Emergency HW Help: Algebra 2 Linear Programming - Maximize Profit

[ineedhwhelp]

algebra 2 linear programming: HEEEEELP PLZ!

i don't get it...i can't try because i don't understand. don't try to guide me through. i'll ask my teacher tomorrow. all i need right now, please, is jus for you to Give constraints and a system of inequalities for the following:

Sports on Wheels produces skateboards and roller blades. Producing a skateboard requires 4 hours on machine A and 2 hours on machine B. Producing a pair of roller blades requires 6 hours on machine A, 6 hours on machine B, and 1 hour on machine C. Machine A is available 120 hours per week, macine B is available 72 hours per week, and machine C is available 10 hours per week. If the company profits $33 on each skateboard and $22 on each pair of roller blades, how many of each should be produced to maximize the company's profit?

 

[ineedhwhelp]

hey! please help me!

 

[Mindscrape]

$$S = 4 \gamma + 2 \epsilon$$
$$R = 6 \gamma + 6 \epsilon + \kappa$$

$$24*7 = 120\gamma + 72 \epsilon + 10 \kappa$$

$$S_m = 33$$
$$R_m = 22$$

Hmm, I guess that is all you really asked for. Why is this physics though?

 

[saket]

exactly, what's physics in it?

 

[Mindscrape]

I tried to make it more physics like by using physics constants, and by leaving out a piece of information needed to piece it all together (a must have in almost all physics problems). Economics turned physics, yes!

 

[ineedhwhelp]

mindscrape u helped me well but i can't read the 1st reply u put in this post. can u type it so i cud read it better please?

thank u.

 

[Mindscrape]

Hey man, I'm sorry, but there are super strict rules against giving away answers, and you have made it clear that is the only thing you want. I gave the answer in a funky form. I'll give you a further hint that you want to use that Rm and Sm I gave as

$$M = S*S_m + R*R_m = S*33 + R*22$$

The M is the maximizer, the money maker. If it makes you feel better, this is not an easy problem, and it made me think.