Based on the following information, prepare a monthly and yearly budget for Cathy Kudyrko.

Average Income

Net monthly pay is $1,400

Average Monthly Expenses

$$\begin{array}{lr} \text { Rent } & \$ 410 \\ \text { Insurance } & 60 \\ \text { Utilities } & 50 \\ \text { Gasoline } & 60 \\ \text { Clothing } & 60 \\ \text { Entertainment } & 100 \\ \text { Savings } & 120 \\ \text { Telephone (landline) } & 15 \\ \text { Car payment } & 150 \\ \text { Car repairs } & 20 \\ \text { Groceries } & 150 \\ \text { Personal care } & 50 \\ \text { Miscellaneous } & 155 \end{array}$$

What are two reasons for the existence of partially automated production lines?

Name some of the industrial applications of automated production lines.

Feeling Better Medical Inc., a manufacturer of disposable medical supplies, prepared the following factory overhead cost budget for the Assembly Department for October 2014. The company expected to operate the department at 100% of normal capacity of 30,000 hours.

$$\begin{array}{lrr} \text{Variable costs:}\\ \hspace{10pt}\text{Indirect factory wages}&\$\hspace{5pt}\text{247,500}\\ \hspace{10pt}\text{Power and light}&\text{189,000}\\ \hspace{10pt}\text{Indirect materials}&\underline{\hspace{15pt}\text{52,500}}\\ \hspace{20pt}\text{Total variable cost}&&\$\hspace{10pt}\text{489,000}\\ \text{Fixed costs:}\\ \hspace{10pt}\text{Supervisory salaries}&\$\hspace{5pt}\text{126,000}\\ \hspace{10pt}\text{Depreciation of plant and equipment}&\text{70,000}\\ \hspace{10pt}\text{Insurance and property taxes}&\underline{\hspace{15pt}\text{44,000}}\\ \hspace{20pt}\text{Total fixed cost}&&\underline{\hspace{15pt}\text{240,000}}\\ \text{Total factory overhead cost}&&\underline{\underline{\$\hspace{10pt}\text{729,000}}}\\ \end{array}$$

During October, the department operated at 28,500 hours, and the factory overhead costs incurred were indirect factory wages, $234,000 power and light,$178,500 indirect materials, $50,600 supervisory salaries,$126,000 depreciation of plant and equipment, $70,000 and insurance and property taxes,$44,000.

Prepare a factory overhead cost variance report for October. To be useful for cost control, the budgeted amounts should be based on 28,500 hours.

Use the branch-and-bound method to find the optimal solution to the following IP:

$$\begin{aligned} \max z &=7 x_{1}+3 x_{2} \\ \text { s.t. } & 2 x_{1}+x_{2} \leq 9 \\ & 3 x_{1}+2 x_{2} \leq 13 \\ & x_{1}, x_{2} \geq 0 ; x_{1}, x_{2} \text { integer } \end{aligned}$$

Once you enter into an agreement, you are obligated to perform as agreed. Why do people who enter into agreements later refuse to do what they agreed to do?

Prepare a simple budget for yourself. If your budget does not balance, make adjustments until it does. How much will you set aside for savings? Assume that you can set aside this same amount each month. Locate a savings planner tool and calculate your total savings after 12 months, at 6 percent interest, starting with $0 savings.

Using Figure 8.6 as a model, write a promissory note from you to John Doe. The note is payable in one year in the amount of $\$50$ with interest of $11$ percent and monthly payments of $\$4.63$. Are you the maker or the payee of the note? What is the total amount you will pay on the note?

The Global Tea and Organic Juice companies have merged. The following information has been collected for the “Consolidation Project.

1. Compute the expected time for each activity.

2. Compute the variance for each activity.

3. Compute the expected project duration.

4. What is the probability of completing the project by day 112? Within 116 days?

5. What is the probability of completing “Negotiate with Unions” by day 90?

In a typical product-mix problem in linear programming, the objective is to?

Based on the following information, prepare a monthly and yearly budget for Brandy and Kenneth Harbour. Use Figure 8.2 as a model.

Average Income

Net paychecks $=\$ 1,800$ monthly

Interest on savings $=\$ 50$ monthly

Average Monthly Expenses

$$\begin{array}{lr}\text { Rent payment } & \$ 400 \\ \text { Utilities } & 120 \\ \text { Gasoline } & 100 \\ \text { Insurance } & 150 \\ \text { Groceries } & 200 \\ \text { Clothing } & 100 \\ \text { Car payment } & 210 \\ \text { Car maintenance } & 50 \\ \text { Cell phone } & 40 \\ \text { Entertainment and recreation } & 200\end{array}$$

Cash Surplus

Savings To be determined

$$\begin{array}{lr}\text { Investment fund } & 60 \\ \text { Miscellaneous } & 120\end{array}$$

Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.

Compute the probability of receiving three calls in a 5-minute interval of time.

The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance follows.

$$\begin{matrix} \text{Payment (\$)} & \text{Probability}\\ \text{0} & \text{0.85}\\ \text{500} & \text{0.04}\\ \text{1000} & \text{0.04}\\ \text{3000} & \text{0.03}\\ \text{5000} & \text{0.02}\\ \text{8000} & \text{0.01}\\ \text{10000} & \text{0.01}\\ \end{matrix}$$

Use the expected collision payment to determine the collision insurance premium that would enable the company to break even.

Given that z is a standard normal random variable, find z for each situation.

The area to the left of z is .2119.