random question for ya! can you handle it? haha

[curry_bro]

The beyond 2006 tent company can manufacture up to 180 tents per week. They produce two different models, the 3-person rover and the 4-person adventure tent. These tents cost $80 and $120 to make, respectively. The beyond 2006 tent company has a manufacturing budget of $16000 per week. it makes a profit of $28 on the rover and $38 on the Adventurer and expects to be able to sell all tents made in a week.
(a) Given 'x' is the number of rover tents and 'y' is the number of Adventure tents, state the constraints (right) as inequalities
(b) express the expected profit in terms of 'x' and 'y'.

its not very difficult, but its a tad tricky. CAN YOU DO IT? of course    

[curry_bro]

oh god... * (write as inequalities)... im tired ok

[Yendall]

What module is this?

[curry_bro]

surprisingly, its actually a graphs and relationships question despite all the company talk. the emphasis is on contraints, feasible regions on graphs etc though, so i suppose it fits the module

[Yendall]

I would attempt it, but I didn't study this module 

[Daenerys Targaryen]

Have you got the solutions?

[Stick]

The beyond 2006 tent company can manufacture up to 180 tents per week. They produce two different models, the 3-person rover and the 4-person adventure tent. These tents cost $80 and $120 to make, respectively. The beyond 2006 tent company has a manufacturing budget of $16000 per week. it makes a profit of $28 on the rover and $38 on the Adventurer and expects to be able to sell all tents made in a week.
(a) Given 'x' is the number of rover tents and 'y' is the number of Adventure tents, state the constraints (right) as inequalities
(b) express the expected profit in terms of 'x' and 'y'.

its not very difficult, but its a tad tricky. CAN YOU DO IT? of course    

These get better with practice, so keep attempting them because it's a certainty linear programming questions will appear on the exams.

Part A
So the first constraint refers to the number of tents that can be made in a week. This is simply x+y≤180 (the number of rover tents made in a week and the number of adventure tents made in a week must be less than or equal to 180). It's a good idea to understand the inequalities in the context of the problem because it can help you check your answer - in this case, what I have said matches closely with the first sentence of the problem.

The second constraint is defined by the budget of the company and is 80x+120y≤16000 (it is not necessary to simplify the inequality unless told to do so). In this instance, the constraint is really saying: the total weekly cost of producing x rover tents at $80 and y adventure tents at $120 must be less than or equal to the company budget of $16000.

Part B
The profit equation is P=28x+38y. This part is generally much easier if you know what you're doing, because it is more difficult to disguise this information in the problem (in this case it sticks out like a red thumb because of the word 'profit' in there). Be careful though - many students accidentally graph the objective function because they do not understand its meaning, or get it confused with the constraints.

I hope I've explained this well. If you're still having problems, please ask me for help. Good luck with the rest of your revision.