Homework Answers
a) Linear program is following:
Decision variables:
Let P1, P2, P3 be the number of peanut POWER energy bars to be produced in month 1, 2 and 3 resp
C1, C2, C3 be the number of peanut CRUNCH energy bars to be produced in month 1, 2 and 3 resp
PV1, PV2, PV3 be the ending inventory of peanut POWER in month 1, 2, 3 resp
CV1, CV2, CV3 be the ending inventory of peanut CRUNCH in month 1, 2, 3 resp
Objective:
Minimize 2P1+2P2+2P3+2.5C1+2.5C2+2.5C3+.1PV1+.1PV2+.1PV3+.15CV1+.15CV2+.15CV3
Constraints:
P1-PV1 = 30000-10000
P2-PV2+PV1 = 50000
P3-PV3+PV2 = 40000
C1-CV1 = 80000-20000
C2-CV2+CV1 = 100000
C3-CV3+CV2 = 70000
60P1+40C1 <= 5000000
60P2+40C2 <= 6000000
60P3+40C3 <= 7000000
.01P1+.015C1 <= 1500
.01P2+.015C2 <= 2000
.01P3+.015C3 <= 2000
PV3 = 10000
CV3 = 20000
P1, P2, P3, C1, C2, C3, PV1, PV2, PV3, CV1, CV2, CV3 >= 0
b) Spreadsheet model and solution using Solver is following:
FORMULA VIEW:
Total cost = $ 870,667
Add Answer to:
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