Anya’s Jeans has production process organized in three distinct stages: cutting; sewing and finishing. She produces three types of jeans, namely peddle pushers, hipsters and low cuts. The number of minutes each type requires in each production process in shown below.
|
Type
|
Cutting
|
Sewing
|
Finishing
|
|
Peddle Pusher
|
4
|
6
|
2
|
|
Hipster
|
6
|
7
|
4
|
|
Low Rider
|
9
|
3
|
6
|
On average, there are 6400 minutes of cutting time, 3500 minutes of sewing time and 2400 minutes of finishing time each day. Given that the company makes $10 profit on each peddle pusher $50 on each hipster and $60 on each low cut and that the company sells all the jeans made Anya wishes to maximize her profits but needs a model to determine how many of each type of jeans to produce.
1. Clearly defining your variables, show the model which best represents the problem Anya faces.
2. A second year Math student from a nearby campus advised Anya should produce no peddle pushers, 230 hipsters and 47 low cuts in order to maximise profits. Could you determine the amount of profit Anya would make if she followed that advice?