Use the five-step strategy for solving word problems to find the number or numbers described. One number exceeds another by 24. The sum of the numbers is 58. What are the numbers?

For each of the following scenarios, say whether pooling or diversification is a more promising risk-mitigation strategy.

b. Families who are worried about losing their possessions if their houses burn down.

Calculate the gross profit made by the business in this month.

Is this essay a point-by-point or a subject-by-subject comparison? Why do you think Mukherjee chose the strategy she did?

The financial writer Andrew Tobias described an incident that occurred when he was a student at the Harvard Business School: Each student in the class was given large amounts of information about a particular firm and asked to determine a pricing strategy for the firm. Most of the students spent hours preparing their answers and came to class carrying many sheets of paper with their calculations. Tobias came up with the correct answer after just a few minutes and without having made any calculations. When his professor called on him in class for an answer, Tobias stated: “The case said the XYZ Company was in a very competitive industry and the case said that the company had all the business it could handle.” Given this information, what price do you think Tobias argued the company should charge? Briefly explain. (Tobias says the class greeted his answer with “thunderous applause.”)

Sun Airlines is a commercial airline that targets business and nonbusiness travelers. In recent months, the airline has been unprofitable. The company has break-even sales volume of 75% of capacity, which is significantly higher than the industry average of 65%. Sun’s CEO, Neil Armstrong, is concerned about the recent string of losses and is considering a strategic plan that could reduce the break-even sales volume by increasing ticket prices. He has asked for your help in evaluating this plan.

Write a brief memo to Neil Armstrong evaluating this strategy.

Look back at the notes you took as you read the essay and poem. For each work, which strategy was most useful in helping you understand the ideas and images presented?

For each function: i Find any stationary points and determine the nature of the points. ii State the intervals in which the function increases. iii State the intervals in which the function decreases. iv Confirm your answers graphically, and state whether the points found in part $\mathrm{i}$ are local or global extrema.

$y=-3 x^4+2 x^3+3 x^2-4$

Use the general factoring strategy to completely factor each polynomial. If the polynomial does not factor, then state that it is nonf actor able over the integers.

$$5 x y+20 y-15 x-60$$

The federal nutrition guidelines prepared by the Center for Nutrition Policy and Promotion of the U.S. Department of Agriculture stress the importance of eating substantial servings of fruits and vegetables to obtain a healthy diet. You have been asked to determine if the per capita consumption of fruits and vegetables at the county level is related to the percentage of adults with diabetes in the county. Data for this study are contained in the data file Food Nutrition Atlas, whose variable descriptions are found in the appendix.

On January $1$ the previous balance for Lynn's charge account was $\$ 569,80$. On the following days, purchases were posted:

January $13 \quad \$ 38.50 \quad$ jewelry January $21 \quad \$ 44.56 \quad$ clothing

On January $16$ a $\$ 50$ payment was posted. Using the average daily balance method, find the finance charge and unpaid balance on February $1$ if the bank charges interest of $1.5 \%$ per month.

Abe, Curtis, and Chet stand in line to buy movie tickets. In how many different ways can they stand in line? (Solve using the draw a diagram strategy.)

Use the general factoring strategy to completely factor each polynomial. If the polynomial does not factor, then state that it is nonf actor able over the integers.

$$8 x^2+3 x-4$$

Use any of the comparison tests to determine whether each series converges or diverges. $\sum_{k=1}^{\infty} \frac{1+3 \sqrt{k}}{k^{2}}$