d. What is the rate of return for the portfolio? e. What is the dual value for the funds available constraint? f. What is the marginal rate of return on extra funds added to the portfolio?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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I need help with d, e, and f. I already did a, b, and c.

You do not need to use Solver or solve the problems. Just respond to the problem questions using the outputs provided in the problem. A picture in the attach image is a complete question.

1. Recall the Innis Investments problem (Chapter 2, Problem 39). Letting 

  S= units purchased in the stock fund

 M= units purchased in the money market fund

leads to the following formulation: 

Min     8S + 3M

s.t.

        50S + 100M≤ 1,200,000 funds available

        5S + 4M≥ 60,000 Annual income

                   M≥ 3,000 Units in money market

       S, M≥ 0

a. What is the optimal solution, and what is the minimum total risk?

Already did this part

b. Specify the objective coefficient ranges.

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c. How much annual income will be earned by the portfolio?

I also did this part too

d. What is the rate of return for the portfolio?

e. What is the dual value for the funds available constraint?

f. What is the marginal rate of return on extra funds added to the portfolio?

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