Assignment
Please answer the following questions giving all details:
1. An investment company has 32 million dollars to invest this year. Currently, the company is considering different ways to invest the money. Their objective is to have maximum return on the investment. What are the different investment alternatives that may be used to invest the 32 million dollars and what are the important factors in each alternative that should be considered in making the decision?
2. Find the slope, the y-intercept, and the x-intercept of the following linear equations. Determine what type of line it represents: upwards, downwards, horizontal or vertical.
(a) 10x - 9y = 90
(b) 5x + 6y = 120
(c) y = -22
(d) 2x = 7
3. Solve the following system of equations using the graphical method. Also find the solution using the method of elimination or substitution method.
4x + 2y = 32
2x + 3y = 24
4. Determine the feasible region for the following system of inequalities and show it on a graph.
2x + 2y > 6
3x + 2y ≤ 12
Notes:
- Please include all details and steps performed to find your answers. Just writing the final answers will not get you full credit.
- Some of the questions above require drawing graphs. Here is a list of options for you to include a graph in your answer.
Draw the graph using MS Paint or CorelDraw or some other software. Copy the graph in a MS Word file and post the file on the course website in appropriate category.
OR
Draw the graph by hand on a paper, scan it or take a photo and post it with your answer.
OR
Describe the graph in words in your answer.
A team submission will be graded based on the answers submitted by the team. If answer to one or more questions is missing because a member of the team did not do his/her part, then the team will not receive any credit for those questions.
- Please submit the homework answers in Microsoft Word or PDF format. Scans or photos of the answers are acceptable but they must be clear and legible. Other formats are not acceptable.