Formulate a system of equations for the situation below and solve:

Mathematics
Tutor: None Selected Time limit: 1 Day

A manufacturer of womens blouses makes 3 types of blouses: sleeveless, short-sleeve & long-sleeve. The time (in min) required by each depart to produce a dozen blouses of each type is shown in the following table

Sleeveless Short-
Sleeve
Long-
Sleeve
Cutting   9 12 15 
Sewing 22 24 28 
Packaging   6   8   8
The cutting, sewing & packaging departments have available a max of 66136 & 40 labor-hours, respectively, per day. How many dozens of each type of blouse can be produced each day if the plant is operated at full capacity?
Nov 29th, 2015

Thank you for the opportunity to help you with your question!

Let the number of sleevelesses be X

let the number of short sleeve be Y

Let the number of long sleeve be Z

9X + 12 Y + 15 Z= 66 *60

22X + 24Y + 28Z = 136* 60

6X + 8Y + 8Z = 40* 60

SOLVING YIELDS

x= 120

y=90

z= 120


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Nov 29th, 2015

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