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# Managerial Decision Modeling Module 3_P 3-12_P3-22_P3-18_Linear Programming_Worksheet Answer

Managerial Decision Modeling Module 3_P 3-12_P3-22_P3-18_Linear Programming_Worksheet Answer

Managerial Decision Modeling Module 3_P 3-12_P3-22_P3-18_Linear Programming_Worksheet Answer

Managerial Decision Modeling Module 3_P 3-12_P3-22_P3-18_Linear Programming_Worksheet Answer

Managerial Decision Modeling Module 3_P 3-12_P3-22_P3-18_Linear Programming_Worksheet Answer

Managerial Decision Modeling Module 3_P 3-12_P3-22_P3-18_Linear Programming_Worksheet Answer

Problem 3-12
Problem:

A political candidate is planning his media budget for an upcoming ellection.
he has \$90,500 to spend. His politiacal consultants have provided him with the following
estimates of additional votes as a result of the advertising effort:

For every small sighn placed by the rodside, he will garner 10 additional votes

For every large sign placed by the roadside, he will garner 30 additional votes

For every thousand bumper stickers placed on cars, he will garner 10 additional votes

For every hundred personal mailings to registered voters, he will garner 40 additional votes,

For ever radio ad heard daily in the last month before the election, he will garner 485 additional votes ………………………………………..

Small Large Bumper Mailings Ads
Number of units
Constraints:
Max small
Max large
Max bumper
Max mailings
Total budget
Min small
Min large
Min bumper
Min mailings
LHS Sign RHS

Problem 3-22

Cargo A Cargo B Cargo C Cargo D Cargo E
Weight in tons
Value
Constraints:
Weight limit (tons)
Volume limit (Cu. m.)
Cargo A limit (tons)
Cargo B limit (tons)
Cargo C limit (tons)
Cargo D limit (tons)
Cargo E limit (tons)
Min cargo A (tons)
Min cargo B (tons)
Min cargo C (tons)
Min cargo D (tons)
Min cargo E (tons)

Problem:

The load master for a freighter wants to determin the mix of cargo to be carried on the next trip.
The ship’s volume limit for cargo is 100,000 cubic meters , and its weight capacity is 2,310 tons.
The master has five different types of cargo from which to select and wishes to maximize the calue of the selected shipment.
However, to make sure that none of his customers are ignored, the load master would like to make sure that at least 20%
of each cargo’s available weight is selected. The specifications for the five cargoes are shown in the following table

Problem P 3-18

A nursing home employs attendants who are needed around the clock. Each attendant is paid the same, regardless of when his or her shift begins. Each shift is 8 consecutive hours. Shifts begin at 6 A.M., 10 A.M., 2 P.M., 6 P.M., 10 P.M., and 2 A.M. The following table showws the nursing home’s requirements for the numbers of attendants to be on duty during specifiv time periods

Shift A Shift B Shift C Shift D Shift E Shift F
Nos. of Attendants
SHIFT TIME NUMBER OF ATTENDANTS Total Salary Paid
A 2-6 A.M. 8
B 6-10 A.M. 27 2-6 A.M.
C 10 A.M – 2 P.M. 12 6-10 A.M.
D 2-6 P.M. 23 10 A.M – 2 P.M.
E 6-10 P.M. 29 2-6 P.M.
F 10 P.M. – 2 A.M. 23 6-10 P.M.
10 P.M. – 2 A.M.
(a) What is the minimum number of attendants needed to satisfy the nursing home’s requirements?
Ans:
The minimum number of attendants to satisfy the nursing home requirements would be 29 which is the maximum of number of attendants to be on duty during specific time periods.

(b) the nursing home would like to use the same number of attendants determined in part (a)
but would like to minimize the total salary paid. Attendants are paid \$16 per hour during 8 A.M.- 8 P.M.,
and a 25% premium per hour during 8 P.M. – 8 A.M. How should the attendants now be scheduled?

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