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

Anonymous
timer Asked: Nov 29th, 2015
account_balance_wallet $5

Question Description

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?

Tutor Answer

mickeygabz
School: UC Berkeley

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


Please let me know if you need any clarification. I'm always happy to answer your questions.

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