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(Solved) QMB3600 HW-9 Problem #1 A refrigerator manufacturer makes 3 models: Mini, Standard, and Large. Upon selling these products, the profit realized per...


I need a detailed solution to problem #2 using the graph paper. I understand the first one, but I am having trouble with the second

QMB3600 HW-9
Problem #1
A refrigerator manufacturer makes 3 models: Mini, Standard, and Large. Upon selling these
products, the profit realized per unit is:
Mini:
$150
Standard: $200
Large:
$250
In order to produce each model, the parts’ requirements are as follows:
Number of
Grill covers
Mini
Standard
Large Number of
Ice Makers 1
1
2 1
2
2 Manufacturing
Time (hours)
6
10
15 During the next manufacturing cycle, the inventory department has 600 Grill Covers and 800
Ice Makers in stock. The factory has 3000 hours of manufacturing time available.
We would like to determine how many Mini models (M), Standard models (S), and Large
models (L) should the company make to maximize profit.
The linear programming model for the problem is:
Max (150M + 200S + 250L)
s.t. 1M + 1S + 2L
<
1M + 2S + 2L <
6M + 10S + 15L <
M, S, L > 0 600
800
3000 Grill Covers
Ice Makers
Manufacturing Time Questions:
1. Determine the solution to the above problem using MS Excel – use the approach
described in the handout posted earlier on Blackboard. Print and submit your solution
from the MS Excel spreadsheet.
2. On the printout of the solution, clearly explaining the reason for your answers, identify
the following:
a. the optimal solution, i.e. decision variable values.
b. maximum value of the objective function.
c. binding constraints.
d. non-binding constraints.
e. For resources that are not fully utilized, how much is unutilized? Problem #2
Solve the following Linear Programming problem graphically (to scale) and identify the
optimal solution and the corresponding value of the objective function. USE GRAPH PAPER
utilizing the entire sheet. If you do not use graph paper no credit will be given.
Max (18x1 + 12x2)
s.t.
2x1 + x2
<
x2
>
x1 + x2
=
x1 , x2 > 0 40
10
40 1. Where is the feasible region?
2. What is the optimal solution?
3. What is the maximum value of the objective function?

 


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