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Unformatted text preview: Test 4 e9an 5 Simplex II Exam IE 380
Spring 2003 This test is to be completed inclass, with no notes. Calculators are allowed, but if a particular
solution method is required, it must be used to receive full credit for the problem. The entire
class period is allowed for the exam, please do your work that you want graded on the provided paper. Turn off your cellphone. Please indicate which two problems you want graded in an unambiguous way!!!
CIRCLE YES or NO for each PROBLEM!!! If you do not tell me which problems to grade, I will grade 1 and 2 only! You can only get 100% on this test! Problem 1 Grade? YES NO
Problem 2 Grade? YES NO Problem 3 Grade? YES NO ill/“l Ll Sig/075% 1. Progress City is studying the feasibility of introducing a mass transit bus system that will alleviate the smog problem by reducing in—city driving. The study seeks the determination
of the minimum number of buses that can handle the transportation needs of the population.
The union of bus drivers requires workers be given 8 hour shifts on the same bus, so busses
will be used in 8 hour shifts as well. The city engineer has analyzed the demand data and determined the following minimum number of busses to satisfy demand as follows: Minimum number i
t
. Forrnulate a linear program that tells the city engineer exactly how many busses should be used to satisfy the demand while also satisfying the restriction that busses run for 8 hours. Assume that the engineer wants to minimize the number of busses used. Lat .c‘libusm (Irons/413E746
L [th MAS/A9705. l mar—8w
a’L Vow/L“ MM
3 EW" VFW
4 WW ’0 3F”?
5 4PM“ WMJM
BM’VW .
L9 in each coma?!” WW 1 gallon
of bread soya meat dried fish fruit of Milk
Protein (g) 2 12 10 1
Carbohydrates (g) 2
12 0 0 4 3
Fat (g) 1 8 3 0 4
Vitamins (units) 2 2 4 6 2
Cost (cents/amt) 6 36 32 18 10
497/ XE : 51+ s/r‘cw of 29/th B— H‘Lvlt’glfb“
XS .— 453/55 O4 £0&4Wd M .: 4H: [J95 O‘F drﬂédgs/L KM x4= dues or amt
er 44‘3a/Amo of $021045an \“ 3. Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of the differences in the furnaces at each mill, the time and cost to produce a ton of each type of steel differs for each mill. The times and costs are shown here: ' ill 1
L) Mill 2
Mill 3 i #4,“ Steel 1
Time per ton Steel 2
Time per ton Cost per ton (in minutes) Cost er ton (in minutes)
$1 0 20 35 l l 22
$12 24 $9 1 8
$14 28 $ 1 0 30 Steelco has contracts that require them to produce a total of 500 tons of Steel 1 and 600 tons of Steel 2. The management of Steelco wants a linear program they can use to tell them how much of each steel each mill should produce to satisfy these conditions and '\ minimize the cost of manufacturing the required steel. r C —— [I 2 Ad. 293k)“ :awssr Witt/mob arm/(raj $623 sic Wire /0/<” 1‘ /Z/(,2/ '1‘ /(/X/5 lL _//)<;; "l 9X25! jam
W st. X” + 292 « ><..é 2 5‘00 QOXH + X24 é CWFHU+€D>
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