Optimizing Exercise: Graphing Restrictions for Calorie and Cost Goals

[might hire]

Okay, here is the problem, ; Remesh likes to run outdoors and ride his bicycle at the veledrome. He burns about 400 calories/h running, and 300/h riding his bike. It costs $6/h to ride in the veledrome. Ramesh hopes to develope a weekly exersise program that will burn 4800 calories, cost no more than $24, and require a maximum of 8 hours... Now I need the restrictions to graph this problem, (x=running/h; y=bike/h) I so far have; x (> or equal to) 0, y (> or equal to) 0, x+y (< or equal to) 8, and y (< or equal to) 4. I think I'm missing one, and think it might have to do with the calories, so is 400x+300y (> or equal to) 4800. But would it be applicable to the hour restriction? Thanks in Advance!

 

[mathmike]

well the way i figure it it cannot be done in eight hours, even if he runs the entire 8 hours he is only burning 3200 cal

 

[might hire]

Wow, I see that now, the problem is unsolvable, thanks Mike, you saved me a lot of writing! lol