Q week 7

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homework_4.pdf

Homework 4

1. The Samsung is considering taking part in one or more of tree different development

projects – A, B, and C – that are about to be launched. Each project requires a significant

investment over the next few year, and then would be sold upon completion. The

projected cash flows (in millions of dollars) associated with each project are shown in the

table below.

Year Project A Project B Project C

1

2

3

4

5

6

-4.5

-6.8

-6.3

21

0

0

-6

-8

-3

-2

25

0

-14

-8

-8

-7

-4

38

Samsung has $10 million available now and expects to receive $6 million from other

projects by the end of each year (1 through 6) that would be available for the ongoing

investments the following year in projects A, B, and C. By acting now, the company may

participate in each project either fully, fractionally (with other development partners), or

not at all. If Samsung participates at less than 100 percent, then all the cash flows

associated with that project are reduced proportionally. Company policy requires ending

each year with a cash balance of at least $2 million.

a. Solve this model using Excel Solver (keep in mind that you must set up a linear

programming model in Excel Solver). In other words, what would be the (1)

maximum ending balance, and (2) optimal level of participation rate for each project?

Explain using at least 250 words.

b. How would the results in part a change if Samsung has $11 million available now and

expects to receive $7 million from other projects by the end of each year? In other

words, what would be the maximum ending balance and optimal level of participation

rate for each project in a new situation?

(Now, you must run a new linear programming model by replacing $10 million

(current starting balance) by $11 million (new starting balance) and $6 million

(current value of other project) by $7 million (new value of other project). Explain

using at least 250 words, focusing on why the participation rates in part b is different

from those in part a.

2. Discuss biblical principles that could be related to concepts or theory you learned from

this chapter, using at least 100 words. (This is an open-ended question, and there is no

definite answer)