Use the constraints below to solve each linear programming problem.

$$\left\{\begin{array}{rcl} x & +2y & \leq 40\\ 2 x & +y & \leq 40\\ x&+y & \geq 10 \\ & x & \geq 0 \\ & y & \geq 0 \end{array}\right.$$

Maximize $z=2x+3y$.

All techniques, conflicting rankings Nicholson Roofing Materials, Inc., is considering two mutually exclusive projects, each with an initial investment of $\$ 150,000$. The company's board of directors has set a maximum 4-year payback requirement and has set its cost of capital at $9 \%$. The cash inflows associated with the two projects are shown in the following table.

b. Calculate the NPV of each project at 0%.

Object Oriented Programming uses classes to:

a. Teach the user how to use the program

b. A way to encapsulate all of the methods, properties, and behaviors within a module.

c. Allow programmer to build linear code blocks.

d. All of the above

Find the indicated maximum and minimum values by the linear programming method of this section.The constraints are shown below the objective function.

$$\begin{array}{l}{\text { Maximum } P :} \\ {P=5 x+2 y} \\ {x \geq 0, y \geq 0} \\ {2 x+y \leq 6}\end{array}$$

Redo Programming Exercise 22 as follows. Write a program that reads a string and outputs the number of times each lowercase vowel appears in it. Your program must contain a function with one of its parameters as a char variable, and if the character is a vowel, it increments that vowel’s count.

A project has been selected for implementation. The net cash flow (NCF) profile associated with the project is shown below. $MARR$ is 10 percent/year.

$$\begin{array}{|c|c|c|c|c|c|c|c|} \hline \text { EOY } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text { NCF } & -\$ 70,000 & \$ 30,000 & \$ 30,000 & \$ 30,000 & \$ 30,000 & \$ 30,000 & \$ 30,000+\$ 2,000 \\ \hline \end{array}$$

a. What is the annual worth of this investment?

b. What is the decision rule for judging the attractiveness of investments based on annual worth?

c. Is the project economically justified?

Find the indicated maximum and minimum values by the linear programming method of this section.The constraints are shown below the objective function.

$$\begin{array}{l}{\text { Maximum } P :} \\ {P=2 x+7 y} \\ {x \geq 1, y \geq 0} \\ {x+4 y \leq 8}\end{array}$$

Analyze the following code. Is count < 100 always True, always False, or sometimes True or sometimes False at Point A, Point B, and Point C?

count = 0
while count < 100:
    # Point A
    print("Programming is fun!")
    count += 1
    # Point B

# Point C

How does a balance arise in the Purchase Discounts Lost account? Why does management pay careful attention to the balance (if any) in this account?

We say that in network programming a socket should be at least bound to a local socket address. The first constructor of the DatagramSocket class in previous Table has no parameters. Can you explain how it is bound to the local socket address when used at the client site?

Masters Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $385,000 is estimated to result in$145,000 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of $45,000. The press also requires an initial investment in spare parts inventory of$20,000, along with an additional $3,100 in inventory for each succeeding year of the project. Should the company buy and install the machine press if the shop's tax rate is 22 percent and its discount rate is 9 percent?

The text covers several advantages of adopting the geodatabase. Can you think of an example in which you would prefer the geodatabase to the coverage for a GIS project?

Create an interesting scenario leading to the following linear programming problem: Minimize c=10x+10y subject to

$$\begin{array}{l}{20 x+40 y \geq 1,000} \\ {30 x+20 y \geq 1,200} \\ {x \geq 0, y \geq 0.}\end{array}$$

Redo Programming Exercise 8 as follows. Write a progam that reads a string and outputs the number of times each lowercase vowel appears in it. Your program must contain a function with one of its parameters as a char variable, and if the character is a vowel, it increments that vowel's count.