You arc a CFA (chartered financial analyst). Madonna has come to you because she needs help paying off her credit card bills. She owes the amounts on her credit cards shown in Table 43. Madonna is willing to allocate up to $5,000 per month to pay off these credit cards. All cards must be paid off within 36 months. Madonna’s goal is to minimize the total of all her payments. To solve this problem, you must understand how interest on a loan works. To illustrate, suppose Madonna pays$5,000 on Saks during month 1. Then her Saks balance at the beginning of month 2 is 20,000 - (5,000 - .005(20,000)) This follows because during month 1 Madonna incurs .005(20,000) in interest charges on her Saks card. Help Madonna solve her problems! Table 43: $$ \begin{matrix} \text{Card} & \text{Balance }($) & \text{Monthly Rate (\\%)}\\ \text{Saks Fifth Avenue} & \text{20,000} & \text{.5}\\ \text{Bloomingdale’s} & \text{50,000} & \text{1}\\ \text{Macys} & \text{40,000} & \text{1.5}\\ \end{matrix} $$

What can bystanders do to help prevent fights?

Broker Steve Johnson is currently trying to maximize his profit in the bond market. Four bonds are available for purchase and sale, with the bid and ask pricc of each bond as shown in Table 40. Steve can buy up to 1,000 units of each bond at the ask price or sell up to 1,000 units of each bond at the bid price. During each of the next three years, the person who sells a bond will pay the owner of the bond the cash payments shown in Table 41. Steve’s goal is to maximize his revenue from selling bonds less his payment for buying bonds, subject to the constraint that after each year’s payments are received, his current cash position (due only to cash payments from bonds and not purchases or sale of bonds) is nonnegative. Assume that cash payments are discounted, with a payment of $1 one year from now being equivalent to a payment of 90¢ now. Formulate an LP to maximize net profit from buying and selling bonds, subject to the arbitrage constraints previously described. Why do you think we limit the number of units of each bond that can be bought or sold? Table 40:

$$\begin{matrix} \text{Bond} & \text{Bid Price} & \text{Ask Price}\\ \text{1} & \text{980} & \text{990}\\ \text{2} & \text{970} & \text{985}\\ \text{3} & \text{960} & \text{972}\\ \text{4} & \text{940} & \text{954}\\ \end{matrix}$$

Table 41:

$$\begin{matrix} \text{Year} & \text{Bond 1} & \text{Bond 2} & \text{Bond 3} & \text{Bond 4}\\ \text{1} & \text{100} & \text{80} & \text{70} & \text{60}\\ \text{2} & \text{110} & \text{90} & \text{80} & \text{50}\\ \text{3} & \text{1,100} & \text{1,120} & \text{1,090} & \text{1,110}\\ \end{matrix}$$

Subtract. 72-34=

Write each rational number as a decimal. Then tell whether each decimal is a terminating or a repeating decimal. $\frac { 7 } { 5 } =$

2.18 What would be the barometric pressure reading, in mmHg at an elevation of 4 $\mathrm{km}$ in the U.S. standard atmosphere?

O.J. Juice Company sells bags of oranges and cartons of orange juice. O.J. grades oranges on a scale of 1 (poor) to 10 (excellent). O.J. now has on hand 100,000 lb of grade 9 oranges and 120,000 lb of grade 6 oranges. The average quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $1.50 and incurs a variable cost (consisting of labor costs, variable overhead costs, inventory costs, and so on) of$1.05. Each pound of oranges sold in bags yields a revenue of 50¢ and incurs a variable cost of 20¢. Formulate an LP to help O.J. maximize profit.

Evaluate each expression. $15+10\div n$ for n=5

What broader economic changes that were occurring in the United States (Chapters 16 and 17) affected cities? How did urban dwellers' responses to these changes vary from those of farmers and other rural Americans?

Use the coding matrix

$$A = \left[ \begin{array} { l l } { 3 } & { 2 } \\ { 4 } & { 3 } \end{array} \right]$$

and its inverse

$$A ^ { - 1 } = \left[ \begin{array} { r r } { 3 } & { - 2 } \\ { - 4 } & { 3 } \end{array} \right]$$

to encode and then decode the word RULE.

Write an algebraic expression for each verbal expression. A number decreased by 19

Suppose you just watched a basketball game between the Knights and the Tornadoes. Predict a low or a high variability for the following question: Which player had the best game?

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed width / weight data, find the best predicted weight of a seal if the overhead width measured from a photograph is 2 cm. Can the prediction be con-ect? If not, what is wrong?

$$\begin{array} {|c | c | c | c | c | c | c | } \hline \text{Overhead Width}&7.2 & { 7.4 } & { 9.8 } & { 9.4 } & { 8.8 } & { 8.4 } \\ \hline \text{Weight}&116 & { 154 } & { 245 } & { 202 } & { 200 } & { 191 } \\ \hline \end{array}$$

Solve each of the following for x.

$$\begin{array}{ll}{\text { a. } 3 x-12<24} & {\text { b. }-2 x+19>5 x-2} \\ {\text { c. } 10-6 x<2 x+90} & {\text { d. } x-3=\frac{18}{x}}\end{array}$$