BUSN 603 Problem Set 8

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1. If Electrocomp decides that at least 20 air conditioners should be produced but no more than
80 fans should be produced, the optimal production mix of air conditioners and fans is
__________. (The first number is for air conditioners and the second for fans.)
2. In the optimal solution for the above question (Question 1), the slack for the four constrains —
Total hours of wiring, Total hours of drilling, Number of air conditioners, Number of fans are
__________, respectively. (​Hint​: A negative number shows that the constraint is binding
downward, i.e. it sets a lower rather than an upper limit. ​You may take the negative sign out
when interpreting the results​.)
3. If Electrocomp decides that at least 30 air conditioners should be produced but no more than
50 fans should be produced, the optimal production of air conditioners is __ and the optimal
production of fans is _. (Please only enter an integer and include no units.)
4. In the optimal solution for the above question (Question 3), the slack for the four constrains —
Total hours of wiring, Total hours of drilling, Number of air conditioners, Number of fans are
__________, respectively. (​Hint​: A negative number shows that the constraint is binding
downward, i.e. it sets a lower rather than an upper limit. ​You may take the negative sign out
when interpreting the results​.)
5. The optimal production of benches is __ and the optimal production of tables is __. (Please
only enter an integer and include no units. ​Hint​: Because of the resource constraints, you may
not be able to produce 4 tables even if the solution is 3.8; you may have to just produce 3
tables.)
6. The optimal ​dollar ​amount invested in Petrochemical stock is _________ dollars, and the
optimal ​dollar ​amount invested in Utility stock is ___________ dollars. (Please only enter an
integer and include no units. ​Hint​: The total risk on each stock is the risk index times the

investment in dollars. When you use Excel QM, you need to end the​total risk​ in the right hand
side of the constraint ​not simply the risk index​.)
7. The average risk ​index​ (not in dollar amount) for the optimal investment is _ , and the
estimated best/maximum return for this investment is __ . (Please only enter an integer and
include no units.)
8. The optimal ​money​ invested in the five stocks and bonds — Municipal bonds, Electronics,
Aerospace, Drugs, and Nursing homes are __________ dollars, respectively.
9. The optimal number of medical patients per year is __ , and optimal number of surgical
patients per year is ___ . The maximum annual profit is ____ dollars. (Please round to the
closest​ integer and include no units.)
10. Among the 90 additional beds, _______ beds should be used for medical patients and
_______ beds used for surgical patients.
11. At the optimal, there are _ empty beds, __ lab tests of unused capacity, _ x-rays of unused
capacity, and __ unused operation rooms available. (Please round to the ​closest​ integer and
include no units.)