b. Solve these equations using the Excel Solver. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number.) Decision for X1 Decision for X2 Decision for X3 Total profit Milling Lathes Grinders Sales $ Slack Variables S1 S2 S3 S4 Resources Used 60 90 70 2,180 c. How much of each constraint or resource is unused? (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number.) Hours 1,140 870 680 2,580 0 25 0 0

Practical Management Science
6th Edition
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Chapter2: Introduction To Spreadsheet Modeling
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b. Solve these equations using the Excel Solver. (Leave no cells blank - be certain to
enter "0" wherever required. Round your answers to the nearest whole number.)
Decision for X1
Decision for X2
Decision for X3
Total profit
Milling
Lathes
Grinders
Sales
$
Slack
Variables
S1
S2
S3
S4
Resources
Used
Hours
1,140
870
680
2,580
c. How much of each constraint or resource is unused? (Leave no cells blank - be
certain to enter "0" wherever required. Round your answers to the nearest whole
number.)
90
70
2,180
0
25
60
0
0
d-1. Would the machines work at capacity?
Transcribed Image Text:b. Solve these equations using the Excel Solver. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number.) Decision for X1 Decision for X2 Decision for X3 Total profit Milling Lathes Grinders Sales $ Slack Variables S1 S2 S3 S4 Resources Used Hours 1,140 870 680 2,580 c. How much of each constraint or resource is unused? (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number.) 90 70 2,180 0 25 60 0 0 d-1. Would the machines work at capacity?
A manufacturing firm has discontinued production of a certain unprofitable product line.
Considerable excess production capacity was created as a result. Management is
considering devoting this excess capacity to one or more of three products: X1, X2, and
X3.
Machine hours required per unit are
MACHINE TYPE
Milling machine
Lathe
Grinder
Milling machines
Lathes
Grinders
The available time in machine hours per week is
X1
X2
X3
X1
6
6
0
The salespeople estimate they can sell all the units of X₁ and X2 that can be made.
But the sales potential of X3 is 90 units per week maximum.
UNIT
PROFITS
PRODUCT
X2
X3
4
6
0
5
2 4
Unit profits for the three products are
$9
12
8
s.t
Maximize Z =
MACHINE HOURS
PER WEEK
730
460
260
a. Set up the equations that can be solved to maximize the profit per week. (Leave no
cells blank - be certain to enter "0" wherever required.)
9 X1 +
12 X2 +
8 X3
Transcribed Image Text:A manufacturing firm has discontinued production of a certain unprofitable product line. Considerable excess production capacity was created as a result. Management is considering devoting this excess capacity to one or more of three products: X1, X2, and X3. Machine hours required per unit are MACHINE TYPE Milling machine Lathe Grinder Milling machines Lathes Grinders The available time in machine hours per week is X1 X2 X3 X1 6 6 0 The salespeople estimate they can sell all the units of X₁ and X2 that can be made. But the sales potential of X3 is 90 units per week maximum. UNIT PROFITS PRODUCT X2 X3 4 6 0 5 2 4 Unit profits for the three products are $9 12 8 s.t Maximize Z = MACHINE HOURS PER WEEK 730 460 260 a. Set up the equations that can be solved to maximize the profit per week. (Leave no cells blank - be certain to enter "0" wherever required.) 9 X1 + 12 X2 + 8 X3
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