A coffee distributor is blending a new coffee that will cost $6.90 per pound. It will consist of a blend of$6.00 per pound coffee and $9.00 per pound coffee. What amounts of each type of coffee should be mixed to achieve the desired blend?

Gloria plans to mix cranberry juice cocktail costing $1.89 per liter with sparkling water costing$2.09 per liter to make 16 L of punch for an office party. If the punch costs $1.94 per liter, how many liters of each will she use?

Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand is $1,200 and the variable cost per cup of coffee served is$0.22.

Required:

1. Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity. Round off the average cost per cup of coffee to the nearest tenth of a cent.

$$\begin{array}{l} \hspace{160pt}\textbf{Cups of Coffee Served in a Week } \\ \end{array}$$

$$\begin{array}{lccc} & \textbf{2,000} & \textbf{2,100} & \textbf{2,200} \\ \\ \text{Fixed cost} &?&?&? \\ \text{Variable cost} &?&?&? \\ \text{Total cost} &?&?&?\\ \text{Average cost per cup of coffee served} &?&?&?\\ \end{array}$$

2. Does the average cost per cup of coffee served increase, decrease, or remain the same as the number of cups of coffee served in a week increases? Explain.

"The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and newspaper. Audience estimates, costs, and maximum media usage limitations are as shown:

$$\begin{array}{lcrr} \text { Constraint } & \text { Television } & \text { Radio } & \text { Newspaper } \\ \text { Audience per advertisement } & 100,000 & 18,000 & 40,000 \\ \text { Cost per advertisement } & \$ 2,000 & \$ 300 & \$ 600 \\ \text { Maximum media usage } & 10 & 20 & 10 \end{array}$$

To ensure a balanced use of advertising media, radio advertisements must not exceed 50 percent of the total number of advertisements authorized. In addition, television should account for at least 10 percent of the total number of advertisements authorized.

By how much would audience contact increase if an extra $100 were allocated to the promotional budget?"

The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and newspaper. Audience estimates, costs, and maximum media usage limitations are as shown:

$$\begin{array}{lcrr} \text { Constraint } & \text { Television } & \text { Radio } & \text { Newspaper } \\ \text { Audience per advertisement } & 100,000 & 18,000 & 40,000 \\ \text { Cost per advertisement } & \$ 2,000 & \$ 300 & \$ 600 \\ \text { Maximum media usage } & 10 & 20 & 10 \end{array}$$

To ensure a balanced use of advertising media, radio advertisements must not exceed 50 percent of the total number of advertisements authorized. In addition, television should account for at least 10 percent of the total number of advertisements authorized.

If the promotional budget is limited to $18,200, how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media, and what is the total audience reached?

The Dietze family purchased a home and obtained a 30-year loan at 10.5%; they borrowed $125,000. After they made payments for 10 years, the interest rate fell to 8.1%, so they considered refinancing the balance of the loan for the remaining 20 years. (a) Find the balance remaining. (b) Find the monthly payments if the balance is refinanced at 8.1%. (c) How much will total payments over the 20 years be reduced if the loan is refinanced?

Give an example of a quadratic function and an example of a function that is not quadratic. Explain why each function is or is not quadratic.

Use your book or dictionary to define the following terms. Vestigial structure _____.

Find the dot products.

$$\left[\begin{array}{cc}{-2} & {5}\end{array}\right] \cdot\left[\begin{array}{l}{4} \\ {1}\end{array}\right]$$

Consumers can choose between three long-distance telephone services: GTT, NCJ, and Dash. Aggressive marketing by all three companies results in a continual shift of customers among the three services. Each year, GIT loses 5% of its customers to NCJ and 20% to Dash, NCJ loses 15% of its customers to GTT and 10% to Dash, and Dash loses 5% of its customers to GTT and 10% to NCJ. Assuaging that these percentages remain valid over a long period of time, what is each company's expected market share in the long run?

Michelle and Gerry's mix decaffeinated Sumatra coffee costing $14.95 per pound with regular Sumatra coffee costing$13.95 per pound. Last month they made 8 lb of the blend for $118.10. How much of each type of coffee did they use?

A coffee shop wants to make a maximum of $120 \mathrm{lb}$ of a coffee mixture that costs less than $\$ 10 / \mathrm{b}$. The shop will mix coffee that is sold at $\$ 8 / \mathrm{lb}$ with coffee sold at $\$ 11.50 / \mathrm{lb}$. Write and graph a system of inequalities that shows the possible mixtures of the two coffee types.

Write each fraction or decimal as a percent. $\frac{24}{25}$

Sylvia wants to mix 100 pounds of Breakfast Blend coffee that will sell for $25 per pound. She is using two types of coffee to create the mixture. Kona coffee sells for$51 per pound and Columbian coffee sells for $11 per pound. How many pounds of each type of coffee should Sylvia use?