{1} {33}$ of all deer in the United States are in Mississippi and $\frac{2} {7}$ of the deer are in Montana, what total fractional part of the deer population is in those two states?

a. How did President Eisenhower approach the nation's problems? b. How did automation change the nature of work and affect unions? c. In what ways did popular culture such as rock 'n' roll reflect changes in American life?

In 2008, the population of 10- to 14-year-olds in the United States was 20,484,163. Write this number in expanded form.

Cassie and Cliff decided that their company would specialize in designing Web logs, or "blogs." Since production of any blog requires about the same amount of programming time, each customer could be charged the same price. Cassie and Cliff also estimated that the number of customers in a year would be related to the price. by n(x) = 600 - 2x, where x is the price charged per blog. Production of each blog will require about $200 in programmer labor. To get started in business, they bought a computer for$2,000. (a.) Write rules for the following functions, simplifying where possible. i. Annual income from blog designs I(x) if the price is x dollars per blog. ii. Annual production costs for blog designs C(x) if the price is x dollars per blog. iii. Annual profit from the business P(x) if the price is x dollars per biog. iv. Profit per customer $P_{c}(x)$ if the price is x dollars per blog. (b.) What would be reasonable domains for the functions in Part a? (c.) For what blog prices would the following functions be maximized? i. Income I(x). ii. Profit P(x). iii. Profit per customer $P_{\mathrm{c}}(x)$ (d.) What price would you recommend that Cassie and Cliff charge per blog? Explain your reasoning.

For the following term or person, write a sentence explaining its significance for the United States in the 1780s: James Madison

For the following term or person, write a sentence explaining its connection to the new United States: Lewis and Clark

Which of the following is true about earnings management?

A. It works within the constraints of GAAP.

B. It works outside the constraints of GAAP.

C. It tries to improve stakeholder’s views of the company’s financial position.

D. Both B and C

E. Both A and C

In the lab-classes project that we have discussed in previous chapters, the LabClass class includes a students field to maintain a collection of Student objects. Read through the LabClass class in order to reinforce some of the concepts we have discussed in this chapter.

What factors do you think determined whether or not the United States intervened militarily in other nations?

Is there sufficient evidence to infer that there are differences in marital status between people born in the United States and those born outside the United States (BORN: 1 = U.S., 2 = outside U.S.; MARITAL: Marital status: 1. Married, 2. Widowed, 3. Divorced, 4. Separated, 5. Never married)?

Reread the passage titled "Working in the United States" in the following questions.

a. What facts are stated about working conditions in the United States during this time period?

b. Based on your answer to the previous question, what can you infer about the attitude of employers toward their workers during this time?

Which state in the United States has the greatest tangential speed as Earth rotates around its axis?