A Garment Manufacturing Company makes Pants and Jackets using Cotton and Polyest
ID: 452445 • Letter: A
Question
A Garment Manufacturing Company makes Pants and Jackets using Cotton and Polyester. The material requirement for each Pant and Jacket along with Total Material Available in sq yds is listed in the following Table.The company sales each Pant and Jacket for $ 50 and $ 40, respectively.
PANT
Sq Yds
JACKET
Sq yds
Total Max
Sq Yds
Cotton
1
1.5
750
Polyester
2
1
1000
Price
$50
$40
The no of Pants and Jackets that would yield maximum Sales Revenue is:
Pants = 150
Jackets = 190
Pants = 375
Jackets = 250
Pants = 250
Jackets = 300
Pants = 390
Jackets = 290
PANT
Sq Yds
JACKET
Sq yds
Total Max
Sq Yds
Cotton
1
1.5
750
Polyester
2
1
1000
Price
$50
$40
Explanation / Answer
Given Information
Assume x1= Pants;
selling price of pants (x1) = $50
selling price of jackewts (x2) = $40
Objective = 50x1 + 40 x2
Constraints:
x1 + 1.5 x2 <= 750
2 x1 + 1x2<= 1000
x1 and x2 are non negative variables
For solving the constraints wequations we can assume that both the equations are equal.
then
Solving the following eqns
x1 +1,5 x2 = 750
2x1 + 1x2 = 1000
we will get x1 (pants) = 375 and
x2 (jackets) = 250
Which will result a reveue of 50 X 375 +40 X 250 = $28,750
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.