After eating residence cafeteria food for a year, Katie decided that she will start exercising every day to shed her freshman fifteen and to lead a #bodyisatemple lifestyle. As Katie is new to working out, she only knows two exercises: push-ups and squats. To start off slow, Katie will dedicate no more than 5 minutes a day to working out. In 5 minutes, Katie can do 25 push-ups (average 0.2 minute per push-up), or Katie can do 50 squats (average 0.1 minute per squat). While browsing online for quick work out tips, Katie read that people with bad shoulders should do no more than 15 push-ups a day, and people with bad knees no more than 40 squats a day. Being really out of shape, Katie has both bad shoulders and bad knees, but wants to do at least 10 squats a day, because she loves the Kardashians. Katie also read online that each push-up burns 80 calories and each squat burns 50 calories. How many push-ups and squats should Katie do per day for her workout while maximizing the calories burnt? Solve for the optimal solution graphically by drawing out the feasible region and isoprofit line.

Report all answers in whole numbers, or use as few decimals as possible. Do not write answers in fractions. Do not include any symbols, signs, or spaces in the answers.

Slope of the objective function (use as few decimals as possible; do not write in fraction) = -______

Number of Push-ups (round to the nearest whole number) = _______

Number of Squats (round to the nearest whole number) = _______

Total Calories Burnt (round to the nearest whole number; do not add commas or spaces) = _______

How many optimal solution(s) is / are there?________ (answer with a whole number, or infinity)