speed skaters spend many hours training on and off the ice to improve their strength and conditioning. Suppose a team has a monthly training budget of $7000. ice rental costs $125/h, and gym rental for strength training costs $55/h. Determine the solution region and all possible combination of training time that the team can afford. THANKSSS.

Question

speed skaters spend many hours training on and off the ice to improve their strength and conditioning. Suppose a team has a monthly training budget of $7000. ice rental costs $125/h, and gym rental for strength training costs $55/h. Determine the solution region and all possible combination  of training time that the team can afford. THANKSSS.

pfenn1 · Answer

Let x = the hours of ice time and y = the hours of gym rental.  Then $$125x+55y \le 7000$$

anonymous · Answer

how do you find the combinations?

pfenn1 · Answer

Good question.  I don't have any bright ideas.  I would just set y = 0 and calculate the maximum x. and then set x= 0 and calculate the maximum y.$$125x \le7000$$$$0\le x \le56$$$$55y \le 7000$$$$0 \le y \le 127$$On a graph it would something like|dw:1339161292301:dw|